diff --git a/src/comm.cpp b/src/comm.cpp
index b6f905d9a2..ad0c836432 100644
--- a/src/comm.cpp
+++ b/src/comm.cpp
@@ -76,7 +76,7 @@ Comm::Comm(LAMMPS *lmp) : Pointers(lmp)
   grid2proc = nullptr;
   xsplit = ysplit = zsplit = nullptr;
   rcbnew = 0;
-  multi_tiered = 0;
+  multi2 = 0;
 
   // use of OpenMP threads
   // query OpenMP for number of threads/process set by user at run-time
@@ -242,9 +242,9 @@ void Comm::init()
   for (int i = 0; i < nfix; i++)
     if (fix[i]->maxexchange_dynamic) maxexchange_fix_dynamic = 1;
 
-  // Can't used multi/tiered communication with Newton off
-  if (force->newton == 0 && multi_tiered)
-    error->all(FLERR,"Cannot use multi/tiered communication with Newton off");
+  // Can't used multi2 communication with Newton off
+  if (force->newton == 0 && multi2)
+    error->all(FLERR,"Cannot use multi2 communication with Newton off");
 }
 
 /* ----------------------------------------------------------------------
@@ -331,10 +331,10 @@ void Comm::modify_params(int narg, char **arg)
       for (i=nlo; i<=nhi; ++i)
         cutusermulti[i] = cut;
       iarg += 3;
-    } else if (strcmp(arg[iarg],"cutoff/tiered") == 0) {
+    } else if (strcmp(arg[iarg],"cutoff/multi2") == 0) {
       if (mode == Comm::SINGLE)
-        error->all(FLERR,"Use cutoff/tiered in mode multi only");
-      multi_tiered = 1;
+        error->all(FLERR,"Use cutoff/multi2 in mode multi only");
+      multi2 = 1;
       iarg += 1;
     } else if (strcmp(arg[iarg],"vel") == 0) {
       if (iarg+2 > narg) error->all(FLERR,"Illegal comm_modify command");
diff --git a/src/comm.h b/src/comm.h
index 037eaab348..d8d842ace5 100644
--- a/src/comm.h
+++ b/src/comm.h
@@ -161,7 +161,7 @@ class Comm : protected Pointers {
                          int (*)(int, char *, int &, int *&, char *&, void *),
                          int, char *&, int, void *, int);
   void rendezvous_stats(int, int, int, int, int, int, bigint);
-  int multi_tiered;                 // 1 if multi cutoff is intra-type cutoff
+  int multi2;                        // 1 if multi cutoff is intra-type cutoff
 
  public:
   enum{MULTIPLE};
diff --git a/src/comm_brick.cpp b/src/comm_brick.cpp
index c9fd00e9f5..981e86c2a4 100644
--- a/src/comm_brick.cpp
+++ b/src/comm_brick.cpp
@@ -174,8 +174,8 @@ void CommBrick::setup()
     cutghost[0] = cutghost[1] = cutghost[2] = cut;
 
     if (mode == Comm::MULTI) {
-      if (multi_tiered) {
-        // If using tiered binlists, use the itype-itype interaction distance for communication
+      if (multi2) {
+        // If using multi2 binlists, use the itype-itype interaction distance for communication
         double **cutneighsq = neighbor->cutneighsq;
          for (i = 1; i <= ntypes; i++) {
           cut = 0.0;
diff --git a/src/comm_tiled.cpp b/src/comm_tiled.cpp
index b82d54b3ab..16ae86b4a3 100644
--- a/src/comm_tiled.cpp
+++ b/src/comm_tiled.cpp
@@ -176,8 +176,8 @@ void CommTiled::setup()
 
   if (mode == Comm::MULTI) {
     double cut;
-    if (multi_tiered) {
-      // If using tiered binlists, use the itype-itype interaction distance for communication
+    if (multi2) {
+      // If using multi2 binlists, use the itype-itype interaction distance for communication
       double **cutneighsq = neighbor->cutneighsq;
        for (i = 1; i <= ntypes; i++) {
         cut = 0.0;
diff --git a/src/nbin.cpp b/src/nbin.cpp
index 64ae7e7b83..4ab3270287 100644
--- a/src/nbin.cpp
+++ b/src/nbin.cpp
@@ -31,6 +31,21 @@ NBin::NBin(LAMMPS *lmp) : Pointers(lmp)
   bins = nullptr;
   atom2bin = nullptr;
 
+  nbinx_tiered = nullptr; nbiny_tiered = nullptr; nbinz_tiered = nullptr;
+  mbins_tiered = nullptr;
+  mbinx_tiered = nullptr; mbiny_tiered = nullptr, mbinz_tiered = nullptr;
+  mbinxlo_tiered = nullptr;
+  mbinylo_tiered = nullptr;
+  mbinzlo_tiered = nullptr;
+  binsizex_tiered = nullptr; binsizey_tiered = nullptr; binsizez_tiered = nullptr;
+  bininvx_tiered = nullptr; bininvy_tiered = nullptr; bininvz_tiered = nullptr;
+  binhead_tiered = nullptr;
+  bins_tiered = nullptr;
+  atom2bin_tiered = nullptr;
+  maxbins_tiered = nullptr;
+
+  maxtypes = 0;
+
   neighbor->last_setup_bins = -1;
 
   // geometry settings
@@ -48,6 +63,37 @@ NBin::~NBin()
   memory->destroy(binhead);
   memory->destroy(bins);
   memory->destroy(atom2bin);
+  
+  if (!bins_tiered) return;
+  
+  memory->destroy(nbinx_tiered);
+  memory->destroy(nbiny_tiered);
+  memory->destroy(nbinz_tiered);
+  memory->destroy(mbins_tiered);
+  memory->destroy(mbinx_tiered);
+  memory->destroy(mbiny_tiered);
+  memory->destroy(mbinz_tiered);
+  memory->destroy(mbinxlo_tiered);
+  memory->destroy(mbinylo_tiered);
+  memory->destroy(mbinzlo_tiered);
+
+  memory->destroy(binsizex_tiered);
+  memory->destroy(binsizey_tiered);
+  memory->destroy(binsizez_tiered);
+  memory->destroy(bininvx_tiered);
+  memory->destroy(bininvy_tiered);
+  memory->destroy(bininvz_tiered);
+
+  for (int n = 1; n <= maxtypes; n++) {
+    memory->destroy(binhead_tiered[n]);
+    memory->destroy(bins_tiered[n]);
+    memory->destroy(atom2bin_tiered[n]);
+  }
+  delete [] binhead_tiered;
+  delete [] bins_tiered;
+  delete [] atom2bin_tiered;
+
+  memory->destroy(maxbins_tiered);  
 }
 
 /* ---------------------------------------------------------------------- */
@@ -77,95 +123,3 @@ void NBin::copy_neighbor_info()
 
   if (cutoff_custom > 0.0) cutneighmax = cutoff_custom;
 }
-
-/* ----------------------------------------------------------------------
-   setup for bin_atoms()
-------------------------------------------------------------------------- */
-
-void NBin::bin_atoms_setup(int nall)
-{
-  // binhead = per-bin vector, mbins in length
-  // add 1 bin for USER-INTEL package
-
-  if (mbins > maxbin) {
-    maxbin = mbins;
-    memory->destroy(binhead);
-    memory->create(binhead,maxbin,"neigh:binhead");
-  }
-
-  // bins and atom2bin = per-atom vectors
-  // for both local and ghost atoms
-
-  if (nall > maxatom) {
-    maxatom = nall;
-    memory->destroy(bins);
-    memory->create(bins,maxatom,"neigh:bins");
-    memory->destroy(atom2bin);
-    memory->create(atom2bin,maxatom,"neigh:atom2bin");
-  }
-}
-
-/* ----------------------------------------------------------------------
-   convert atom coords into local bin #
-   for orthogonal, only ghost atoms will have coord >= bboxhi or coord < bboxlo
-     take special care to insure ghosts are in correct bins even w/ roundoff
-     hi ghost atoms = nbin,nbin+1,etc
-     owned atoms = 0 to nbin-1
-     lo ghost atoms = -1,-2,etc
-     this is necessary so that both procs on either side of PBC
-       treat a pair of atoms straddling the PBC in a consistent way
-   for triclinic, doesn't matter since stencil & neigh list built differently
-------------------------------------------------------------------------- */
-
-int NBin::coord2bin(double *x)
-{
-  int ix,iy,iz;
-
-  if (!std::isfinite(x[0]) || !std::isfinite(x[1]) || !std::isfinite(x[2]))
-    error->one(FLERR,"Non-numeric positions - simulation unstable");
-
-  if (x[0] >= bboxhi[0])
-    ix = static_cast<int> ((x[0]-bboxhi[0])*bininvx) + nbinx;
-  else if (x[0] >= bboxlo[0]) {
-    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx);
-    ix = MIN(ix,nbinx-1);
-  } else
-    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx) - 1;
-
-  if (x[1] >= bboxhi[1])
-    iy = static_cast<int> ((x[1]-bboxhi[1])*bininvy) + nbiny;
-  else if (x[1] >= bboxlo[1]) {
-    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy);
-    iy = MIN(iy,nbiny-1);
-  } else
-    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy) - 1;
-
-  if (x[2] >= bboxhi[2])
-    iz = static_cast<int> ((x[2]-bboxhi[2])*bininvz) + nbinz;
-  else if (x[2] >= bboxlo[2]) {
-    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz);
-    iz = MIN(iz,nbinz-1);
-  } else
-    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz) - 1;
-
-  return (iz-mbinzlo)*mbiny*mbinx + (iy-mbinylo)*mbinx + (ix-mbinxlo);
-}
-/* ----------------------------------------------------------------------
-   to be overridden by NBinType
-   ------------------------------------------------------------------------- */
-
-int NBin::coord2bin(double * x, int itype)
-{
-  error->all(FLERR,"coord2bin(x, itype) not available.\n");
-  return -1;
-}
-
-/* ---------------------------------------------------------------------- */
-
-double NBin::memory_usage()
-{
-  double bytes = 0;
-  bytes += maxbin*sizeof(int);
-  bytes += 2*maxatom*sizeof(int);
-  return bytes;
-}
diff --git a/src/nbin.h b/src/nbin.h
index 96cc7eac64..33b93ef79c 100644
--- a/src/nbin.h
+++ b/src/nbin.h
@@ -22,6 +22,9 @@ class NBin : protected Pointers {
  public:
   int istyle;                      // 1-N index into binnames
   bigint last_bin;                 // last timestep atoms were binned
+  double cutoff_custom;        // cutoff set by requestor  
+
+  // Variables for NBinStandard
 
   int nbinx,nbiny,nbinz;           // # of global bins
   int mbins;                       // # of local bins and offset on this proc
@@ -35,35 +38,32 @@ class NBin : protected Pointers {
   int *bins;                   // index of next atom in same bin
   int *atom2bin;               // bin assignment for each atom (local+ghost)
 
