diff --git a/hgeometry/data/test-with-ipe/PlaneGraph/myPlaneGraph.yaml b/hgeometry/data/test-with-ipe/PlaneGraph/myPlaneGraph.yaml
new file mode 100644
index 000000000..a42c11927
--- /dev/null
+++ b/hgeometry/data/test-with-ipe/PlaneGraph/myPlaneGraph.yaml
@@ -0,0 +1,75 @@
+adjacencies:
+- - 0
+  - - 1
+    - 5
+    - 9
+    - 2
+- - 1
+  - - 0
+    - 5
+    - 12
+- - 2
+  - - 3
+    - 0
+- - 3
+  - - 4
+    - 2
+- - 4
+  - - 3
+    - 13
+- - 5
+  - - 1
+    - 0
+    - 6
+    - 8
+- - 6
+  - - 5
+    - 9
+- - 7
+  - - 8
+    - 11
+- - 8
+  - - 5
+    - 7
+    - 12
+- - 9
+  - - 6
+    - 0
+    - 10
+- - 10
+  - - 9
+    - 11
+- - 11
+  - - 10
+    - 7
+- - 12
+  - - 8
+    - 14
+    - 1
+    - 13
+- - 13
+  - - 4
+    - 14
+    - 12
+- - 14
+  - - 13
+    - 12
+faces:
+- core: 0
+  extra: "Outer"
+- core: 1
+  extra: A
+- core: 2
+  extra: B
+- core: 3
+  extra: C
+- core: 4
+  extra: D
+- core: 5
+  extra: E
+- core: 6
+  extra: F
+darts:
+
+vertices:
+- core:
diff --git a/hgeometry/src/HGeometry/PlaneGraph/Class.hs b/hgeometry/src/HGeometry/PlaneGraph/Class.hs
index 29bd3f9e9..02ac8edba 100644
--- a/hgeometry/src/HGeometry/PlaneGraph/Class.hs
+++ b/hgeometry/src/HGeometry/PlaneGraph/Class.hs
@@ -77,7 +77,7 @@ class ( PlanarGraph_ planeGraph
   -- | gets the id of the outer face
   --
   outerFaceId    :: planeGraph -> FaceIx planeGraph
-  outerFaceId ps = leftFace (outerFaceDart ps) ps
+  outerFaceId ps = ps^.leftFaceOf (outerFaceDart ps).asIndex
 
   -- | gets a dart incident to the outer face (in particular, that has the
   -- outerface on its left)
diff --git a/hgeometry/src/HGeometry/PlaneGraph/Type.hs b/hgeometry/src/HGeometry/PlaneGraph/Type.hs
index 15a5ed9ba..52d8942e7 100644
--- a/hgeometry/src/HGeometry/PlaneGraph/Type.hs
+++ b/hgeometry/src/HGeometry/PlaneGraph/Type.hs
@@ -87,9 +87,9 @@ instance HasFaces (PlaneGraph s v e f) (PlaneGraph s v e f') where
   faces = _PlanarGraph.faces
 
 ----------------------------------------
-instance DirGraph_ (PlaneGraph s v e f) where
-  type DirGraphFromAdjListExtraConstraints (PlaneGraph s v e f) h = (f ~ (), Foldable1 h)
-  dirGraphFromAdjacencyLists = PlaneGraph . dirGraphFromAdjacencyLists
+instance DiGraph_ (PlaneGraph s v e f) where
+  type DiGraphFromAdjListExtraConstraints (PlaneGraph s v e f) h = (f ~ (), Foldable1 h)
+  diGraphFromAdjacencyLists = PlaneGraph . diGraphFromAdjacencyLists
   endPoints (PlaneGraph g) = endPoints g
   twinDartOf d = twinOf d . to Just
   outgoingDartsOf v = _PlanarGraph.outgoingDartsOf v
@@ -109,17 +109,16 @@ instance Graph_ (PlaneGraph s v e f) where
 instance PlanarGraph_ (PlaneGraph s v e f) where
   type DualGraphOf (PlaneGraph s v e f) = PlanarGraph s Dual f e v
 
-
   dualGraph = dualGraph . coerce @_ @(PlanarGraph s Primal v e f)
 
-  leftFace  d = leftFace d  . coerce @_ @(PlanarGraph s Primal v e f)
-  rightFace d = rightFace d . coerce @_ @(PlanarGraph s Primal v e f)
+  leftFaceOf  d = _PlanarGraph.leftFaceOf d
+  rightFaceOf d = _PlanarGraph.rightFaceOf d
 
-  nextEdge d = nextEdge d  . coerce @_ @(PlanarGraph s Primal v e f)
-  prevEdge d = prevEdge d  . coerce @_ @(PlanarGraph s Primal v e f)
+  nextDartOf d = _PlanarGraph.nextDartOf d
+  prevDartOf d = _PlanarGraph.prevDartOf d
 
-  boundaryDart f = boundaryDart f . coerce @_ @(PlanarGraph s Primal v e f)
-  boundary f = boundary f         . coerce @_ @(PlanarGraph s Primal v e f)
+  boundaryDartOf f = _PlanarGraph.boundaryDartOf f
+  boundaryDarts f = boundaryDarts f . coerce @_ @(PlanarGraph s Primal v e f)
 
 
 instance ( Point_ v 2 (NumType v)