diff --git a/3d-models.cpp b/3d-models.cpp
index 0159e6d6..22eb696f 100644
--- a/3d-models.cpp
+++ b/3d-models.cpp
@@ -492,7 +492,7 @@ void geometry_information::make_skeletal(hpcshape& sh, ld push) {
 
 hyperpoint yzspin(ld alpha, hyperpoint h) {
   if(gproduct) return product::direct_exp(cspin(1, 2, alpha) * product::inverse_exp(h));
-  else if(embedded_plane && msphere && !sphere) {
+  else if(embedded_plane && geom3::sph_in_low()) {
     h = gpushxto0(tile_center()) * h;
     h = cspin(1, 2, alpha) * h;
     h = rgpushxto0(tile_center()) * h;
diff --git a/geometry.cpp b/geometry.cpp
index b74398d4..1f18eac1 100644
--- a/geometry.cpp
+++ b/geometry.cpp
@@ -1143,6 +1143,10 @@ EX namespace geom3 {
     return ggclass() == gcHyperbolic && mgclass() == gcSphere;
     }
 
+  EX bool sph_in_low() {
+    return mgclass() == gcSphere && among(ggclass(), gcHyperbolic, gcEuclid);
+    }
+
   EX bool in_product() {
     return ggclass() == gcProduct;
     }
diff --git a/graph.cpp b/graph.cpp
index 573536bb..6ff2927f 100644
--- a/graph.cpp
+++ b/graph.cpp
@@ -782,7 +782,7 @@ EX shiftmatrix face_the_player(const shiftmatrix V) {
     return shiftless(cspin90(1, 2) * lrspintox(cspin90(2, 1) * uh) * xpush(hdist0(uh)) * cspin90(0, 2) * spin270());
     }
   #endif
-  if(embedded_plane && msphere && !sphere && !gproduct) return shiftless(map_relative_push(unshift(V * zpush0(1))) * zpush(-1));
+  if(embedded_plane && geom3::sph_in_low()) return shiftless(map_relative_push(unshift(V * zpush0(1))) * zpush(-1));
   return rgpushxto0(tC0(V));
   }