-  double cutoff_custom;        // cutoff set by requestor
-
-  // Analogues for NBinType
-  int * nbinx_type, * nbiny_type, * nbinz_type;
-  int * mbins_type;
-  int * mbinx_type, * mbiny_type, * mbinz_type;
-  int * mbinxlo_type, * mbinylo_type, * mbinzlo_type;
-  double * binsizex_type, * binsizey_type, * binsizez_type;
-  double * bininvx_type, * bininvy_type, * bininvz_type;
-
-  int ** binhead_type;
-  int ** bins_type;
-  int ** atom2bin_type;
+  // Analogues for NBinMultimulti2
+  
+  int *nbinx_multi2, *nbiny_multi2, *nbinz_multi2;
+  int *mbins_multi2;
+  int *mbinx_multi2, *mbiny_multi2, *mbinz_multi2;
+  int *mbinxlo_multi2, *mbinylo_multi2, *mbinzlo_multi2;
+  double *binsizex_multi2, *binsizey_multi2, *binsizez_multi2;
+  double *bininvx_multi2, *bininvy_multi2, *bininvz_multi2;
 
+  int **binhead_multi2;
+  int **bins_multi2;
+  int **atom2bin_multi2;
+  
   NBin(class LAMMPS *);
   ~NBin();
   void post_constructor(class NeighRequest *);
   virtual void copy_neighbor_info();
-  virtual void bin_atoms_setup(int);
-  double memory_usage();
 
+  virtual void bin_atoms_setup(int) = 0;
   virtual void setup_bins(int) = 0;
   virtual void bin_atoms() = 0;
+  virtual double memory_usage() {return 0.0;}
 
   // Kokkos package
 
   int kokkos;                       // 1 if class stores Kokkos data
-  // For NBinType
-  virtual int coord2bin(double *, int);
 
  protected:
 
@@ -81,12 +81,23 @@ class NBin : protected Pointers {
   int dimension;
   int triclinic;
 
-  int maxbin;                       // size of binhead array
+  // data for standard NBin
+  
   int maxatom;                      // size of bins array
 
+  // data for standard NBin
+
+  int maxbin;                       // size of binhead array
+
+  // data for multi/multi2 NBin
+
+  int maxtypes;                     // size of multi2 arrays
+  int * maxbins_multi2;             // size of 2nd dimension of binhead_multi2 array
+
   // methods
 
   int coord2bin(double *);
+  int coord2bin(double *, int);  
 };
 
