diff --git a/geometry2.cpp b/geometry2.cpp
index 4ba6e9da..310b44b7 100644
--- a/geometry2.cpp
+++ b/geometry2.cpp
@@ -468,6 +468,7 @@ EX ld cellgfxdist(cell *c, int d) { return currentmap->spacedist(c, d); }
 
 EX transmatrix ddspin_side(cell *c, int d, ld bonus IS(0)) { 
   if(kite::in()) {
+    if(embedded_plane) return spin(bonus);
     hyperpoint h1 = get_corner_position(c, gmod(d, c->type), 3);
     hyperpoint h2 = get_corner_position(c, gmod(d+1, c->type) , 3);
     hyperpoint hm = mid(h1, h2);
@@ -478,6 +479,7 @@ EX transmatrix ddspin_side(cell *c, int d, ld bonus IS(0)) {
 
 EX transmatrix iddspin_side(cell *c, int d, ld bonus IS(0)) {
   if(kite::in()) {
+    if(embedded_plane) return spin(bonus);
     hyperpoint h1 = get_corner_position(c, gmod(d, c->type), 3);
     hyperpoint h2 = get_corner_position(c, gmod(d+1, c->type) , 3);
     hyperpoint hm = mid(h1, h2);
diff --git a/kite.cpp b/kite.cpp
index f15eb8f4..8d086bdf 100644
--- a/kite.cpp
+++ b/kite.cpp
@@ -19,7 +19,7 @@ enum pshape {pDart, pKite};
 #endif
 
 transmatrix meuscale(ld z) {
-  if(euclid) {
+  if(meuclid) {
     transmatrix T = Id;
     T[0][0] = z;
     T[1][1] = z;
@@ -30,7 +30,7 @@ transmatrix meuscale(ld z) {
   }
 
 transmatrix mspin(ld alpha) {
-  if(euclid)
+  if(meuclid)
     return spin(alpha);
   else
     return cspin(1, 2, alpha);
@@ -39,14 +39,14 @@ transmatrix mspin(ld alpha) {
 const ld euscale = 0.5;
 
 transmatrix meupush(ld x, ld y) {
-  if(euclid)
+  if(meuclid)
     return eupush(euscale * x, euscale * y);
   else
     return bt::parabolic3(x, y);
   }
 
 hyperpoint mhpxy(ld x, ld y) {
-  if(euclid) return hpxy(euscale * x, euscale * y);
+  if(meuclid) return hpxy(euscale * x, euscale * y);
   else return bt::parabolic3(x, y) * C0;
   }
 
@@ -161,7 +161,7 @@ struct hrmap_kite : hrmap {
     h->s = hstate(s);
     h->dm4 = h->distance = dist;
     if(bt::in() || dist == 0)
-      h->c7 = newCell(euclid ? 4 : s == pKite ? 12 : 10, h);
+      h->c7 = newCell(meuclid ? 4 : s == pKite ? 12 : 10, h);
     return h;
     }
   
@@ -247,7 +247,9 @@ struct hrmap_kite : hrmap {
     }
 
   void make_graphrules() {
-    if(geom3::flipped) return geom3::in_not_flipped([&] { return make_graphrules(); });
+    bool f = geom3::flipped;
+    bool emb = embedded_plane;
+    if(emb) geom3::light_flip(true);
 
     pKite1 = meupush(-1, kite_center + 0) * mspin(108._deg) * meuscale(rphi) * meupush(0, down - kite_center);
     pKite2 = meupush(1, kite_center + 0) * mspin(-108._deg) * meuscale(rphi) * meupush(0, down - kite_center);
@@ -300,6 +302,13 @@ struct hrmap_kite : hrmap {
     graphrule(pKite, 9, pKite, 4, pKite1);
     graphrule(pKite, 10, pDart, 4, pKite3);
     graphrule(pKite, 11, pDart, 5, ipKite1 * ipDart1 * pDart2 * pDart2 * pDart2);
+
+    if(emb) {
+      geom3::light_flip(false);
+      for(auto& g: graphrules) swapmatrix(g.second);
+
+      geom3::light_flip(f);
+      }
     }
 
   transmatrix adj(cell *c, int dir) override {