diff --git a/src/kernel/algorithms/sweep.rs b/src/kernel/algorithms/sweep.rs
index 36e4b0fc47..a63c276578 100644
--- a/src/kernel/algorithms/sweep.rs
+++ b/src/kernel/algorithms/sweep.rs
@@ -1,5 +1,10 @@
+use std::collections::HashMap;
+
 use crate::{
-    kernel::{shape::Shape, topology::faces::Face},
+    kernel::{
+        shape::Shape,
+        topology::{edges::Edge, faces::Face},
+    },
     math::{Scalar, Transform, Vector},
 };
 
@@ -22,6 +27,45 @@ pub fn sweep_shape(
     let mut top_faces = Vec::new();
     let mut side_faces = Vec::new();
 
+    // Create new vertices.
+    let mut vertices = HashMap::new();
+    for vertex_orig in shape_orig.vertices().all() {
+        let point = vertex_orig.point() + path;
+
+        let vertex = shape.vertices().add(point);
+
+        vertices.insert(vertex_orig, vertex);
+    }
+
+    // Create top edges.
+    // let mut edges = HashMap::new();
+    // for cycle_orig in shape_orig.cycles().all() {
+    //     for edge_orig in cycle_orig.edges {
+    //         let curve =
+    //             shape.curves().add(edge_orig.curve.transform(&translation));
+
+    //         let vertices = edge_orig.vertices.map(|vs| {
+    //             vs.map(|v| {
+    //                 *vertices.get(&v).expect(
+    //                 "Edge is referring to vertex that doesn't exist in shape",
+    //             )
+    //             })
+    //         });
+
+    //         let edge = Edge { curve, vertices };
+    //         // TASK: We need to insert `edge` into `shape` here, but that
+    //         //       doesn't quite work. We're losing the cycles here, but we
+    //         //       need to faithfully reproduce those too.
+
+    //         edges.insert(edge_orig, edge);
+    //     }
+    // }
+
+    // Create top faces.
+
+    // We could use `vertices` to create the side edges and faces here, but the
+    // side walls is created below, in triangle representation.
+
     for face in shape_orig.faces().all() {
         bottom_faces.push(face.clone());
 
diff --git a/src/kernel/shape/vertices.rs b/src/kernel/shape/vertices.rs
index 801a2c765e..cf84262400 100644
--- a/src/kernel/shape/vertices.rs
+++ b/src/kernel/shape/vertices.rs
@@ -52,6 +52,14 @@ impl Vertices<'_> {
 
         handle
     }
+
+    /// Access iterator over all vertices
+    ///
+    /// The caller must not make any assumptions about the order of vertices.
+    pub fn all(&self) -> impl Iterator<Item = Vertex> {
+        // TASK: Implement
+        std::iter::empty()
+    }
 }
 
 #[cfg(test)]