 }
diff --git a/src/nbin_multi2.cpp b/src/nbin_multi2.cpp
new file mode 100644
index 0000000000..7a87ba940c
--- /dev/null
+++ b/src/nbin_multi2.cpp
@@ -0,0 +1,414 @@
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   http://lammps.sandia.gov, Sandia National Laboratories
+   Steve Plimpton, sjplimp@sandia.gov
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#include "nbin_multi2.h"
+#include "neighbor.h"
+#include "atom.h"
+#include "group.h"
+#include "domain.h"
+#include "comm.h"
+#include "update.h"
+#include "error.h"
+#include "memory.h"
+
+using namespace LAMMPS_NS;
+
+#define SMALL 1.0e-6
+#define CUT2BIN_RATIO 100
+
+/* ---------------------------------------------------------------------- */
+
+NBinMulti2::NBinMulti2(LAMMPS *lmp) : NBin(lmp) {}
+
+/* ----------------------------------------------------------------------
+   setup for bin_atoms()
+------------------------------------------------------------------------- */
+
+void NBinMulti2::bin_atoms_setup(int nall) 
+{
+  // binhead_multi2[n] = per-bin vector mbins in length mbins_multi2[n]
+  
+  for (int n = 1; n <= maxtypes; n++) {
+    if (mbins_multi2[n] > maxbins_multi2[n]) {
+      maxbins_multi2[n] = mbins_multi2[n];
+      memory->destroy(binhead_multi2[n]);
+      memory->create(binhead_multi2[n], mbins_multi2[n], "neigh:mbins_multi2");
+    }
+  }
+
+  // bins_multi2[n] and atom2bin_multi2[n] = per-atom vectors
+  // for both local and ghost atoms
+
+  if (nall > maxatom) {
+    maxatom = nall;
+    for (int n = 1; n <= maxtypes; n++) {
+      memory->destroy(bins_multi2[n]);
+      memory->destroy(atom2bin_multi2[n]);
+      memory->create(bins_multi2[n], maxatom, "neigh:bin_multi2");
+      memory->create(atom2bin_multi2[n], maxatom, "neigh:atom2bin_multi2");
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------
+   Identify index of type with smallest cutoff
+------------------------------------------------------------------------ */
+
+int NBinMulti2::itype_min() {
+
+  int itypemin = 1;
+  double ** cutneighsq;
+
+  cutneighsq = neighbor->cutneighsq;
+
+  for (int n = 1; n <= atom->ntypes; n++) {
+    if (cutneighsq[n][n] < cutneighsq[itypemin][itypemin]) {
+      itypemin = n;
+    }
+  }
+
+  return itypemin;
+}
+
+/* ----------------------------------------------------------------------
+   setup neighbor binning geometry
+   ---------------------------------------------------------------------- */
+
+void NBinMulti2::setup_bins(int style)
+{
+  int n;
+  int itypemin;
+
+  // Initialize arrays
+  
+  if (atom->ntypes > maxtypes) {
+
+    // Clear any/all memory for existing types
+
+    for (n = 1; n <= maxtypes; n++) {
+      memory->destroy(atom2bin_multi2[n]);
+      memory->destroy(binhead_multi2[n]);
+      memory->destroy(bins_multi2[n]);
+    }
+    delete [] atom2bin_multi2;
+    delete [] binhead_multi2;
+    delete [] bins_multi2;
+
+    // Realloacte at updated maxtypes
+
+    maxtypes = atom->ntypes;
+
+    atom2bin_multi2 = new int*[maxtypes+1]();
+    binhead_multi2 = new int*[maxtypes+1]();
+    bins_multi2 = new int*[maxtypes+1]();
+
+    memory->destroy(nbinx_multi2);
+    memory->destroy(nbiny_multi2);
+    memory->destroy(nbinz_multi2);
+    memory->create(nbinx_multi2, maxtypes+1, "neigh:nbinx_multi2");
+    memory->create(nbiny_multi2, maxtypes+1, "neigh:nbiny_multi2");
+    memory->create(nbinz_multi2, maxtypes+1, "neigh:nbinz_multi2");
+
+    memory->destroy(mbins_multi2);
+    memory->destroy(mbinx_multi2);
+    memory->destroy(mbiny_multi2);
+    memory->destroy(mbinz_multi2);
+    memory->create(mbins_multi2, maxtypes+1, "neigh:mbins_multi2");
+    memory->create(mbinx_multi2, maxtypes+1, "neigh:mbinx_multi2");
+    memory->create(mbiny_multi2, maxtypes+1, "neigh:mbiny_multi2");
+    memory->create(mbinz_multi2, maxtypes+1, "neigh:mbinz_multi2");
+
+    memory->destroy(mbinxlo_multi2);
+    memory->destroy(mbinylo_multi2);
+    memory->destroy(mbinzlo_multi2);
+    memory->create(mbinxlo_multi2, maxtypes+1, "neigh:mbinxlo_multi2");
+    memory->create(mbinylo_multi2, maxtypes+1, "neigh:mbinylo_multi2");
+    memory->create(mbinzlo_multi2, maxtypes+1, "neigh:mbinzlo_multi2");
+
+    memory->destroy(binsizex_multi2);
+    memory->destroy(binsizey_multi2);
+    memory->destroy(binsizez_multi2);
+    memory->create(binsizex_multi2, maxtypes+1, "neigh:binsizex_multi2");
+    memory->create(binsizey_multi2, maxtypes+1, "neigh:binsizey_multi2");
+    memory->create(binsizez_multi2, maxtypes+1, "neigh:binsizez_multi2");
+
+    memory->destroy(bininvx_multi2);
+    memory->destroy(bininvy_multi2);
+    memory->destroy(bininvz_multi2);
+    memory->create(bininvx_multi2, maxtypes+1, "neigh:bininvx_multi2");
+    memory->create(bininvy_multi2, maxtypes+1, "neigh:bininvy_multi2");
+    memory->create(bininvz_multi2, maxtypes+1, "neigh:bininvz_multi2");
+
+    memory->destroy(maxbins_multi2);
+    memory->create(maxbins_multi2, maxtypes+1, "neigh:maxbins_multi2");
+    // make sure reallocation occurs in bin_atoms_setup()
+    for (n = 1; n <= maxtypes; n++) {
+      maxbins_multi2[n] = 0;
+    }
+    maxatom = 0;
+  }
+
+  itypemin = itype_min();
+
+  // bbox = size of bbox of entire domain
+  // bsubbox lo/hi = bounding box of my subdomain extended by comm->cutghost
+  // for triclinic:
+  //   bbox bounds all 8 corners of tilted box
+  //   subdomain is in lamda coords
+  //   include dimension-dependent extension via comm->cutghost
+  //   domain->bbox() converts lamda extent to box coords and computes bbox
+
+  double bbox[3],bsubboxlo[3],bsubboxhi[3];
+  double *cutghost = comm->cutghost;
+
+  if (triclinic == 0) {
+    bsubboxlo[0] = domain->sublo[0] - cutghost[0];
+    bsubboxlo[1] = domain->sublo[1] - cutghost[1];
+    bsubboxlo[2] = domain->sublo[2] - cutghost[2];
+    bsubboxhi[0] = domain->subhi[0] + cutghost[0];
+    bsubboxhi[1] = domain->subhi[1] + cutghost[1];
+    bsubboxhi[2] = domain->subhi[2] + cutghost[2];
+  } else {
+    double lo[3],hi[3];
+    lo[0] = domain->sublo_lamda[0] - cutghost[0];
+    lo[1] = domain->sublo_lamda[1] - cutghost[1];
+    lo[2] = domain->sublo_lamda[2] - cutghost[2];
+    hi[0] = domain->subhi_lamda[0] + cutghost[0];
+    hi[1] = domain->subhi_lamda[1] + cutghost[1];
+    hi[2] = domain->subhi_lamda[2] + cutghost[2];
+    domain->bbox(lo,hi,bsubboxlo,bsubboxhi);
+  }
+
+  bbox[0] = bboxhi[0] - bboxlo[0];
+  bbox[1] = bboxhi[1] - bboxlo[1];
+  bbox[2] = bboxhi[2] - bboxlo[2];
+
+  // For each type...
+
+  for (n = 1; n <= atom->ntypes; n++) {
+    // binsize_user only relates to smallest type
+    // optimal bin size is roughly 1/2 the type-type cutoff
+    // special case of all cutoffs = 0.0, binsize = box size
+
+    double binsize_optimal;
+    if (n == itypemin && binsizeflag) binsize_optimal = binsize_user;
+    else binsize_optimal = 0.5*sqrt(neighbor->cutneighsq[n][n]);
+    if (binsize_optimal == 0.0) binsize_optimal = bbox[0];
+    double binsizeinv = 1.0/binsize_optimal;
+
+    // test for too many global bins in any dimension due to huge global domain
+
+    if (bbox[0]*binsizeinv > MAXSMALLINT || bbox[1]*binsizeinv > MAXSMALLINT ||
+	    bbox[2]*binsizeinv > MAXSMALLINT)
+      error->all(FLERR,"Domain too large for neighbor bins");
+
+    // create actual bins
+    // always have one bin even if cutoff > bbox
+    // for 2d, nbinz_multi2[n] = 1
+
+    nbinx_multi2[n] = static_cast<int> (bbox[0]*binsizeinv);
+    nbiny_multi2[n] = static_cast<int> (bbox[1]*binsizeinv);
+    if (dimension == 3) nbinz_multi2[n] = static_cast<int> (bbox[2]*binsizeinv);
+    else nbinz_multi2[n] = 1;
+
+    if (nbinx_multi2[n] == 0) nbinx_multi2[n] = 1;
+    if (nbiny_multi2[n] == 0) nbiny_multi2[n] = 1;
+    if (nbinz_multi2[n] == 0) nbinz_multi2[n] = 1;
+
+    // compute actual bin size for nbins to fit into box exactly
+    // error if actual bin size << cutoff, since will create a zillion bins
+    // this happens when nbin = 1 and box size << cutoff
+    // typically due to non-periodic, flat system in a particular dim
+    // in that extreme case, should use NSQ not BIN neighbor style
+
+    binsizex_multi2[n] = bbox[0]/nbinx_multi2[n];
+    binsizey_multi2[n] = bbox[1]/nbiny_multi2[n];
+    binsizez_multi2[n] = bbox[2]/nbinz_multi2[n];
+
+    bininvx_multi2[n] = 1.0 / binsizex_multi2[n];
+    bininvy_multi2[n] = 1.0 / binsizey_multi2[n];
+    bininvz_multi2[n] = 1.0 / binsizez_multi2[n];
+
+    if (binsize_optimal*bininvx_multi2[n] > CUT2BIN_RATIO ||
+	    binsize_optimal*bininvy_multi2[n] > CUT2BIN_RATIO ||
+	    binsize_optimal*bininvz_multi2[n] > CUT2BIN_RATIO)
+      error->all(FLERR,"Cannot use neighbor bins - box size << cutoff");
+
+    // mbinlo/hi = lowest and highest global bins my ghost atoms could be in
+    // coord = lowest and highest values of coords for my ghost atoms
+    // static_cast(-1.5) = -1, so subract additional -1
+    // add in SMALL for round-off safety
+
+    int mbinxhi,mbinyhi,mbinzhi;
+    double coord;
+
+    coord = bsubboxlo[0] - SMALL*bbox[0];
+    mbinxlo_multi2[n] = static_cast<int> ((coord-bboxlo[0])*bininvx_multi2[n]);
+    if (coord < bboxlo[0]) mbinxlo_multi2[n] = mbinxlo_multi2[n] - 1;
+    coord = bsubboxhi[0] + SMALL*bbox[0];
+    mbinxhi = static_cast<int> ((coord-bboxlo[0])*bininvx_multi2[n]);
+
+    coord = bsubboxlo[1] - SMALL*bbox[1];
+    mbinylo_multi2[n] = static_cast<int> ((coord-bboxlo[1])*bininvy_multi2[n]);
+    if (coord < bboxlo[1]) mbinylo_multi2[n] = mbinylo_multi2[n] - 1;
+    coord = bsubboxhi[1] + SMALL*bbox[1];
+    mbinyhi = static_cast<int> ((coord-bboxlo[1])*bininvy_multi2[n]);
+
+    if (dimension == 3) {
+      coord = bsubboxlo[2] - SMALL*bbox[2];
+      mbinzlo_multi2[n] = static_cast<int> ((coord-bboxlo[2])*bininvz_multi2[n]);
+      if (coord < bboxlo[2]) mbinzlo_multi2[n] = mbinzlo_multi2[n] - 1;
+      coord = bsubboxhi[2] + SMALL*bbox[2];
+      mbinzhi = static_cast<int> ((coord-bboxlo[2])*bininvz_multi2[n]);
+    }
+
+    // extend bins by 1 to insure stencil extent is included
+    // for 2d, only 1 bin in z
+
+    mbinxlo_multi2[n] = mbinxlo_multi2[n] - 1;
+    mbinxhi = mbinxhi + 1;
+    mbinx_multi2[n] = mbinxhi - mbinxlo_multi2[n] + 1;
+
+    mbinylo_multi2[n] = mbinylo_multi2[n] - 1;
+    mbinyhi = mbinyhi + 1;
+    mbiny_multi2[n] = mbinyhi - mbinylo_multi2[n] + 1;
+
+    if (dimension == 3) {
+      mbinzlo_multi2[n] = mbinzlo_multi2[n] - 1;
+      mbinzhi = mbinzhi + 1;
+    } else mbinzlo_multi2[n] = mbinzhi = 0;
+    mbinz_multi2[n] = mbinzhi - mbinzlo_multi2[n] + 1;
+
+    bigint bbin = ((bigint) mbinx_multi2[n]) 
+      * ((bigint) mbiny_multi2[n]) * ((bigint) mbinz_multi2[n]) + 1;
+    if (bbin > MAXSMALLINT) error->one(FLERR,"Too many neighbor bins");
+    mbins_multi2[n] = bbin;
+  }
+
+}
+
+/* ----------------------------------------------------------------------
+   bin owned and ghost atoms by type
+------------------------------------------------------------------------- */
+
+void NBinMulti2::bin_atoms()
+{
+  int i,ibin,n;
+
+  last_bin = update->ntimestep;
+  for (n = 1; n <= maxtypes; n++) {
+    for (i = 0; i < mbins_multi2[n]; i++) binhead_multi2[n][i] = -1;
+  }
+
+  // bin in reverse order so linked list will be in forward order
+  // also puts ghost atoms at end of list, which is necessary
+
+  double **x = atom->x;
+  int *mask = atom->mask;
+  int *type = atom->type;
+  int nlocal = atom->nlocal;
+  int nall = nlocal + atom->nghost;
+
+  if (includegroup) {
+    int bitmask = group->bitmask[includegroup];
+    for (i = nall-1; i >= nlocal; i--) {
+      if (mask[i] & bitmask) {
+        n = type[i];
+        ibin = coord2bin(x[i], n);
+        atom2bin_multi2[n][i] = ibin;
+        bins_multi2[n][i] = binhead_multi2[n][ibin];
+        binhead_multi2[n][ibin] = i;
+      }
+    }
+    for (i = atom->nfirst-1; i >= 0; i--) {
+      n = type[i];
+      ibin = coord2bin(x[i], n);
+      atom2bin_multi2[n][i] = ibin;
+      bins_multi2[n][i] = binhead_multi2[n][ibin];
+      binhead_multi2[n][ibin] = i;
+    }
+  } else {
+    for (i = nall-1; i >= 0; i--) {
+      n = type[i];
+      ibin = coord2bin(x[i], n);
+      atom2bin_multi2[n][i] = ibin;
+      bins_multi2[n][i] = binhead_multi2[n][ibin];
+      binhead_multi2[n][ibin] = i;
+    }
+  }
+}
+
+/* ----------------------------------------------------------------------
+   convert atom coords into local bin # for a particular type
+   for orthogonal, only ghost atoms will have coord >= bboxhi or coord < bboxlo
+     take special care to insure ghosts are in correct bins even w/ roundoff
+     hi ghost atoms = nbin,nbin+1,etc
+     owned atoms = 0 to nbin-1
+     lo ghost atoms = -1,-2,etc
+     this is necessary so that both procs on either side of PBC
+       treat a pair of atoms straddling the PBC in a consistent way
+   for triclinic, doesn't matter since stencil & neigh list built differently
+------------------------------------------------------------------------- */
+
+int NBinMulti2::coord2bin(double *x, int it)
+{
+  int ix,iy,iz;
+  int ibin;
+
+  if (!std::isfinite(x[0]) || !std::isfinite(x[1]) || !std::isfinite(x[2]))
+    error->one(FLERR,"Non-numeric positions - simulation unstable");
+
+  if (x[0] >= bboxhi[0])
+    ix = static_cast<int> ((x[0]-bboxhi[0])*bininvx_multi2[it]) + nbinx_multi2[it];
+  else if (x[0] >= bboxlo[0]) {
+    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx_multi2[it]);
+    ix = MIN(ix,nbinx_multi2[it]-1);
+  } else
+    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx_multi2[it]) - 1;
+
+  if (x[1] >= bboxhi[1])
+    iy = static_cast<int> ((x[1]-bboxhi[1])*bininvy_multi2[it]) + nbiny_multi2[it];
+  else if (x[1] >= bboxlo[1]) {
+    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy_multi2[it]);
+    iy = MIN(iy,nbiny_multi2[it]-1);
+  } else
+    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy_multi2[it]) - 1;
+
+  if (x[2] >= bboxhi[2])
+    iz = static_cast<int> ((x[2]-bboxhi[2])*bininvz_multi2[it]) + nbinz_multi2[it];
+  else if (x[2] >= bboxlo[2]) {
+    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz_multi2[it]);
+    iz = MIN(iz,nbinz_multi2[it]-1);
+  } else
+    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz_multi2[it]) - 1;
+
+  
+  ibin = (iz-mbinzlo_multi2[it])*mbiny_multi2[it]*mbinx_multi2[it]
+       + (iy-mbinylo_multi2[it])*mbinx_multi2[it]
+       + (ix-mbinxlo_multi2[it]);
+  return ibin;
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+double NBinMulti2::memory_usage()
+{
+  double bytes = 0;
+  
+  for (int m = 1; m < maxtypes; m++) {
+    bytes += maxbins_multi2[m]*sizeof(int);
+    bytes += 2*maxatom*sizeof(int);
+  }
+  return bytes;
+}
diff --git a/src/nbin_multi_tiered.h b/src/nbin_multi2.h
similarity index 75%
rename from src/nbin_multi_tiered.h
rename to src/nbin_multi2.h
index ad2b95ef4b..8cca7b1023 100644
--- a/src/nbin_multi_tiered.h
+++ b/src/nbin_multi2.h
@@ -13,36 +13,32 @@
 
 #ifdef NBIN_CLASS
 
-NBinStyle(bytype,
-          NBinBytype,
-          NB_BYTYPE)
+NBinStyle(multi2,
+          NBinMulti2,
+          NB_MULTI2)
 
 #else
 
-#ifndef LMP_NBIN_BYTYPE_H
-#define LMP_NBIN_BYTYPE_H
+#ifndef LMP_NBIN_MULTI2_H
+#define LMP_NBIN_MULTI2_H
 
 #include "nbin.h"
 
 namespace LAMMPS_NS {
 
-class NBinBytype : public NBin {
+class NBinMulti2 : public NBin {
  public:
 
-  NBinBytype(class LAMMPS *);
-  ~NBinBytype();
+  NBinMulti2(class LAMMPS *);
+  ~NBinMulti2() {}
   void bin_atoms_setup(int);
   void setup_bins(int);
-  void bin_atoms();  
-
-  int coord2bin(double *x, int itype);
-  bigint memory_usage();
+  void bin_atoms();
+  double memory_usage();
 
  private:
-  int maxtypes;
-  int * maxbins_type;
 
