diff --git a/geom-exp.cpp b/geom-exp.cpp
index d8ed262e..aa368122 100644
--- a/geom-exp.cpp
+++ b/geom-exp.cpp
@@ -1102,8 +1102,14 @@ EX void showEuclideanMenu() {
     dialog::add_action_push(show3D);
     }
   menuitem_projection('1');
-  if(nonisotropic && !sl2 && !embedded_plane)
-    dialog::addBoolItem_action(XLAT("geodesic movement in Sol/Nil"), nisot::geodesic_movement, 'G');
+  if(nonisotropic && !sl2 && !embedded_plane) {
+    dialog::addBoolItem(XLAT("geodesic movement in Sol/Nil"), nisot::geodesic_movement, 'G');
+    dialog::add_action([] {
+      nisot::geodesic_movement = !nisot::geodesic_movement;
+      if(pmodel == mdLiePerspective && nisot::geodesic_movement) pmodel = mdGeodesic;
+      if(pmodel == mdGeodesic && !nisot::geodesic_movement) pmodel = mdLiePerspective;
+      });
+    }
   #if CAP_CRYSTAL && MAXMDIM >= 4
   crystal::add_crystal_transform('x');  
   #endif
diff --git a/system.cpp b/system.cpp
index da782a2b..f0c4d744 100644
--- a/system.cpp
+++ b/system.cpp
@@ -1368,7 +1368,8 @@ EX void stop_game() {
   }
 
 EX eModel default_model() {
-  if(nonisotropic) return mdGeodesic;
+  if(sl2) return mdGeodesic;
+  if(nonisotropic) return nisot::geodesic_movement ? mdGeodesic : mdLiePerspective;
   if(GDIM == 3) return mdPerspective;
   return mdDisk;
   }