diff --git a/crates/fj-core/src/algorithms/approx/curve.rs b/crates/fj-core/src/algorithms/approx/curve.rs
index 98b759746..88bad2c64 100644
--- a/crates/fj-core/src/algorithms/approx/curve.rs
+++ b/crates/fj-core/src/algorithms/approx/curve.rs
@@ -299,7 +299,7 @@ mod tests {
                     &core
                         .layers
                         .geometry
-                        .of_surface_2(&surface)
+                        .generator_for_surface(&surface)
                         .unwrap()
                         .geometry,
                     point_surface,
@@ -339,7 +339,7 @@ mod tests {
                     &core
                         .layers
                         .geometry
-                        .of_surface_2(&surface)
+                        .generator_for_surface(&surface)
                         .unwrap()
                         .geometry,
                     point_surface,
diff --git a/crates/fj-core/src/algorithms/approx/vertex.rs b/crates/fj-core/src/algorithms/approx/vertex.rs
index 4112e8bcc..d1f29b9fc 100644
--- a/crates/fj-core/src/algorithms/approx/vertex.rs
+++ b/crates/fj-core/src/algorithms/approx/vertex.rs
@@ -32,7 +32,7 @@ pub fn approx_vertex(
         Some(position) => position,
         None => {
             let position_global = convert_point_surface_to_global(
-                &geometry.of_surface_2(surface).unwrap().geometry,
+                &geometry.generator_for_surface(surface).unwrap().geometry,
                 position_surface,
                 tolerance,
                 geometry,
diff --git a/crates/fj-core/src/algorithms/bounding_volume/face.rs b/crates/fj-core/src/algorithms/bounding_volume/face.rs
index a52aaa7e2..b4ad98003 100644
--- a/crates/fj-core/src/algorithms/bounding_volume/face.rs
+++ b/crates/fj-core/src/algorithms/bounding_volume/face.rs
@@ -23,8 +23,10 @@ impl super::BoundingVolume<3> for &Face {
         (self.region().exterior().deref(), self.surface())
             .aabb(geometry)
             .map(|aabb2| {
-                let surface =
-                    &geometry.of_surface_2(self.surface()).unwrap().geometry;
+                let surface = &geometry
+                    .generator_for_surface(self.surface())
+                    .unwrap()
+                    .geometry;
                 let tri_mesh =
                     surface.generate_tri_mesh(aabb2, tolerance, geometry);
                 let tri_mesh = tri_mesh.into_iter().map(|point| {
diff --git a/crates/fj-core/src/algorithms/triangulate/mod.rs b/crates/fj-core/src/algorithms/triangulate/mod.rs
index 107f457bb..03fc3f45e 100644
--- a/crates/fj-core/src/algorithms/triangulate/mod.rs
+++ b/crates/fj-core/src/algorithms/triangulate/mod.rs
@@ -184,7 +184,7 @@ mod tests {
                 &core
                     .layers
                     .geometry
-                    .of_surface_2(&surface)
+                    .generator_for_surface(&surface)
                     .unwrap()
                     .geometry,
                 point,
@@ -262,7 +262,7 @@ mod tests {
                 &core
                     .layers
                     .geometry
-                    .of_surface_2(&surface)
+                    .generator_for_surface(&surface)
                     .unwrap()
                     .geometry,
                 point,
diff --git a/crates/fj-core/src/geometry/geometry.rs b/crates/fj-core/src/geometry/geometry.rs
index 78ccc29d7..b4302bd91 100644
--- a/crates/fj-core/src/geometry/geometry.rs
+++ b/crates/fj-core/src/geometry/geometry.rs
@@ -214,7 +214,7 @@ impl Geometry {
     /// method returns the new-style geometry. Its name is temporary, while the
     /// method returning the old-style geometry is still taking up the more
     /// concise name.
-    pub fn of_surface_2(
+    pub fn generator_for_surface(
         &self,
         surface: &Handle<Surface>,
     ) -> Option<&SurfaceGeom> {
diff --git a/crates/fj-core/src/geometry/surfaces/transformed_surface.rs b/crates/fj-core/src/geometry/surfaces/transformed_surface.rs
index 75269ee47..0ad40fcb1 100644
--- a/crates/fj-core/src/geometry/surfaces/transformed_surface.rs
+++ b/crates/fj-core/src/geometry/surfaces/transformed_surface.rs
@@ -17,7 +17,7 @@ pub struct TransformedSurface {
 
 impl GenTriMesh for TransformedSurface {
     fn origin(&self, geometry: &Geometry) -> Point<3> {
-        let surface = geometry.of_surface_2(&self.surface).unwrap();
+        let surface = geometry.generator_for_surface(&self.surface).unwrap();
         self.transform
             .transform_point(&surface.geometry.origin(geometry))
     }
@@ -28,7 +28,7 @@ impl GenTriMesh for TransformedSurface {
         tolerance: Tolerance,
         geometry: &Geometry,
     ) -> (Triangle<3>, [Scalar; 3]) {
-        let surface = geometry.of_surface_2(&self.surface).unwrap();
+        let surface = geometry.generator_for_surface(&self.surface).unwrap();
         let (triangle, barycentric_coords) =
             surface
                 .geometry
@@ -47,7 +47,7 @@ impl GenTriMesh for TransformedSurface {
     ) -> Vec<Point<2>> {
         // The triangle mesh is generated in 2D surface coordinates. No need to
         // transform that.
-        let surface = geometry.of_surface_2(&self.surface).unwrap();
+        let surface = geometry.generator_for_surface(&self.surface).unwrap();
         surface
             .geometry
             .generate_tri_mesh(boundary, tolerance, geometry)
diff --git a/crates/fj-core/src/operations/holes.rs b/crates/fj-core/src/operations/holes.rs
index 811285347..db7f13247 100644
--- a/crates/fj-core/src/operations/holes.rs
+++ b/crates/fj-core/src/operations/holes.rs
@@ -95,7 +95,7 @@ impl AddHole for Shell {
                     &core
                         .layers
                         .geometry
-                        .of_surface_2(location.face.surface())
+                        .generator_for_surface(location.face.surface())
                         .unwrap()
                         .geometry,
                     location.position,
diff --git a/crates/fj-core/src/validate/solid.rs b/crates/fj-core/src/validate/solid.rs
index b9f53fd43..52adf6641 100644
--- a/crates/fj-core/src/validate/solid.rs
+++ b/crates/fj-core/src/validate/solid.rs
@@ -117,7 +117,7 @@ impl SolidValidationError {
 
                 Some((
                     convert_point_surface_to_global(
-                        &geometry.of_surface_2(s).unwrap().geometry,
+                        &geometry.generator_for_surface(s).unwrap().geometry,
                         local_curve_geometry.path.point_from_path_coords(
                             geometry
                                 .of_vertex(h.start_vertex())
diff --git a/crates/fj-core/src/validation/checks/coincident_half_edges_are_not_siblings.rs b/crates/fj-core/src/validation/checks/coincident_half_edges_are_not_siblings.rs
index f3f122b9e..c25b3c880 100644
--- a/crates/fj-core/src/validation/checks/coincident_half_edges_are_not_siblings.rs
+++ b/crates/fj-core/src/validation/checks/coincident_half_edges_are_not_siblings.rs
@@ -229,7 +229,7 @@ fn distances(
             .path;
         let surface_coords = path.point_from_path_coords(path_coords);
         Some(convert_point_surface_to_global(
-            &geometry.of_surface_2(surface).unwrap().geometry,
+            &geometry.generator_for_surface(surface).unwrap().geometry,
             surface_coords,
             tolerance,
             geometry,