-  void setup_types();
+  int coord2bin(double *, int);
   int itype_min();
 };
 
diff --git a/src/nbin_multi_tiered.cpp b/src/nbin_multi_tiered.cpp
deleted file mode 100644
index 70732a4b97..0000000000
--- a/src/nbin_multi_tiered.cpp
+++ /dev/null
@@ -1,464 +0,0 @@
-/* ----------------------------------------------------------------------
-   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
-   http://lammps.sandia.gov, Sandia National Laboratories
-   Steve Plimpton, sjplimp@sandia.gov
-
-   Copyright (2003) Sandia Corporation.  Under the terms of Contract
-   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
-   certain rights in this software.  This software is distributed under
-   the GNU General Public License.
-
-   See the README file in the top-level LAMMPS directory.
-------------------------------------------------------------------------- */
-
-#include "nbin_bytype.h"
-#include "neighbor.h"
-#include "atom.h"
-#include "group.h"
-#include "domain.h"
-#include "comm.h"
-#include "update.h"
-#include "error.h"
-#include "memory.h"
-
-using namespace LAMMPS_NS;
-
-#define SMALL 1.0e-6
-#define CUT2BIN_RATIO 100
-
-/* ---------------------------------------------------------------------- */
-
-NBinBytype::NBinBytype(LAMMPS *lmp) : NBin(lmp) {
-
-  nbinx_type = NULL; nbiny_type = NULL; nbinz_type = NULL;
-  mbins_type = NULL;
-  mbinx_type = NULL; mbiny_type = NULL, mbinz_type = NULL;
-  mbinxlo_type = NULL;
-  mbinylo_type = NULL;
-  mbinzlo_type = NULL;
-  binsizex_type = NULL; binsizey_type = NULL; binsizez_type = NULL;
-  bininvx_type = NULL; bininvy_type = NULL; bininvz_type = NULL;
-  binhead_type = NULL;
-  bins_type = NULL;
-  atom2bin_type = NULL;
-  maxtypes = 0;
-  maxbins_type = NULL;
-}
-
-NBinBytype::~NBinBytype() {
-
-  memory->destroy(nbinx_type);
-  memory->destroy(nbiny_type);
-  memory->destroy(nbinz_type);
-  memory->destroy(mbins_type);
-  memory->destroy(mbinx_type);
-  memory->destroy(mbiny_type);
-  memory->destroy(mbinz_type);
-  memory->destroy(mbinxlo_type);
-  memory->destroy(mbinylo_type);
-  memory->destroy(mbinzlo_type);
-
-  memory->destroy(binsizex_type);
-  memory->destroy(binsizey_type);
-  memory->destroy(binsizez_type);
-  memory->destroy(bininvx_type);
-  memory->destroy(bininvy_type);
-  memory->destroy(bininvz_type);
-
-  for (int n = 1; n <= maxtypes; n++) {
-    memory->destroy(binhead_type[n]);
-    memory->destroy(bins_type[n]);
-    memory->destroy(atom2bin_type[n]);
-  }
-  delete [] binhead_type;
-  delete [] bins_type;
-  delete [] atom2bin_type;
-
-  memory->destroy(maxbins_type);
-}
-
-/* ----------------------------------------------------------------------
-   arrange storage for types
-   allows ntypes to change, but not currently expected after initialisation
-   ------------------------------------------------------------------------- */
-
-void NBinBytype::setup_types() {
-
-  int n;
-
-  if (atom->ntypes > maxtypes) {
-
-    // Clear any/all memory for existing types
-
-    for (n = 1; n <= maxtypes; n++) {
-      memory->destroy(atom2bin_type[n]);
-      memory->destroy(binhead_type[n]);
-      memory->destroy(bins_type[n]);
-    }
-    delete [] atom2bin_type;
-    delete [] binhead_type;
-    delete [] bins_type;
-
-    // Realloacte at updated maxtypes
-
-    maxtypes = atom->ntypes;
-
-    atom2bin_type = new int*[maxtypes+1]();
-    binhead_type = new int*[maxtypes+1]();
-    bins_type = new int*[maxtypes+1]();
-
-    memory->destroy(nbinx_type);
-    memory->destroy(nbiny_type);
-    memory->destroy(nbinz_type);
-    memory->create(nbinx_type, maxtypes+1, "nBinType:nbinx_type");
-    memory->create(nbiny_type, maxtypes+1, "nBinType:nbiny_type");
-    memory->create(nbinz_type, maxtypes+1, "nBinType:nbinz_type");
-
-    memory->destroy(mbins_type);
-    memory->destroy(mbinx_type);
-    memory->destroy(mbiny_type);
-    memory->destroy(mbinz_type);
-    memory->create(mbins_type, maxtypes+1, "nBinType:mbins_type");
-    memory->create(mbinx_type, maxtypes+1, "nBinType:mbinx_type");
-    memory->create(mbiny_type, maxtypes+1, "nBinType:mbiny_type");
-    memory->create(mbinz_type, maxtypes+1, "nBinType:mbinz_type");
-
-    memory->destroy(mbinxlo_type);
-    memory->destroy(mbinylo_type);
-    memory->destroy(mbinzlo_type);
-    memory->create(mbinxlo_type, maxtypes+1, "nBinType:mbinxlo_type");
-    memory->create(mbinylo_type, maxtypes+1, "nBinType:mbinylo_type");
-    memory->create(mbinzlo_type, maxtypes+1, "nBinType:mbinzlo_type");
-
-    memory->destroy(binsizex_type);
-    memory->destroy(binsizey_type);
-    memory->destroy(binsizez_type);
-    memory->create(binsizex_type, maxtypes+1, "nBinType:binsizex_type");
-    memory->create(binsizey_type, maxtypes+1, "nBinType:binsizey_type");
-    memory->create(binsizez_type, maxtypes+1, "nBinType:binsizez_type");
-
-    memory->destroy(bininvx_type);
-    memory->destroy(bininvy_type);
-    memory->destroy(bininvz_type);
-    memory->create(bininvx_type, maxtypes+1, "nBinType:bininvx_type");
-    memory->create(bininvy_type, maxtypes+1, "nBinType:bininvy_type");
-    memory->create(bininvz_type, maxtypes+1, "nBinType:bininvz_type");
-
-    memory->destroy(maxbins_type);
-    memory->create(maxbins_type, maxtypes+1, "nBinType:maxbins_type");
-    // make sure reallocation occurs in bin_atoms_setup()
-    for (n = 1; n <= maxtypes; n++) {
-      maxbins_type[n] = 0;
-    }
-    maxatom = 0;
-  }
-
-}
-
-/* ---------------------------------------------------------------------
-   identify index of type with smallest cutoff
-   --------------------------------------------------------------------- */
-
-int NBinBytype::itype_min() {
-
-  int itypemin = 1;
-  double ** cutneighsq;
-
-  cutneighsq = neighbor->cutneighsq;
-
-  for (int n = 1; n <= atom->ntypes; n++) {
-    if (cutneighsq[n][n] < cutneighsq[itypemin][itypemin]) {
-      itypemin = n;
-    }
-  }
-
-  return itypemin;
-}
-
-/* ----------------------------------------------------------------------
-   setup neighbor binning geometry
-   ---------------------------------------------------------------------- */
-
-void NBinBytype::setup_bins(int style)
-{
-  int n;
-  int itypemin;
-
-  setup_types();
-  itypemin = itype_min();
-
-  // bbox = size of bbox of entire domain
-  // bsubbox lo/hi = bounding box of my subdomain extended by comm->cutghost
-  // for triclinic:
-  //   bbox bounds all 8 corners of tilted box
-  //   subdomain is in lamda coords
-  //   include dimension-dependent extension via comm->cutghost
-  //   domain->bbox() converts lamda extent to box coords and computes bbox
-
-  double bbox[3],bsubboxlo[3],bsubboxhi[3];
-  double *cutghost = comm->cutghost;
-
-  if (triclinic == 0) {
-    bsubboxlo[0] = domain->sublo[0] - cutghost[0];
-    bsubboxlo[1] = domain->sublo[1] - cutghost[1];
-    bsubboxlo[2] = domain->sublo[2] - cutghost[2];
-    bsubboxhi[0] = domain->subhi[0] + cutghost[0];
-    bsubboxhi[1] = domain->subhi[1] + cutghost[1];
-    bsubboxhi[2] = domain->subhi[2] + cutghost[2];
-  } else {
-    double lo[3],hi[3];
-    lo[0] = domain->sublo_lamda[0] - cutghost[0];
-    lo[1] = domain->sublo_lamda[1] - cutghost[1];
-    lo[2] = domain->sublo_lamda[2] - cutghost[2];
-    hi[0] = domain->subhi_lamda[0] + cutghost[0];
-    hi[1] = domain->subhi_lamda[1] + cutghost[1];
-    hi[2] = domain->subhi_lamda[2] + cutghost[2];
-    domain->bbox(lo,hi,bsubboxlo,bsubboxhi);
-  }
-
-  bbox[0] = bboxhi[0] - bboxlo[0];
-  bbox[1] = bboxhi[1] - bboxlo[1];
-  bbox[2] = bboxhi[2] - bboxlo[2];
-
-  // For each type...
-
-  for (n = 1; n <= atom->ntypes; n++) {
-    // binsize_user only relates to smallest type
-    // optimal bin size is roughly 1/2 the type-type cutoff
-    // special case of all cutoffs = 0.0, binsize = box size
-
-    double binsize_optimal;
-    if (n == itypemin && binsizeflag) binsize_optimal = binsize_user;
-    else binsize_optimal = 0.5*sqrt(neighbor->cutneighsq[n][n]);
-    if (binsize_optimal == 0.0) binsize_optimal = bbox[0];
-    double binsizeinv = 1.0/binsize_optimal;
-
-    // test for too many global bins in any dimension due to huge global domain
