diff --git a/3d-models.cpp b/3d-models.cpp
index 8ee5cc4f..06915797 100644
--- a/3d-models.cpp
+++ b/3d-models.cpp
@@ -615,6 +615,7 @@ void geometry_information::animate_bird(hpcshape& orig, hpcshape_animated& anima
   }
 
 EX hyperpoint forward_dir(ld x) { return prod ? point3(x, 0, 0) : xpush0(x); }
+EX hyperpoint zforward_dir(ld z) { return prod ? point3(0, 0, z) : zpush0(z); }
 
 EX hyperpoint dir_to_point(hyperpoint h) { return prod ? product::direct_exp(h) : h; }
 
diff --git a/graph.cpp b/graph.cpp
index 93de8b71..04a2d098 100644
--- a/graph.cpp
+++ b/graph.cpp
@@ -7227,9 +7227,9 @@ EX void precise_mouseover() {
     mouseover2 = mouseover = viewcenter();
     ld best = HUGE_VAL;
     hyperpoint h = 
-      prod ? product::direct_exp( inverse(nisot::local_perspective) * cspin(2, 0, M_PI/2) * forward_dir(1) ) :
+      prod ? product::direct_exp( inverse(nisot::local_perspective) * zforward_dir(1) ) :
       
-      nisot::local_perspective_used() ? inverse(nisot::local_perspective) * cpush(2, 1) * C0 : cpush(2, 1) * C0;
+      nisot::local_perspective_used() ? inverse(nisot::local_perspective) * zpush0(1) : zpush0(1);
     forCellEx(c1, mouseover2) {
       ld dist = hdist(tC0(ggmatrix(c1)), h);
       if(dist < best) mouseover = c1, best = dist;
diff --git a/hyperpoint.cpp b/hyperpoint.cpp
index 09ce2991..6b17a68b 100644
--- a/hyperpoint.cpp
+++ b/hyperpoint.cpp
@@ -1010,6 +1010,7 @@ inline hyperpoint xspinpush0(ld alpha, ld x) {
 
 inline hyperpoint xpush0(ld x) { return cpush0(0, x); }
 inline hyperpoint ypush0(ld x) { return cpush0(1, x); }
+inline hyperpoint zpush0(ld x) { return cpush0(2, x); }
 
 // T * C0, optimized
 inline hyperpoint tC0(const transmatrix &T) {
diff --git a/mapeditor.cpp b/mapeditor.cpp
index d70ac2cb..1a970821 100644
--- a/mapeditor.cpp
+++ b/mapeditor.cpp
@@ -1114,7 +1114,7 @@ namespace mapeditor {
   unsigned gridcolor = 0xC0C0C040;
   
   hyperpoint in_front_dist(ld d) {
-    hyperpoint h = prod ? product::direct_exp( inverse(nisot::local_perspective) * cspin(2, 0, M_PI/2) * forward_dir(d) ) : cpush0(2, d);
+    hyperpoint h = prod ? product::direct_exp( inverse(nisot::local_perspective) * zforward_dir(d) ) : zpush0(d);
     if(nonisotropic && nisot::geodesic_movement) h = nisot::get_exp(inverse(nisot::local_perspective) * h, 100);
     return h;
     }