diff --git a/graph.cpp b/graph.cpp
index a466dbc5..3100aef2 100644
--- a/graph.cpp
+++ b/graph.cpp
@@ -5364,7 +5364,7 @@ void queuecircleat(cell *c, double rad, color_t col) {
     dynamicval<color_t> p(poly_outline, col);
     for(int i=0; i<c->type; i++) {
       if(binarytiling && i < 4) continue;
-      queuepolyat(gmatrix[c], shBinaryWall[i], 0, PPR::LINE);
+      queuepolyat(gmatrix[c], shBinaryWall[i], 0, PPR::SUPERLINE);
       }
     return;
     }    
diff --git a/hyper.h b/hyper.h
index 89d3b904..461a8fbf 100644
--- a/hyper.h
+++ b/hyper.h
@@ -2074,7 +2074,9 @@ enum class PPR {
   PARTICLE, SWORDMARK, MAGICSWORD, MISSILE, 
   MINEMARK, ARROW,
   MOBILE_ARROW,
-  LINE, TEXT, CIRCLE,
+  LINE, 
+  // no depth testing for SUPERLINE and above
+  SUPERLINE, TEXT, CIRCLE,
   MAX,
   DEFAULT = -1
   };
diff --git a/polygons.cpp b/polygons.cpp
index f855c10e..07d4fdf5 100644
--- a/polygons.cpp
+++ b/polygons.cpp
@@ -608,7 +608,7 @@ void dqi_poly::gldraw() {
         
         current_display->set_mask(ed);
         glhr::color2(color);
-        glhr::set_depthtest(model_needs_depth());
+        glhr::set_depthtest(model_needs_depth() && prio < PPR::SUPERLINE);
   
         if(flags & (POLY_INVERSE | POLY_FORCE_INVERTED)) {
           glStencilOp( GL_ZERO, GL_ZERO, GL_ZERO);
@@ -640,7 +640,7 @@ void dqi_poly::gldraw() {
     
     if(outline) {
       glhr::color2(outline);
-      glhr::set_depthtest(model_needs_depth());
+      glhr::set_depthtest(model_needs_depth() && prio < PPR::SUPERLINE);
       glDrawArrays(GL_LINE_STRIP, offset, cnt);
       }
     }