diff --git a/core/renderers/common/drawer.js b/core/renderers/common/drawer.js
index c59a6ca3d..89209ee6f 100644
--- a/core/renderers/common/drawer.js
+++ b/core/renderers/common/drawer.js
@@ -392,11 +392,12 @@ Blockly.blockRendering.Drawer.prototype.positionInlineInputConnection_ = functio
   // Move the connection.
   if (input.connection) {
     // xPos already contains info about startX
-    var connX = input.xPos + input.connectionWidth;
+    var connX = input.xPos + input.connectionWidth + input.connectionOffsetX;
     if (this.info_.RTL) {
       connX *= -1;
     }
-    input.connection.setOffsetInBlock(connX, yPos + input.connectionOffsetY);
+    input.connection.setOffsetInBlock(connX,
+        yPos + input.connectionOffsetY);
   }
 };
 
@@ -471,7 +472,7 @@ Blockly.blockRendering.Drawer.prototype.positionNextConnection_ = function() {
  */
 Blockly.blockRendering.Drawer.prototype.positionOutputConnection_ = function() {
   if (this.info_.outputConnection) {
-    var x = this.info_.startX;
+    var x = this.info_.startX + this.info_.outputConnection.connectionOffsetX;
     var connX = this.info_.RTL ? -x : x;
     this.block_.outputConnection.setOffsetInBlock(connX,
         this.info_.outputConnection.connectionOffsetY);
diff --git a/core/renderers/measurables/connections.js b/core/renderers/measurables/connections.js
index 5fb3f1632..5c095433d 100644
--- a/core/renderers/measurables/connections.js
+++ b/core/renderers/measurables/connections.js
@@ -74,6 +74,7 @@ Blockly.blockRendering.OutputConnection = function(constants, connectionModel) {
   this.startX = this.width;
 
   this.connectionOffsetY = this.constants_.TAB_OFFSET_FROM_TOP;
+  this.connectionOffsetX = 0;
 };
 Blockly.utils.object.inherits(Blockly.blockRendering.OutputConnection,
     Blockly.blockRendering.Connection);
diff --git a/core/renderers/measurables/inputs.js b/core/renderers/measurables/inputs.js
index 966bd4a98..2d505a342 100644
--- a/core/renderers/measurables/inputs.js
+++ b/core/renderers/measurables/inputs.js
@@ -97,13 +97,18 @@ Blockly.blockRendering.InlineInput = function(constants, input) {
     this.height = this.connectedBlockHeight;
   }
 
-  this.connectionHeight = this.shape.height;
+  this.connectionHeight = !this.isDynamicShape ? this.shape.height :
+      this.shape.height(this.height);
   this.connectionWidth = !this.isDynamicShape ? this.shape.width :
-    this.shape.width(this.height);
+      this.shape.width(this.height);
   if (!this.connectedBlock) {
     this.width += this.connectionWidth * (this.isDynamicShape ? 2 : 1);
   }
-  this.connectionOffsetY = this.constants_.TAB_OFFSET_FROM_TOP;
+  this.connectionOffsetY = this.isDynamicShape ?
+      this.shape.connectionOffsetY(this.connectionHeight) :
+      this.constants_.TAB_OFFSET_FROM_TOP;
+  this.connectionOffsetX = this.isDynamicShape ?
+      this.shape.connectionOffsetX(this.connectionWidth) : 0;
 };
 Blockly.utils.object.inherits(Blockly.blockRendering.InlineInput,
     Blockly.blockRendering.InputConnection);
diff --git a/core/renderers/zelos/constants.js b/core/renderers/zelos/constants.js
index e0224ca07..c0ca26000 100644
--- a/core/renderers/zelos/constants.js
+++ b/core/renderers/zelos/constants.js
@@ -444,6 +444,12 @@ Blockly.zelos.ConstantProvider.prototype.makeHexagonal = function() {
     height: function(height) {
       return height;
     },
+    connectionOffsetY: function(connectionHeight) {
+      return connectionHeight / 2;
+    },
+    connectionOffsetX: function(connectionWidth) {
+      return - connectionWidth;
+    },
     pathDown: function(height) {
       return makeMainPath(height, false, false);
     },
@@ -483,6 +489,12 @@ Blockly.zelos.ConstantProvider.prototype.makeRounded = function() {
     height: function(height) {
       return height;
     },
+    connectionOffsetY: function(connectionHeight) {
+      return connectionHeight / 2;
+    },
+    connectionOffsetX: function(connectionWidth) {
+      return - connectionWidth;
+    },
     pathDown: function(height) {
       return makeMainPath(height, false, false);
     },
diff --git a/core/renderers/zelos/info.js b/core/renderers/zelos/info.js
index aea66f2cc..726b51365 100644
--- a/core/renderers/zelos/info.js
+++ b/core/renderers/zelos/info.js
@@ -295,6 +295,10 @@ Blockly.zelos.RenderInfo.prototype.finalizeOutputConnection_ = function() {
   this.outputConnection.height = connectionHeight;
   this.outputConnection.width = connectionWidth;
   this.outputConnection.startX = connectionWidth;
+  this.outputConnection.connectionOffsetY =
+      this.outputConnection.shape.connectionOffsetY(connectionHeight);
+  this.outputConnection.connectionOffsetX =
+      this.outputConnection.shape.connectionOffsetX(connectionWidth);
 
   // Adjust right side measurable.
   this.rightSide.height = connectionHeight;