-
-    if (bbox[0]*binsizeinv > MAXSMALLINT || bbox[1]*binsizeinv > MAXSMALLINT ||
-	    bbox[2]*binsizeinv > MAXSMALLINT)
-      error->all(FLERR,"Domain too large for neighbor bins");
-
-    // create actual bins
-    // always have one bin even if cutoff > bbox
-    // for 2d, nbinz_type[n] = 1
-
-    nbinx_type[n] = static_cast<int> (bbox[0]*binsizeinv);
-    nbiny_type[n] = static_cast<int> (bbox[1]*binsizeinv);
-    if (dimension == 3) nbinz_type[n] = static_cast<int> (bbox[2]*binsizeinv);
-    else nbinz_type[n] = 1;
-
-    if (nbinx_type[n] == 0) nbinx_type[n] = 1;
-    if (nbiny_type[n] == 0) nbiny_type[n] = 1;
-    if (nbinz_type[n] == 0) nbinz_type[n] = 1;
-
-    // compute actual bin size for nbins to fit into box exactly
-    // error if actual bin size << cutoff, since will create a zillion bins
-    // this happens when nbin = 1 and box size << cutoff
-    // typically due to non-periodic, flat system in a particular dim
-    // in that extreme case, should use NSQ not BIN neighbor style
-
-    binsizex_type[n] = bbox[0]/nbinx_type[n];
-    binsizey_type[n] = bbox[1]/nbiny_type[n];
-    binsizez_type[n] = bbox[2]/nbinz_type[n];
-
-    bininvx_type[n] = 1.0 / binsizex_type[n];
-    bininvy_type[n] = 1.0 / binsizey_type[n];
-    bininvz_type[n] = 1.0 / binsizez_type[n];
-
-    if (binsize_optimal*bininvx_type[n] > CUT2BIN_RATIO ||
-	    binsize_optimal*bininvy_type[n] > CUT2BIN_RATIO ||
-	    binsize_optimal*bininvz_type[n] > CUT2BIN_RATIO)
-      error->all(FLERR,"Cannot use neighbor bins - box size << cutoff");
-
-    // mbinlo/hi = lowest and highest global bins my ghost atoms could be in
-    // coord = lowest and highest values of coords for my ghost atoms
-    // static_cast(-1.5) = -1, so subract additional -1
-    // add in SMALL for round-off safety
-
-    int mbinxhi,mbinyhi,mbinzhi;
-    double coord;
-
-    coord = bsubboxlo[0] - SMALL*bbox[0];
-    mbinxlo_type[n] = static_cast<int> ((coord-bboxlo[0])*bininvx_type[n]);
-    if (coord < bboxlo[0]) mbinxlo_type[n] = mbinxlo_type[n] - 1;
-    coord = bsubboxhi[0] + SMALL*bbox[0];
-    mbinxhi = static_cast<int> ((coord-bboxlo[0])*bininvx_type[n]);
-
-    coord = bsubboxlo[1] - SMALL*bbox[1];
-    mbinylo_type[n] = static_cast<int> ((coord-bboxlo[1])*bininvy_type[n]);
-    if (coord < bboxlo[1]) mbinylo_type[n] = mbinylo_type[n] - 1;
-    coord = bsubboxhi[1] + SMALL*bbox[1];
-    mbinyhi = static_cast<int> ((coord-bboxlo[1])*bininvy_type[n]);
-
-    if (dimension == 3) {
-      coord = bsubboxlo[2] - SMALL*bbox[2];
-      mbinzlo_type[n] = static_cast<int> ((coord-bboxlo[2])*bininvz_type[n]);
-      if (coord < bboxlo[2]) mbinzlo_type[n] = mbinzlo_type[n] - 1;
-      coord = bsubboxhi[2] + SMALL*bbox[2];
-      mbinzhi = static_cast<int> ((coord-bboxlo[2])*bininvz_type[n]);
-    }
-
-    // extend bins by 1 to insure stencil extent is included
-    // for 2d, only 1 bin in z
-
-    mbinxlo_type[n] = mbinxlo_type[n] - 1;
-    mbinxhi = mbinxhi + 1;
-    mbinx_type[n] = mbinxhi - mbinxlo_type[n] + 1;
-
-    mbinylo_type[n] = mbinylo_type[n] - 1;
-    mbinyhi = mbinyhi + 1;
-    mbiny_type[n] = mbinyhi - mbinylo_type[n] + 1;
-
-    if (dimension == 3) {
-      mbinzlo_type[n] = mbinzlo_type[n] - 1;
-      mbinzhi = mbinzhi + 1;
-    } else mbinzlo_type[n] = mbinzhi = 0;
-    mbinz_type[n] = mbinzhi - mbinzlo_type[n] + 1;
-
-    bigint bbin = ((bigint) mbinx_type[n]) 
-      * ((bigint) mbiny_type[n]) * ((bigint) mbinz_type[n]) + 1;
-    if (bbin > MAXSMALLINT) error->one(FLERR,"Too many neighbor bins");
-    mbins_type[n] = bbin;
-  }
-
-}
-
-/* ----------------------------------------------------------------------
-   bin owned and ghost atoms by type
-------------------------------------------------------------------------- */
-
-void NBinBytype::bin_atoms()
-{
-  int i,ibin,n;
-
-  last_bin = update->ntimestep;
-  for (n = 1; n <= maxtypes; n++) {
-    for (i = 0; i < mbins_type[n]; i++) binhead_type[n][i] = -1;
-  }
-
-  // bin in reverse order so linked list will be in forward order
-  // also puts ghost atoms at end of list, which is necessary
-
-  double **x = atom->x;
-  int *mask = atom->mask;
-  int *type = atom->type;
-  int nlocal = atom->nlocal;
-  int nall = nlocal + atom->nghost;
-
-  if (includegroup) {
-    int bitmask = group->bitmask[includegroup];
-    for (i = nall-1; i >= nlocal; i--) {
-      if (mask[i] & bitmask) {
-        n = type[i];
-        ibin = coord2bin(x[i], n);
-        atom2bin_type[n][i] = ibin;
-        bins_type[n][i] = binhead_type[n][ibin];
-        binhead_type[n][ibin] = i;
-      }
-    }
-    for (i = atom->nfirst-1; i >= 0; i--) {
-      n = type[i];
-      ibin = coord2bin(x[i], n);
-      atom2bin_type[n][i] = ibin;
-      bins_type[n][i] = binhead_type[n][ibin];
-      binhead_type[n][ibin] = i;
-    }
-  } else {
-    for (i = nall-1; i >= 0; i--) {
-      n = type[i];
-      ibin = coord2bin(x[i], n);
-      atom2bin_type[n][i] = ibin;
-      bins_type[n][i] = binhead_type[n][ibin];
-      binhead_type[n][ibin] = i;
-    }
-  }
-}
-
-
-/* ----------------------------------------------------------------------
-   allocate/reallocate vectors
-------------------------------------------------------------------------- */
-
-void NBinBytype::bin_atoms_setup(int nall) {
-
-  // all atom2bin, bins must be of length nall
-  if (nall > maxatom) {
-    for (int n = 1; n <= maxtypes; n++) {
-      memory->destroy(bins_type[n]);
-      memory->destroy(atom2bin_type[n]);
-      memory->create(bins_type[n], nall, "NBinBytype:bin_type");
-      memory->create(atom2bin_type[n], nall, "NBinBytype:atom2bin_type");
-    }
-    maxatom = nall;
-  }
-
-  for (int n = 1; n <= maxtypes; n++) {
-    if (mbins_type[n] > maxbins_type[n]) {
-      maxbins_type[n] = mbins_type[n];
-      memory->destroy(binhead_type[n]);
-      memory->create(binhead_type[n], mbins_type[n], "NBinBytype:mbins_type");
-    }
-  }
-
-}
-
-
-/* ----------------------------------------------------------------------
-   convert atom coords into local bin # for bin type it
-------------------------------------------------------------------------- */
-
-int NBinBytype::coord2bin(double *x, int it)
-{
-  int ix,iy,iz;
-  int ibin;
-
-  if (!std::isfinite(x[0]) || !std::isfinite(x[1]) || !std::isfinite(x[2]))
-    error->one(FLERR,"Non-numeric positions - simulation unstable");
-
-  if (x[0] >= bboxhi[0])
-    ix = static_cast<int> ((x[0]-bboxhi[0])*bininvx_type[it]) + nbinx_type[it];
-  else if (x[0] >= bboxlo[0]) {
-    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx_type[it]);
-    ix = MIN(ix,nbinx_type[it]-1);
-  } else
-    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx_type[it]) - 1;
-
-  if (x[1] >= bboxhi[1])
-    iy = static_cast<int> ((x[1]-bboxhi[1])*bininvy_type[it]) + nbiny_type[it];
-  else if (x[1] >= bboxlo[1]) {
-    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy_type[it]);
-    iy = MIN(iy,nbiny_type[it]-1);
-  } else
-    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy_type[it]) - 1;
-
-  if (x[2] >= bboxhi[2])
-    iz = static_cast<int> ((x[2]-bboxhi[2])*bininvz_type[it]) + nbinz_type[it];
-  else if (x[2] >= bboxlo[2]) {
-    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz_type[it]);
-    iz = MIN(iz,nbinz_type[it]-1);
-  } else
-    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz_type[it]) - 1;
-
-  
-  ibin = (iz-mbinzlo_type[it])*mbiny_type[it]*mbinx_type[it]
-       + (iy-mbinylo_type[it])*mbinx_type[it]
-       + (ix-mbinxlo_type[it]);
-  return ibin;
-}
-
-
-/* ----------------------------------------------------------------------
-   tot up for types
-   ---------------------------------------------------------------------- */
-
-bigint NBinBytype::memory_usage()
-{
-  bigint bytes = 0;
-
-  for (int m = 1; m < maxtypes; m++) {
-    bytes += 2*maxatom*sizeof(int);
-    bytes += maxbins_type[m]*sizeof(int);
-  }
-  return bytes;
-}
diff --git a/src/nbin_standard.cpp b/src/nbin_standard.cpp
index 9a28121384..e63c8dcd56 100644
--- a/src/nbin_standard.cpp
+++ b/src/nbin_standard.cpp
@@ -29,6 +29,33 @@ using namespace LAMMPS_NS;
 
