diff --git a/experiments/2024-12-09/src/geometry/sketch.rs b/experiments/2024-12-09/src/geometry/sketch.rs
index 8749f5c07..acc1df86c 100644
--- a/experiments/2024-12-09/src/geometry/sketch.rs
+++ b/experiments/2024-12-09/src/geometry/sketch.rs
@@ -1,7 +1,7 @@
 use crate::{
     math::{Plane, Point},
     object::Handle,
-    topology::{face::Face, vertex::Vertex},
+    topology::{face::Face, half_edge::HalfEdge, vertex::Vertex},
 };
 
 pub struct Sketch {
@@ -10,11 +10,16 @@ pub struct Sketch {
 
 impl Sketch {
     pub fn to_face(&self, surface: Plane) -> Face {
-        let vertices = self.points.iter().copied().map(|point| {
-            let point = surface.point_from_local(point);
-            let vertex = Vertex::new(point);
-            Handle::new(vertex)
-        });
+        let vertices = self
+            .points
+            .iter()
+            .copied()
+            .map(|point| {
+                let point = surface.point_from_local(point);
+                let vertex = Vertex::new(point);
+                Handle::new(vertex)
+            })
+            .map(|vertex| Handle::new(HalfEdge::new(vertex)));
 
         Face::new(surface, vertices)
     }
diff --git a/experiments/2024-12-09/src/operations/connect.rs b/experiments/2024-12-09/src/operations/connect.rs
index 737793f75..69c2c552d 100644
--- a/experiments/2024-12-09/src/operations/connect.rs
+++ b/experiments/2024-12-09/src/operations/connect.rs
@@ -1,7 +1,7 @@
 use crate::{
     math::Plane,
     object::Handle,
-    topology::{face::Face, solid::Solid},
+    topology::{face::Face, half_edge::HalfEdge, solid::Solid},
 };
 
 pub trait ConnectExt {
@@ -40,7 +40,9 @@ impl ConnectExt for Handle<Face> {
                     Plane::from_points([q, r, s].map(|vertex| vertex.point));
                 let face = Face::new(
                     surface,
-                    [q, r, s, t].map(|vertex| vertex.clone()),
+                    [q, r, s, t].map(|vertex| {
+                        Handle::new(HalfEdge::new(vertex.clone()))
+                    }),
                 );
                 Handle::new(face)
             })
diff --git a/experiments/2024-12-09/src/operations/flip.rs b/experiments/2024-12-09/src/operations/flip.rs
index 5743b493b..5c4dbe5a8 100644
--- a/experiments/2024-12-09/src/operations/flip.rs
+++ b/experiments/2024-12-09/src/operations/flip.rs
@@ -6,11 +6,6 @@ pub trait FlipExt {
 
 impl FlipExt for &Face {
     fn flip(self) -> Face {
-        Face::new(
-            self.surface().flip(),
-            self.half_edges()
-                .cloned()
-                .map(|half_edge| half_edge.start().clone()),
-        )
+        Face::new(self.surface().flip(), self.half_edges().cloned())
     }
 }
diff --git a/experiments/2024-12-09/src/operations/translate.rs b/experiments/2024-12-09/src/operations/translate.rs
index d0c35d7eb..f9c501af5 100644
--- a/experiments/2024-12-09/src/operations/translate.rs
+++ b/experiments/2024-12-09/src/operations/translate.rs
@@ -1,7 +1,7 @@
 use crate::{
     math::Vector,
     object::Handle,
-    topology::{face::Face, vertex::Vertex},
+    topology::{face::Face, half_edge::HalfEdge, vertex::Vertex},
 };
 
 pub trait TranslateExt {
@@ -15,7 +15,9 @@ impl TranslateExt for Face {
         Face::new(
             self.surface().translate(offset),
             self.half_edges().map(|half_edge| {
-                Handle::new(half_edge.start().translate(offset))
+                Handle::new(HalfEdge::new(Handle::new(
+                    half_edge.start().translate(offset),
+                )))
             }),
         )
     }
diff --git a/experiments/2024-12-09/src/topology/face.rs b/experiments/2024-12-09/src/topology/face.rs
index 8c6f88331..27301989e 100644
--- a/experiments/2024-12-09/src/topology/face.rs
+++ b/experiments/2024-12-09/src/topology/face.rs
@@ -20,12 +20,9 @@ pub struct Face {
 impl Face {
     pub fn new(
         surface: Plane,
-        vertices: impl IntoIterator<Item = Handle<Vertex>>,
+        vertices: impl IntoIterator<Item = Handle<HalfEdge>>,
     ) -> Self {
-        let half_edges = vertices
-            .into_iter()
-            .map(|vertex| Handle::new(HalfEdge::new(vertex)))
-            .collect();
+        let half_edges = vertices.into_iter().collect();
         Self {
             surface,
             half_edges,