diff --git a/graph.cpp b/graph.cpp
index 68832f08..e6689695 100644
--- a/graph.cpp
+++ b/graph.cpp
@@ -665,7 +665,7 @@ color_t kind_outline(eItem it) {
     return OUTLINE_OTHER;
   }
 
-transmatrix face_the_player(transmatrix V) {
+transmatrix face_the_player(const transmatrix V) {
   if(DIM == 2) return V;
   return rgpushxto0(tC0(V));
   }
@@ -5465,7 +5465,7 @@ void drawcell(cell *c, transmatrix V, int spinv, bool mirrored) {
       queuechr(V, 1, ch, darkenedby(asciicol, darken), 2);
       }
     
-    if(vid.grid) {
+    if(vid.grid || (DIM == 3 && c->land == laAsteroids)) {
       dynamicval<ld> lw(vid.linewidth, vid.linewidth);
 
       vid.linewidth *= scalefactor;
diff --git a/hyper.h b/hyper.h
index eb3fc8de..fcc41cb4 100644
--- a/hyper.h
+++ b/hyper.h
@@ -2022,6 +2022,9 @@ extern bool ivoryz;
 #define SHADOW_SL   0x18
 #define SHADOW_MON  0x30
 
+transmatrix face_the_player(const transmatrix V);
+hyperpoint makeradar(transmatrix V);
+
 bool drawMonsterType(eMonster m, cell *where, const transmatrix& V, color_t col, double footphase);
 
 void drawPlayerEffects(const transmatrix& V, cell *c, bool onPlayer);
diff --git a/polygons.cpp b/polygons.cpp
index e1f14308..a4ff670c 100644
--- a/polygons.cpp
+++ b/polygons.cpp
@@ -2318,6 +2318,7 @@ void procedural_shapes() {
 
   for(int i=0; i<8; i++) {
     asteroid_size[i] = scalefactor * 0.1 * pow(2, (i-1) * 1. / DIM);
+    if(DIM == 3) asteroid_size[i] *= 4;
     bshape(shAsteroid[i], PPR::PARTICLE);
     for(int t=0; t<12; t++) 
       hpcpush(xspinpush0(M_PI * t / 6, asteroid_size[i] * (1 - randd() * .2)));
diff --git a/shmup.cpp b/shmup.cpp
index 3cd9050c..3031ab0b 100644
--- a/shmup.cpp
+++ b/shmup.cpp
@@ -1847,6 +1847,7 @@ void movePlayer(monster *m, int delta) {
       if(igo) { go = false; break; }
       ld r = hypot_d(DIM, avg_inertia);
       nat = nat * rspintox(avg_inertia) * xpush(r * delta) * spintox(avg_inertia);
+      if(DIM == 3) nat = nat * cspin(0, 2, playerturn[cpid]) * cspin(1, 2, playerturny[cpid]);
       }
     else if(DIM == 3) {
       nat = nat1 * cpush(0, playerstrafe[cpid]) * cpush(2, playergo[cpid]) * cspin(0, 2, playerturn[cpid]) * cspin(1, 2, playerturny[cpid]);
@@ -3690,9 +3691,15 @@ bool drawMonster(const transmatrix& V, cell *c, const transmatrix*& Vboat, trans
         break;        
         }
       case moAsteroid: {
-        transmatrix t = view * spin(curtime / 500.0);
-        queuepoly(mmscale(t, 1.15), shAsteroid[m->hitpoints & 7], (minf[m->type].color << 8) | 0xFF);
+        if(DIM == 3) radarpoints.emplace_back(radarpoint{makeradar(view), '*', 0xFFFFFF, 0xC0C0C0FF});
+        transmatrix t = view;
+        if(DIM == 3) t = face_the_player(t);
+        t = t * spin(curtime / 500.0);
         ShadowV(t, shAsteroid[m->hitpoints & 7]);
+        if(DIM == 2) t = mmscale(t, 1.15);
+        color_t col = DIM == 3 ? 0xFFFFFF : minf[m->type].color;
+        col <<= 8;
+        queuepoly(t, shAsteroid[m->hitpoints & 7], col | 0xFF);
         break;
         }