 NBinStandard::NBinStandard(LAMMPS *lmp) : NBin(lmp) {}
 
+/* ----------------------------------------------------------------------
+   setup for bin_atoms()
+------------------------------------------------------------------------- */
+
+void NBinStandard::bin_atoms_setup(int nall)
+{
+  // binhead = per-bin vector, mbins in length
+  // add 1 bin for USER-INTEL package
+
+  if (mbins > maxbin) {
+    maxbin = mbins;
+    memory->destroy(binhead);
+    memory->create(binhead,maxbin,"neigh:binhead");
+  }
+
+  // bins and atom2bin = per-atom vectors
+  // for both local and ghost atoms
+
+  if (nall > maxatom) {
+    maxatom = nall;
+    memory->destroy(bins);
+    memory->create(bins,maxatom,"neigh:bins");
+    memory->destroy(atom2bin);
+    memory->create(atom2bin,maxatom,"neigh:atom2bin");
+  }
+}
+
 /* ----------------------------------------------------------------------
    setup neighbor binning geometry
    bin numbering in each dimension is global:
@@ -230,3 +257,61 @@ void NBinStandard::bin_atoms()
     }
   }
 }
+
+
+/* ----------------------------------------------------------------------
+   convert atom coords into local bin #
+   for orthogonal, only ghost atoms will have coord >= bboxhi or coord < bboxlo
+     take special care to insure ghosts are in correct bins even w/ roundoff
+     hi ghost atoms = nbin,nbin+1,etc
+     owned atoms = 0 to nbin-1
+     lo ghost atoms = -1,-2,etc
+     this is necessary so that both procs on either side of PBC
+       treat a pair of atoms straddling the PBC in a consistent way
+   for triclinic, doesn't matter since stencil & neigh list built differently
+------------------------------------------------------------------------- */
+
+int NBinStandard::coord2bin(double *x)
+{
+  int ix,iy,iz;
+
+  if (!std::isfinite(x[0]) || !std::isfinite(x[1]) || !std::isfinite(x[2]))
+    error->one(FLERR,"Non-numeric positions - simulation unstable");
+
+  if (x[0] >= bboxhi[0])
+    ix = static_cast<int> ((x[0]-bboxhi[0])*bininvx) + nbinx;
+  else if (x[0] >= bboxlo[0]) {
+    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx);
+    ix = MIN(ix,nbinx-1);
+  } else
+    ix = static_cast<int> ((x[0]-bboxlo[0])*bininvx) - 1;
+
+  if (x[1] >= bboxhi[1])
+    iy = static_cast<int> ((x[1]-bboxhi[1])*bininvy) + nbiny;
+  else if (x[1] >= bboxlo[1]) {
+    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy);
+    iy = MIN(iy,nbiny-1);
+  } else
+    iy = static_cast<int> ((x[1]-bboxlo[1])*bininvy) - 1;
+
+  if (x[2] >= bboxhi[2])
+    iz = static_cast<int> ((x[2]-bboxhi[2])*bininvz) + nbinz;
+  else if (x[2] >= bboxlo[2]) {
+    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz);
+    iz = MIN(iz,nbinz-1);
+  } else
+    iz = static_cast<int> ((x[2]-bboxlo[2])*bininvz) - 1;
+
+  return (iz-mbinzlo)*mbiny*mbinx + (iy-mbinylo)*mbinx + (ix-mbinxlo);
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+double NBinStandard::memory_usage()
+{
+  double bytes = 0;
+  bytes += maxbin*sizeof(int);
+  bytes += 2*maxatom*sizeof(int);
+  return bytes;
+}
diff --git a/src/nbin_standard.h b/src/nbin_standard.h
index 06defdb101..d8ecb435b7 100644
--- a/src/nbin_standard.h
+++ b/src/nbin_standard.h
@@ -30,8 +30,14 @@ class NBinStandard : public NBin {
  public:
   NBinStandard(class LAMMPS *);
   ~NBinStandard() {}
+  void bin_atoms_setup(int);  
   void setup_bins(int);
   void bin_atoms();
+  double memory_usage();
+  
+ private:
+
+  int coord2bin(double *);
 };
 
 }
diff --git a/src/neighbor.cpp b/src/neighbor.cpp
index 740b16b66e..d4a2727662 100644
--- a/src/neighbor.cpp
+++ b/src/neighbor.cpp
@@ -1620,12 +1620,12 @@ int Neighbor::choose_bin(NeighRequest *rq)
     if (!rq->kokkos_device != !(mask & NB_KOKKOS_DEVICE)) continue;
     if (!rq->kokkos_host != !(mask & NB_KOKKOS_HOST)) continue;
 
-    // neighbor style is BIN or MULTI or MULTI/TIERED and must match
+    // neighbor style is BIN or MULTI or MULTI2 and must match
 
     if (style == Neighbor::BIN || style == Neighbor::MULTI) {
       if (!(mask & NB_STANDARD)) continue;
-    } else if (style == Neighbor::MULTI_TIERED) {
-      if (!(mask & NB_MULTI_TIERED)) continue;
+    } else if (style == Neighbor::MULTI2) {
+      if (!(mask & NB_MULTI2)) continue;
     }
 
     return i+1;
@@ -1698,14 +1698,14 @@ int Neighbor::choose_stencil(NeighRequest *rq)
     if (!rq->ghost != !(mask & NS_GHOST)) continue;
     if (!rq->ssa != !(mask & NS_SSA)) continue;
 
-    // neighbor style is one of BIN, MULTI, or MULT/TIERED and must match
+    // neighbor style is one of BIN, MULTI, or MULTI2 and must match
 
     if (style == Neighbor::BIN) {
       if (!(mask & NS_BIN)) continue;
     } else if (style == Neighbor::MULTI) {
       if (!(mask & NS_MULTI)) continue;
-    } else if (style == Neighbor::MULT_TIERED) {
-      if (!(mask & NS_MULT_TIERED)) continue;
+    } else if (style == Neighbor::MULTI2) {
+      if (!(mask & NS_MULTI2)) continue;
     }
 
     // dimension is 2 or 3 and must match
@@ -1835,7 +1835,7 @@ int Neighbor::choose_pair(NeighRequest *rq)
     if (!rq->halffull != !(mask & NP_HALF_FULL)) continue;
     if (!rq->off2on != !(mask & NP_OFF2ON)) continue;
 
-    // neighbor style is one of NSQ, BIN, MULTI, or MULTI/TIERED and must match
+    // neighbor style is one of NSQ, BIN, MULTI, or MULTI2 and must match
 
     if (style == Neighbor::NSQ) {
       if (!(mask & NP_NSQ)) continue;
@@ -1843,8 +1843,8 @@ int Neighbor::choose_pair(NeighRequest *rq)
       if (!(mask & NP_BIN)) continue;
     } else if (style == Neighbor::MULTI) {
       if (!(mask & NP_MULTI)) continue;
-    } else if (style == Neighbor::MULT_TIERED) {
-      if (!(mask & NP_MULT_TIERED)) continue;
+    } else if (style == Neighbor::MULTI2) {
+      if (!(mask & NP_MULTI2)) continue;
     }
 
     // domain triclinic flag is on or off and must match
@@ -2211,7 +2211,7 @@ void Neighbor::set(int narg, char **arg)
   if (strcmp(arg[1],"nsq") == 0) style = Neighbor::NSQ;
   else if (strcmp(arg[1],"bin") == 0) style = Neighbor::BIN;
   else if (strcmp(arg[1],"multi") == 0) style = Neighbor::MULTI;
-  else if (strcmp(arg[1],"multi/tiered") == 0) style = Neighbor::MULT_TIERED;
+  else if (strcmp(arg[1],"multi2") == 0) style = Neighbor::MULTI2;
   else error->all(FLERR,"Illegal neighbor command");
 
   if (style == Neighbor::MULTI && lmp->citeme) lmp->citeme->add(cite_neigh_multi);
diff --git a/src/neighbor.h b/src/neighbor.h
index fd8cc49067..0012cb29fa 100644
--- a/src/neighbor.h
+++ b/src/neighbor.h
@@ -20,7 +20,7 @@ namespace LAMMPS_NS {
 
 class Neighbor : protected Pointers {
  public:
-  enum{NSQ,BIN,MULTI,MULTI_TIERED};
+  enum{NSQ,BIN,MULTI,MULTI2};
   int style;                       // 0,1,2 = nsq, bin, multi
   int every;                       // build every this many steps
   int delay;                       // delay build for this many steps
@@ -239,7 +239,7 @@ namespace NeighConst {
   static const int NB_KOKKOS_DEVICE = 1<<1;
   static const int NB_KOKKOS_HOST   = 1<<2;
   static const int NB_SSA           = 1<<3;
-  static const int NB_MULTI_TIERED  = 1<<4; 
+  static const int NB_MULTI2        = 1<<4; 
   static const int NB_STANDARD      = 1<<5;
 
   static const int NS_BIN           = 1<<0;
@@ -254,7 +254,7 @@ namespace NeighConst {
   static const int NS_TRI           = 1<<9;
   static const int NS_GHOST         = 1<<10;
   static const int NS_SSA           = 1<<11;
-  static const int NS_MULTI_TIERED  = 1<<12;
+  static const int NS_MULTI2        = 1<<12;
 
   static const int NP_NSQ           = 1<<0;
   static const int NP_BIN           = 1<<1;
@@ -281,7 +281,7 @@ namespace NeighConst {
   static const int NP_SKIP          = 1<<22;
   static const int NP_HALF_FULL     = 1<<23;
   static const int NP_OFF2ON        = 1<<24;
-  static const int NP_MULTI_TIERED  = 1<<25;
+  static const int NP_MULTI2        = 1<<25;
 }
 
 }
diff --git a/src/npair_half_multi_tiered_newton.cpp b/src/npair_half_multi2_newton.cpp
similarity index 100%
rename from src/npair_half_multi_tiered_newton.cpp
rename to src/npair_half_multi2_newton.cpp
diff --git a/src/npair_half_multi_tiered_newton.h b/src/npair_half_multi2_newton.h
similarity index 100%
rename from src/npair_half_multi_tiered_newton.h
rename to src/npair_half_multi2_newton.h
diff --git a/src/npair_half_multi_tiered_newton_tri.cpp b/src/npair_half_multi2_newton_tri.cpp
similarity index 100%
rename from src/npair_half_multi_tiered_newton_tri.cpp
rename to src/npair_half_multi2_newton_tri.cpp
diff --git a/src/npair_half_multi_tiered_newton_tri.h b/src/npair_half_multi2_newton_tri.h
similarity index 100%
rename from src/npair_half_multi_tiered_newton_tri.h
rename to src/npair_half_multi2_newton_tri.h
diff --git a/src/npair_half_size_multi_tiered_newtoff.cpp b/src/npair_half_size_multi2_newtoff.cpp
similarity index 100%
rename from src/npair_half_size_multi_tiered_newtoff.cpp
rename to src/npair_half_size_multi2_newtoff.cpp
diff --git a/src/npair_half_size_multi_tiered_newtoff.h b/src/npair_half_size_multi2_newtoff.h
similarity index 100%
rename from src/npair_half_size_multi_tiered_newtoff.h
rename to src/npair_half_size_multi2_newtoff.h
diff --git a/src/npair_half_size_multi_tiered_newton.cpp b/src/npair_half_size_multi2_newton.cpp
similarity index 100%
rename from src/npair_half_size_multi_tiered_newton.cpp
rename to src/npair_half_size_multi2_newton.cpp
diff --git a/src/npair_half_size_multi_tiered_newton.h b/src/npair_half_size_multi2_newton.h
similarity index 100%
rename from src/npair_half_size_multi_tiered_newton.h
rename to src/npair_half_size_multi2_newton.h
diff --git a/src/npair_half_size_multi_tiered_newton_tri.cpp b/src/npair_half_size_multi2_newton_tri.cpp
similarity index 100%
rename from src/npair_half_size_multi_tiered_newton_tri.cpp
rename to src/npair_half_size_multi2_newton_tri.cpp
diff --git a/src/npair_half_size_multi_tiered_newton_tri.h b/src/npair_half_size_multi2_newton_tri.h
similarity index 100%
rename from src/npair_half_size_multi_tiered_newton_tri.h
rename to src/npair_half_size_multi2_newton_tri.h
diff --git a/src/nstencil.cpp b/src/nstencil.cpp
index 861fcd537e..3518b7db55 100644
--- a/src/nstencil.cpp
+++ b/src/nstencil.cpp
@@ -51,6 +51,15 @@ using namespace LAMMPS_NS;
      stencil follows same rules for half/full, newton on/off, triclinic
      cutoff is not cutneighmaxsq, but max cutoff for that atom type
      no versions that allow ghost on (any need for it?)
+   for multi/tiered:
+     create one stencil for each itype-jtype pairing
+     stencils do not generally follow the same rules for half/full or newton on/off
+     whole stencils including all surrounding bins are always used except
+     for same-type stencils with newton on which uses a split stencil
+     for orthogonal boxes, a split stencil includes bins to the "upper right" of central bin 
+     for triclinic, a split stencil includes bins in the z (3D) or y (2D) plane of self and above
+     cutoff is not cutneighmaxsq, but max cutoff for that atom type
+     no versions that allow ghost on (any need for it?)
 ------------------------------------------------------------------------- */
 
