diff --git a/crates/fj-kernel/src/algorithms/reverse/cycle.rs b/crates/fj-kernel/src/algorithms/reverse/cycle.rs
index 7ec00c5bc..45e67bc30 100644
--- a/crates/fj-kernel/src/algorithms/reverse/cycle.rs
+++ b/crates/fj-kernel/src/algorithms/reverse/cycle.rs
@@ -8,7 +8,7 @@ impl Reverse for Cycle {
 
         let mut edges = self
             .into_edges()
-            .map(|edge| edge.reverse())
+            .map(|edge| edge.reverse_including_curve())
             .collect::<Vec<_>>();
 
         edges.reverse();
diff --git a/crates/fj-kernel/src/algorithms/reverse/edge.rs b/crates/fj-kernel/src/algorithms/reverse/edge.rs
index 2543c5e43..b64d59753 100644
--- a/crates/fj-kernel/src/algorithms/reverse/edge.rs
+++ b/crates/fj-kernel/src/algorithms/reverse/edge.rs
@@ -4,6 +4,6 @@ use super::Reverse;
 
 impl Reverse for Edge {
     fn reverse(self) -> Self {
-        self.reverse_including_curve()
+        Edge::from_curve_and_vertices(*self.curve(), self.vertices().reverse())
     }
 }
diff --git a/crates/fj-kernel/src/algorithms/sweep/edge.rs b/crates/fj-kernel/src/algorithms/sweep/edge.rs
index bb63a6064..46f6d6148 100644
--- a/crates/fj-kernel/src/algorithms/sweep/edge.rs
+++ b/crates/fj-kernel/src/algorithms/sweep/edge.rs
@@ -44,7 +44,7 @@ fn create_non_continuous_side_face(
     color: Color,
 ) -> Face {
     let edge = if path.is_negative_direction() {
-        edge.reverse()
+        edge.reverse_including_curve()
     } else {
         *edge
     };
diff --git a/crates/fj-kernel/src/objects/edge.rs b/crates/fj-kernel/src/objects/edge.rs
index dc9ec2a17..d1cb7bbf3 100644
--- a/crates/fj-kernel/src/objects/edge.rs
+++ b/crates/fj-kernel/src/objects/edge.rs
@@ -239,22 +239,7 @@ impl VerticesOfEdge<Vertex> {
     ///
     /// Makes sure that the local coordinates are still correct.
     pub fn reverse(self) -> Self {
-        Self(self.0.map(|[a, b]| {
-            [
-                Vertex::new(
-                    -b.position(),
-                    b.curve().reverse(),
-                    *b.surface_form(),
-                    *b.global_form(),
-                ),
-                Vertex::new(
-                    -a.position(),
-                    a.curve().reverse(),
-                    *a.surface_form(),
-                    *a.global_form(),
-                ),
-            ]
-        }))
+        Self(self.0.map(|[a, b]| [b, a]))
     }
 
     /// Convert this instance into its global variant