diff --git a/modules/osm/node.js b/modules/osm/node.js
index f72dbcae2..a407750b2 100644
--- a/modules/osm/node.js
+++ b/modules/osm/node.js
@@ -55,6 +55,28 @@ _.extend(osmNode.prototype, {
     },
 
 
+    isConnected: function(resolver) {
+        return resolver.transient(this, 'isConnected', function() {
+            var parents = resolver.parentWays(this);
+
+            // vertex is connected to multiple parent ways
+            if (parents.length > 1) {
+                return true;
+
+            } else if (parents.length === 1) {
+                var way = parents[0],
+                    nodes = way.nodes.slice();
+                if (way.isClosed()) { nodes.pop(); }  // ignore connecting node if closed
+
+                // return true if vertex appears multiple times (way is self intersecting)
+                return nodes.indexOf(this.id) !== nodes.lastIndexOf(this.id);
+            }
+
+            return false;
+        });
+    },
+
+
     isIntersection: function(resolver) {
         return resolver.transient(this, 'isIntersection', function() {
             return resolver.parentWays(this).filter(function(parent) {
diff --git a/modules/svg/vertices.js b/modules/svg/vertices.js
index bd332abb5..d3a850768 100644
--- a/modules/svg/vertices.js
+++ b/modules/svg/vertices.js
@@ -13,6 +13,7 @@ export function svgVertices(projection, context) {
 
     var hover;
 
+
     function siblingAndChildVertices(ids, graph, extent) {
         var vertices = {};
 
@@ -78,7 +79,7 @@ export function svgVertices(projection, context) {
                             r = rads[i ? 3 : z];
 
                         // slightly increase the size of unconnected endpoints #3775
-                        if (entity.isEndpoint(graph) && !graph.isShared(entity)) {
+                        if (entity.isEndpoint(graph) && !entity.isConnected(graph)) {
                             r += 1.5;
                         }
 
@@ -166,7 +167,7 @@ export function svgVertices(projection, context) {
             if (entity.id in selected ||
                 entity.hasInterestingTags() ||
                 entity.isEndpoint(graph) ||
-                entity.isIntersection(graph)) {
+                entity.isConnected(graph)) {
                 vertices.push(entity);
             }
         }
diff --git a/test/spec/osm/node.js b/test/spec/osm/node.js
index 5465f4268..5e91dad95 100644
--- a/test/spec/osm/node.js
+++ b/test/spec/osm/node.js
@@ -67,6 +67,41 @@ describe('iD.osmNode', function () {
         });
     });
 
+    describe('#isConnected', function () {
+        it('returns true for a node with more than one parent way', function () {
+            var node = iD.Node(),
+                w1 = iD.Way({nodes: [node.id]}),
+                w2 = iD.Way({nodes: [node.id]}),
+                graph = iD.Graph([node, w1, w2]);
+            expect(node.isConnected(graph)).to.equal(true);
+        });
+
+        it('returns false for a standalone node on a single parent way', function () {
+            var node = iD.Node(),
+                way = iD.Way({nodes: [node.id]}),
+                graph = iD.Graph([node, way]);
+            expect(node.isConnected(graph)).to.equal(false);
+        });
+
+        it('returns true for a self-intersecting node on a single parent way', function () {
+            var a = iD.Node({id: 'a'}),
+                b = iD.Node({id: 'b'}),
+                c = iD.Node({id: 'c'}),
+                w = iD.Way({nodes: ['a', 'b', 'c', 'b']}),
+                graph = iD.Graph([a, b, c, w]);
+            expect(b.isConnected(graph)).to.equal(true);
+        });
+
+        it('returns false for the connecting node of a closed way', function () {
+            var a = iD.Node({id: 'a'}),
+                b = iD.Node({id: 'b'}),
+                c = iD.Node({id: 'c'}),
+                w = iD.Way({nodes: ['a', 'b', 'c', 'a']}),
+                graph = iD.Graph([a, b, c, w]);
+            expect(a.isConnected(graph)).to.equal(false);
+        });
+    });
+
     describe('#isIntersection', function () {
         it('returns true for a node shared by more than one highway', function () {
             var node = iD.Node(),