 NStencil::NStencil(LAMMPS *lmp) : Pointers(lmp)
@@ -64,6 +73,11 @@ NStencil::NStencil(LAMMPS *lmp) : Pointers(lmp)
   nstencil_multi = nullptr;
   stencil_multi = nullptr;
   distsq_multi = nullptr;
+  
+  stencil_split = nullptr;
+  stencil_skip = nullptr;
+  stencil_bin_type = nullptr;
+  stencil_cut = nullptr;
 
   dimension = domain->dimension;
 }
@@ -75,16 +89,44 @@ NStencil::~NStencil()
   memory->destroy(stencil);
   memory->destroy(stencilxyz);
 
-  if (!stencil_multi) return;
+  if (stencil_multi) {
 
-  int n = atom->ntypes;
-  for (int i = 1; i <= n; i++) {
-    memory->destroy(stencil_multi[i]);
-    memory->destroy(distsq_multi[i]);
+    int n = atom->ntypes;
+    for (int i = 1; i <= n; i++) {
+      memory->destroy(stencil_multi[i]);
+      memory->destroy(distsq_multi[i]);
+    }
+    delete [] nstencil_multi;
+    delete [] stencil_multi;
+    delete [] distsq_multi;
+  }
+  
+  if (stencil_multi_tiered) {
+      
+    int n = atom->ntypes;      
+    memory->destroy(nstencil_multi_tiered);
+    for (int i = 1; i <= n; i++) {
+      for (int j = 0; j <= n; j++) {
+        if (! stencil_skip[i][j]) 
+            memory->destroy(stencil_multi_tiered[i][j]);
+      }
+      delete [] stencil_multi_tiered[i];
+    }
+    delete [] stencil_multi_tiered;
+    memory->destroy(maxstencil_multi_tiered);
+    memory->destroy(stencil_split);
+    memory->destroy(stencil_skip);
+    memory->destroy(stencil_bin_type);
+    memory->destroy(stencil_cut);
+    
+    memory->destroy(sx_multi_tiered);
+    memory->destroy(sy_multi_tiered);
+    memory->destroy(sz_multi_tiered);
+    
+    memory->destroy(binsizex_multi_tiered);
+    memory->destroy(binsizey_multi_tiered);
+    memory->destroy(binsizez_multi_tiered);
   }
-  delete [] nstencil_multi;
-  delete [] stencil_multi;
-  delete [] distsq_multi;
 }
 
 /* ---------------------------------------------------------------------- */
@@ -105,6 +147,7 @@ void NStencil::copy_neighbor_info()
   cutneighmax = neighbor->cutneighmax;
   cutneighmaxsq = neighbor->cutneighmaxsq;
   cuttypesq = neighbor->cuttypesq;
+  cutneighsq = neighbor->cutneighsq;
 
   // overwrite Neighbor cutoff with custom value set by requestor
   // only works for style = BIN (checked by Neighbor class)
@@ -132,6 +175,23 @@ void NStencil::copy_bin_info()
   bininvz = nb->bininvz;
 }
 
+/* ----------------------------------------------------------------------
+   copy needed info for a given type from NBin class to this stencil class
+------------------------------------------------------------------------- */
+
+void NStencil::copy_bin_info_multi_tiered(int type)
+{
+  mbinx = nb->mbinx_tiered[type];
+  mbiny = nb->mbiny_tiered[type];
+  mbinz = nb->mbinz_tiered[type];
+  binsizex = nb->binsizex_tiered[type];
+  binsizey = nb->binsizey_tiered[type];
+  binsizez = nb->binsizez_tiered[type];
+  bininvx = nb->bininvx_tiered[type];
+  bininvy = nb->bininvy_tiered[type];
+  bininvz = nb->bininvz_tiered[type];
+}
+
 /* ----------------------------------------------------------------------
    insure NBin data is current
    insure stencils are allocated large enough
@@ -139,59 +199,131 @@ void NStencil::copy_bin_info()
 
 void NStencil::create_setup()
 {
-  if (nb) copy_bin_info();
-  last_stencil = update->ntimestep;
-
-  // sx,sy,sz = max range of stencil in each dim
-  // smax = max possible size of entire 3d stencil
-  // stencil will be empty if cutneighmax = 0.0
-
-  sx = static_cast<int> (cutneighmax*bininvx);
-  if (sx*binsizex < cutneighmax) sx++;
-  sy = static_cast<int> (cutneighmax*bininvy);
-  if (sy*binsizey < cutneighmax) sy++;
-  sz = static_cast<int> (cutneighmax*bininvz);
-  if (sz*binsizez < cutneighmax) sz++;
-  if (dimension == 2) sz = 0;
-
-  int smax = (2*sx+1) * (2*sy+1) * (2*sz+1);
-
-  // reallocate stencil structs if necessary
-  // for BIN and MULTI styles
-
-  if (neighstyle == Neighbor::BIN) {
-    if (smax > maxstencil) {
-      maxstencil = smax;
-      memory->destroy(stencil);
-      memory->create(stencil,maxstencil,"neighstencil:stencil");
-      if (xyzflag) {
-        memory->destroy(stencilxyz);
-        memory->create(stencilxyz,maxstencil,3,"neighstencil:stencilxyz");
+    
+  if (neighstyle != Neighbor::MULTI_TIERED){
+    if (nb) copy_bin_info();
+    last_stencil = update->ntimestep;
+    
+    // sx,sy,sz = max range of stencil in each dim
+    // smax = max possible size of entire 3d stencil
+    // stencil will be empty if cutneighmax = 0.0
+    
+    sx = static_cast<int> (cutneighmax*bininvx);
+    if (sx*binsizex < cutneighmax) sx++;
+    sy = static_cast<int> (cutneighmax*bininvy);
+    if (sy*binsizey < cutneighmax) sy++;
+    sz = static_cast<int> (cutneighmax*bininvz);
+    if (sz*binsizez < cutneighmax) sz++;
+    if (dimension == 2) sz = 0;
+    
+    int smax = (2*sx+1) * (2*sy+1) * (2*sz+1);
+    
+    // reallocate stencil structs if necessary
+    // for BIN and MULTI styles
+    
+    if (neighstyle == Neighbor::BIN) {
+      if (smax > maxstencil) {
+        maxstencil = smax;
+        memory->destroy(stencil);
+        memory->create(stencil,maxstencil,"neighstencil:stencil");
+        if (xyzflag) {
+          memory->destroy(stencilxyz);
+          memory->create(stencilxyz,maxstencil,3,"neighstencil:stencilxyz");
+        }
+      }
+    
+    } else {
+      int i;
+      int n = atom->ntypes;
+      if (maxstencil_multi == 0) {
+        nstencil_multi = new int[n+1];
+        stencil_multi = new int*[n+1];
+        distsq_multi = new double*[n+1];
+        for (i = 1; i <= n; i++) {
+          nstencil_multi[i] = 0;
+          stencil_multi[i] = nullptr;
+          distsq_multi[i] = nullptr;
+        }
+      }
+      if (smax > maxstencil_multi) {
+        maxstencil_multi = smax;
+        for (i = 1; i <= n; i++) {
+          memory->destroy(stencil_multi[i]);
+          memory->destroy(distsq_multi[i]);
+          memory->create(stencil_multi[i],maxstencil_multi,
+                         "neighstencil:stencil_multi");
+          memory->create(distsq_multi[i],maxstencil_multi,
+                         "neighstencil:distsq_multi");
+        }
       }
     }
-
   } else {
-    int i;
+    int i, j, bin_type, smax;
+    double stencil_range;
     int n = atom->ntypes;
-    if (maxstencil_multi == 0) {
-      nstencil_multi = new int[n+1];
-      stencil_multi = new int*[n+1];
-      distsq_multi = new double*[n+1];
-      for (i = 1; i <= n; i++) {
-        nstencil_multi[i] = 0;
-        stencil_multi[i] = nullptr;
-        distsq_multi[i] = nullptr;
-      }
-    }
-    if (smax > maxstencil_multi) {
-      maxstencil_multi = smax;
-      for (i = 1; i <= n; i++) {
-        memory->destroy(stencil_multi[i]);
-        memory->destroy(distsq_multi[i]);
-        memory->create(stencil_multi[i],maxstencil_multi,
-                       "neighstencil:stencil_multi");
-        memory->create(distsq_multi[i],maxstencil_multi,
-                       "neighstencil:distsq_multi");
+
+    // Allocate arrays to store stencil information
+    memory->create(stencil_split, n, n, 
+                   "neighstencil:stencil_split");"
+    memory->create(stencil_skip, n, n, 
+                   "neighstencil:stencil_skip");"
+    memory->create(stencil_bin_type, n, n, 
+                   "neighstencil:stencil_bin_type");"
+    memory->create(stencil_cut, n, n, 
+                   "neighstencil:stencil_cut");"
+
+    memory->create(sx_multi_tiered, n, n, 
+                   "neighstencil:sx_multi_tiered");"               
+    memory->create(sy_multi_tiered, n, n, 
+                   "neighstencil:sy_multi_tiered");"
+    memory->create(sz_multi_tiered, n, n, 
+                   "neighstencil:sz_multi_tiered");"
+
+    memory->create(binsizex_multi_tiered, n, n, 
+                   "neighstencil:binsizex_multi_tiered");"
+    memory->create(binsizey_multi_tiered, n, n, 
+                   "neighstencil:binsizey_multi_tiered");"
+    memory->create(binsizez_multi_tiered, n, n, 
+                   "neighstencil:binsizez_multi_tiered");"
+                   
+    // Determine which stencils need to be built
+    set_stencil_properties(); 
+    
+    for (i = 1; i <= n; ++i) {
+      for (j = 1; j <= n; ++j) {
+        
+        // Skip creation of unused stencils 
+        if (stencil_skip[i][j]) continue;
+           
+        // Copy bin info for this particular pair of types
+        bin_type = stencil_bin_type[i][j];
+        copy_bin_info_bytype(bin_type);
+        
+        binsizex_multi_tiered[i][j] = binsizex;
+        binsizey_multi_tiered[i][j] = binsizey;
+        binsizez_multi_tiered[i][j] = binsizez;
+        
+        stencil_range = stencil_cut[i][j];
+        
+        sx = static_cast<int> (stencil_range*bininvx);
+        if (sx*binsizex < stencil_range) sx++;
+        sy = static_cast<int> (stencil_range*bininvy);
+        if (sy*binsizey < stencil_range) sy++;
+        sz = static_cast<int> (stencil_range*bininvz);
+        if (sz*binsizez < stencil_range) sz++;
+        
+        sx_multi_tiered[i][j] = sx;
+        sy_multi_tiered[i][j] = sy;
+        sz_multi_tiered[i][j] = sz;
+
+        smax = ((2*sx+1) * (2*sy+1) * (2*sz+1));        
+        
+        if (smax > maxstencil_multi_tiered[i][j]) {
+          maxstencil_multi_tiered[i][j] = smax;
+          memory->destroy(stencil_multi_tiered[i][j]);
+          memory->create(stencil_multi_tiered[i][j], smax,
+	  	                 "neighstencil::stencil_multi_tiered");
+        }
       }
     }
   }
@@ -231,6 +363,10 @@ double NStencil::memory_usage()
   } else if (neighstyle == Neighbor::MULTI) {
     bytes += atom->ntypes*maxstencil_multi * sizeof(int);
     bytes += atom->ntypes*maxstencil_multi * sizeof(double);
+  } else if (neighstyle == Neighbor::MULTI_TIERED) {
+    bytes += atom->ntypes*maxstencil_multi * sizeof(int);
+    bytes += atom->ntypes*maxstencil_multi * sizeof(int);
+    bytes += atom->ntypes*maxstencil_multi * sizeof(double);
   }
   return bytes;
 }
diff --git a/src/nstencil.h b/src/nstencil.h
index bdd656b937..58c39ee13c 100644
--- a/src/nstencil.h
+++ b/src/nstencil.h
@@ -29,14 +29,22 @@ class NStencil : protected Pointers {
   int **stencilxyz;                // bin offsets in xyz dims
   int *nstencil_multi;             // # bins in each type-based multi stencil
   int **stencil_multi;             // list of bin offsets in each stencil
+  int ** nstencil_multi_tiered;    // # bins bins in each itype-jtype tiered multi stencil
+  int *** stencil_multi_tiered;    // list of bin offsets in each tiered multi stencil
+  int ** maxstencil_type;          // max   
   double **distsq_multi;           // sq distances to bins in each stencil
   int sx,sy,sz;                    // extent of stencil in each dim
+  int **sx_multi_tiered;           // analogs for multi tiered
+  int **sy_multi_tiered;
+  int **sz_multi_tiered;
 
