diff --git a/src/geode/geometry/distance.cpp b/src/geode/geometry/distance.cpp
index e31e8a79c..bba7dd93c 100644
--- a/src/geode/geometry/distance.cpp
+++ b/src/geode/geometry/distance.cpp
@@ -1211,6 +1211,10 @@ namespace geode
                 point0 = vertices0[non_colocated_points0[0]].get();
                 point1 = cur_pt;
             }
+            if( min_distance <= GLOBAL_EPSILON )
+            {
+                return std::tuple{ min_distance, point0, point1 };
+            }
         }
         if( non_colocated_points1.size() == 1 )
         {
@@ -1222,6 +1226,10 @@ namespace geode
                 point0 = cur_pt;
                 point1 = vertices1[non_colocated_points1[0]].get();
             }
+            if( min_distance <= GLOBAL_EPSILON )
+            {
+                return std::tuple{ min_distance, point0, point1 };
+            }
         }
         if( non_colocated_points0.size() == 1
             && non_colocated_points1.size() == 1 )
@@ -1235,6 +1243,10 @@ namespace geode
                 point0 = cur_pt0;
                 point1 = cur_pt1;
             }
+            if( min_distance <= GLOBAL_EPSILON )
+            {
+                return std::tuple{ min_distance, point0, point1 };
+            }
         }
         if( non_colocated_points0.size() > 1 )
         {
@@ -1246,6 +1258,10 @@ namespace geode
                 point0 = cur_pt0;
                 point1 = cur_pt1;
             }
+            if( min_distance <= GLOBAL_EPSILON )
+            {
+                return std::tuple{ min_distance, point0, point1 };
+            }
         }
         if( non_colocated_points1.size() > 1 )
         {
@@ -1257,6 +1273,10 @@ namespace geode
                 point0 = cur_pt0;
                 point1 = cur_pt1;
             }
+            if( min_distance <= GLOBAL_EPSILON )
+            {
+                return std::tuple{ min_distance, point0, point1 };
+            }
         }
         return std::tuple{ min_distance, point0, point1 };
     }