-  double cutoff_custom;            // cutoff set by requestor
-
-  // BYTYPE stencils
-  int ** nstencil_type;            // No. of bins for stencil[itype][jtype]
-  int *** stencil_type;            // Stencil for [itype][jtype]
+  double cutoff_custom;            // cutoff set by requestor  
+  
+  // Arrays to store options for multi/tiered itype-jtype stencils
+  bool **stencil_half;             // flag creation of a half stencil for itype-jtype
+  bool **stencil_skip;             // skip creation of itype-jtype stencils (for newton on)  
+  int **stencil_bin_type;          // what type to use for bin information
+  double **stencil_cut;            // cutoff used for stencil size
 
   NStencil(class LAMMPS *);
   virtual ~NStencil();
@@ -57,12 +65,19 @@ class NStencil : protected Pointers {
   double cutneighmax;
   double cutneighmaxsq;
   double *cuttypesq;
+  double *cutneighsq;
 
   // data from NBin class
 
   int mbinx,mbiny,mbinz;
   double binsizex,binsizey,binsizez;
   double bininvx,bininvy,bininvz;
+  
+  // analogs for multi-tiered
+  
+  double **binsizex_multi_tiered;
+  double **binsizey_multi_tiered;
+  double **binsizez_multi_tiered;
 
   // data common to all NStencil variants
 
@@ -76,6 +91,11 @@ class NStencil : protected Pointers {
 
   void copy_bin_info();                     // copy info from NBin class
   double bin_distance(int, int, int);       // distance between bin corners
+
+  // methods for multi/tiered NStencil
+  
+  void copy_bin_info_multi_tiered(int);     // copy mult/tiered info from NBin class
+  void set_stencil_properties();            // determine which stencils to build and how 
 };
 
 }
diff --git a/src/nstencil_full_multi_tiered_3d.cpp b/src/nstencil_full_multi2_3d.cpp
similarity index 90%
rename from src/nstencil_full_multi_tiered_3d.cpp
rename to src/nstencil_full_multi2_3d.cpp
index cecccdfb14..099e2adeb8 100644
--- a/src/nstencil_full_multi_tiered_3d.cpp
+++ b/src/nstencil_full_multi2_3d.cpp
@@ -46,23 +46,9 @@ NStencilFullBytype3d::~NStencilFullBytype3d() {
   }
 }
 
-/* ---------------------------------------------------------------------- */
-
-void NStencilFullBytype3d::copy_bin_info_bytype(int itype) {
-
-  mbinx = nb->mbinx_type[itype];
-  mbiny = nb->mbiny_type[itype];
-  mbinz = nb->mbinz_type[itype];
-  binsizex = nb->binsizex_type[itype];
-  binsizey = nb->binsizey_type[itype];
-  binsizez = nb->binsizez_type[itype];
-  bininvx = nb->bininvx_type[itype];
-  bininvy = nb->bininvy_type[itype];
-  bininvz = nb->bininvz_type[itype];
-}
 
 /* ---------------------------------------------------------------------- */
-
+INCORPORTE INTO CREATE THEN DELETE, NOTE NAME OF CUTNEIGHMAX ETC
 int NStencilFullBytype3d::copy_neigh_info_bytype(int itype) {
 
   cutneighmaxsq = neighbor->cutneighsq[itype][itype];
@@ -104,13 +90,13 @@ void NStencilFullBytype3d::create_setup()
 	maxstencil_type[itype][jtype] = 0;
       }
     }
-  }
+  } MOVE TO PARENT CLASS
 
   // like -> like => use standard newtoff stencil at bin 
 
   for (itype = 1; itype <= maxtypes; ++itype) {
     copy_bin_info_bytype(itype);
-    smax = copy_neigh_info_bytype(itype);
+    smax = copy_neigh_info_bytype(itype); uses cutneighsq[itype][itype] to create s's
     if (smax > maxstencil_type[itype][itype]) {
       maxstencil_type[itype][itype] = smax;
       memory->destroy(stencil_type[itype][itype]);
@@ -127,7 +113,7 @@ void NStencilFullBytype3d::create_setup()
   for (itype = 1; itype <= maxtypes; ++itype) {
     for (jtype = 1; jtype <= maxtypes; ++jtype) {
       if (itype == jtype) continue;
-      if (cuttypesq[itype] <= cuttypesq[jtype]) {
+      if (cuttypesq[itype] <= cuttypesq[jtype]) { This does work to say which prticle is smller
 	// Potential destroy/create problem?
 	nstencil_type[itype][jtype] = nstencil_type[jtype][jtype];
 	stencil_type[itype][jtype]  = stencil_type[jtype][jtype];
@@ -136,7 +122,7 @@ void NStencilFullBytype3d::create_setup()
 	copy_bin_info_bytype(jtype);
 	// smax = copy_neigh_info_bytype(jtype);
 
-	cutneighmaxsq = cuttypesq[jtype];
+	cutneighmaxsq = cuttypesq[jtype];  Does it need to be this big? Can't I use cutneighsq[i][j]?
 	cutneighmax   = sqrt(cutneighmaxsq);
 	sx = static_cast<int> (cutneighmax*bininvx);
 	if (sx*binsizex < cutneighmax) sx++;
diff --git a/src/nstencil_full_multi_tiered_3d.h b/src/nstencil_full_multi2_3d.h
similarity index 83%
rename from src/nstencil_full_multi_tiered_3d.h
rename to src/nstencil_full_multi2_3d.h
index 6e61365d17..b9b835fd24 100644
--- a/src/nstencil_full_multi_tiered_3d.h
+++ b/src/nstencil_full_multi2_3d.h
@@ -13,15 +13,15 @@
 
 #ifdef NSTENCIL_CLASS
 
-NStencilStyle(full/bytype/3d,
-              NStencilFullBytype3d,
-              NS_FULL | NS_BYTYPE | NS_3D |
+NStencilStyle(full/multi/tiered/3d,
+              NStencilFullMultiTiered3d,
+              NS_FULL | NS_Multi_Tiered | NS_3D |
               NS_NEWTON | NS_NEWTOFF | NS_ORTHO | NS_TRI)
 
 #else
 
-#ifndef LMP_NSTENCIL_FULL_BYTYPE_3D_H
-#define LMP_NSTENCIL_FULL_BYTYPE_3D_H
+#ifndef LMP_NSTENCIL_FULL_MULTI_TIERED_3D_H
+#define LMP_NSTENCIL_FULL_MULTI_TIERED_3D_H
 
 #include "nstencil.h"
 
@@ -37,7 +37,6 @@ class NStencilFullBytype3d : public NStencil {
 private:
   int ** maxstencil_type;
 
-  void copy_bin_info_bytype(int);
   int  copy_neigh_info_bytype(int);
   void create_newtoff(int, int, double);
 
diff --git a/src/nstencil_half_multi_tiered_2d_newton.cpp b/src/nstencil_half_multi2_2d_newton.cpp
similarity index 100%
rename from src/nstencil_half_multi_tiered_2d_newton.cpp
rename to src/nstencil_half_multi2_2d_newton.cpp
diff --git a/src/nstencil_half_multi_tiered_2d_newton.h b/src/nstencil_half_multi2_2d_newton.h
similarity index 100%
rename from src/nstencil_half_multi_tiered_2d_newton.h
rename to src/nstencil_half_multi2_2d_newton.h
diff --git a/src/nstencil_half_multi_tiered_3d_newtoff.cpp b/src/nstencil_half_multi2_3d_newtoff.cpp
similarity index 100%
rename from src/nstencil_half_multi_tiered_3d_newtoff.cpp
rename to src/nstencil_half_multi2_3d_newtoff.cpp
diff --git a/src/nstencil_half_multi_tiered_3d_newtoff.h b/src/nstencil_half_multi2_3d_newtoff.h
similarity index 100%
rename from src/nstencil_half_multi_tiered_3d_newtoff.h
rename to src/nstencil_half_multi2_3d_newtoff.h
diff --git a/src/nstencil_half_multi_tiered_3d_newton.cpp b/src/nstencil_half_multi2_3d_newton.cpp
similarity index 100%
rename from src/nstencil_half_multi_tiered_3d_newton.cpp
rename to src/nstencil_half_multi2_3d_newton.cpp
diff --git a/src/nstencil_half_multi_tiered_3d_newton.h b/src/nstencil_half_multi2_3d_newton.h
similarity index 100%
rename from src/nstencil_half_multi_tiered_3d_newton.h
rename to src/nstencil_half_multi2_3d_newton.h
diff --git a/src/nstencil_half_multi_tiered_3d_newton_tri.cpp b/src/nstencil_half_multi2_3d_newton_tri.cpp
similarity index 100%
rename from src/nstencil_half_multi_tiered_3d_newton_tri.cpp
rename to src/nstencil_half_multi2_3d_newton_tri.cpp
diff --git a/src/nstencil_half_multi_tiered_3d_newton_tri.h b/src/nstencil_half_multi2_3d_newton_tri.h
similarity index 100%
rename from src/nstencil_half_multi_tiered_3d_newton_tri.h
rename to src/nstencil_half_multi2_3d_newton_tri.h