diff --git a/crates/fj-kernel/src/algorithms/intersect/curve_face.rs b/crates/fj-kernel/src/algorithms/intersect/curve_face.rs
index b33643310..35ee1f673 100644
--- a/crates/fj-kernel/src/algorithms/intersect/curve_face.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/curve_face.rs
@@ -189,8 +189,7 @@ mod tests {
         let face = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points(exterior)
             .with_interior_polygon_from_points(interior)
-            .build()
-            .into_face();
+            .build();
 
         let expected =
             CurveFaceIntersection::from_intervals([[[1.], [2.]], [[4.], [5.]]]);
diff --git a/crates/fj-kernel/src/algorithms/intersect/face_face.rs b/crates/fj-kernel/src/algorithms/intersect/face_face.rs
index 9e5aad5eb..1e93b9151 100644
--- a/crates/fj-kernel/src/algorithms/intersect/face_face.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/face_face.rs
@@ -86,7 +86,6 @@ mod tests {
             Face::builder(&stores, surface)
                 .with_exterior_polygon_from_points(points)
                 .build()
-                .into_face()
         });
 
         let intersection = FaceFaceIntersection::compute([&a, &b], &stores);
@@ -110,7 +109,6 @@ mod tests {
             Face::builder(&stores, surface)
                 .with_exterior_polygon_from_points(points)
                 .build()
-                .into_face()
         });
 
         let intersection = FaceFaceIntersection::compute([&a, &b], &stores);
diff --git a/crates/fj-kernel/src/algorithms/intersect/face_point.rs b/crates/fj-kernel/src/algorithms/intersect/face_point.rs
index c27e18091..8b1a8dcea 100644
--- a/crates/fj-kernel/src/algorithms/intersect/face_point.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/face_point.rs
@@ -144,8 +144,7 @@ mod tests {
 
         let face = Face::builder(&stores, Surface::xy_plane())
             .with_exterior_polygon_from_points([[0., 0.], [1., 1.], [0., 2.]])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([2., 1.]);
 
         let intersection = (&face, &point).intersect();
@@ -158,8 +157,7 @@ mod tests {
 
         let face = Face::builder(&stores, Surface::xy_plane())
             .with_exterior_polygon_from_points([[0., 0.], [2., 1.], [0., 2.]])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([1., 1.]);
 
         let intersection = (&face, &point).intersect();
@@ -175,8 +173,7 @@ mod tests {
 
         let face = Face::builder(&stores, Surface::xy_plane())
             .with_exterior_polygon_from_points([[4., 2.], [0., 4.], [0., 0.]])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([1., 2.]);
 
         let intersection = (&face, &point).intersect();
@@ -197,8 +194,7 @@ mod tests {
                 [3., 0.],
                 [3., 4.],
             ])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([1., 1.]);
 
         let intersection = (&face, &point).intersect();
@@ -219,8 +215,7 @@ mod tests {
                 [3., 1.],
                 [0., 2.],
             ])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([1., 1.]);
 
         let intersection = (&face, &point).intersect();
@@ -242,8 +237,7 @@ mod tests {
                 [4., 0.],
                 [4., 5.],
             ])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([1., 1.]);
 
         let intersection = (&face, &point).intersect();
@@ -259,8 +253,7 @@ mod tests {
 
         let face = Face::builder(&stores, Surface::xy_plane())
             .with_exterior_polygon_from_points([[0., 0.], [2., 0.], [0., 1.]])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([1., 0.]);
 
         let intersection = (&face, &point).intersect();
@@ -285,8 +278,7 @@ mod tests {
 
         let face = Face::builder(&stores, Surface::xy_plane())
             .with_exterior_polygon_from_points([[0., 0.], [1., 0.], [0., 1.]])
-            .build()
-            .into_face();
+            .build();
         let point = Point::from([1., 0.]);
 
         let intersection = (&face, &point).intersect();
diff --git a/crates/fj-kernel/src/algorithms/intersect/ray_face.rs b/crates/fj-kernel/src/algorithms/intersect/ray_face.rs
index 7ce478fdc..30e9ee513 100644
--- a/crates/fj-kernel/src/algorithms/intersect/ray_face.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/ray_face.rs
@@ -176,7 +176,6 @@ mod tests {
                 [-1., 1.],
             ])
             .build()
-            .into_face()
             .translate([-1., 0., 0.], &stores);
 
         assert_eq!((&ray, &face).intersect(), None);
@@ -196,7 +195,6 @@ mod tests {
                 [-1., 1.],
             ])
             .build()
-            .into_face()
             .translate([1., 0., 0.], &stores);
 
         assert_eq!(
@@ -219,7 +217,6 @@ mod tests {
                 [-1., 1.],
             ])
             .build()
-            .into_face()
             .translate([0., 0., 2.], &stores);
 
         assert_eq!((&ray, &face).intersect(), None);
@@ -239,7 +236,6 @@ mod tests {
                 [-1., 1.],
             ])
             .build()
-            .into_face()
             .translate([1., 1., 0.], &stores);
 
         let edge = face
@@ -270,7 +266,6 @@ mod tests {
                 [-1., 1.],
             ])
             .build()
-            .into_face()
             .translate([1., 1., 1.], &stores);
 
         let vertex = face
@@ -298,8 +293,7 @@ mod tests {
                 [1., 1.],
                 [-1., 1.],
             ])
-            .build()
-            .into_face();
+            .build();
 
         assert_eq!(
             (&ray, &face).intersect(),
@@ -321,7 +315,6 @@ mod tests {
                 [-1., 1.],
             ])
             .build()
-            .into_face()
             .translate([0., 0., 1.], &stores);
 
         assert_eq!((&ray, &face).intersect(), None)
diff --git a/crates/fj-kernel/src/algorithms/sweep/face.rs b/crates/fj-kernel/src/algorithms/sweep/face.rs
index 535ede82e..36906cfbd 100644
--- a/crates/fj-kernel/src/algorithms/sweep/face.rs
+++ b/crates/fj-kernel/src/algorithms/sweep/face.rs
@@ -97,12 +97,10 @@ mod tests {
         let bottom = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points(TRIANGLE)
             .build()
-            .into_face()
             .reverse();
         let top = Face::builder(&stores, surface.translate(UP, &stores))
             .with_exterior_polygon_from_points(TRIANGLE)
-            .build()
-            .into_face();
+            .build();
 
         assert!(solid.find_face(&bottom).is_some());
         assert!(solid.find_face(&top).is_some());
@@ -134,12 +132,10 @@ mod tests {
         let bottom = Face::builder(&stores, surface.translate(DOWN, &stores))
             .with_exterior_polygon_from_points(TRIANGLE)
             .build()
-            .into_face()
             .reverse();
         let top = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points(TRIANGLE)
-            .build()
-            .into_face();
+            .build();
 
         assert!(solid.find_face(&bottom).is_some());
         assert!(solid.find_face(&top).is_some());
diff --git a/crates/fj-kernel/src/algorithms/triangulate/mod.rs b/crates/fj-kernel/src/algorithms/triangulate/mod.rs
index 8c8ae8e57..5912fc12d 100644
--- a/crates/fj-kernel/src/algorithms/triangulate/mod.rs
+++ b/crates/fj-kernel/src/algorithms/triangulate/mod.rs
@@ -102,8 +102,7 @@ mod tests {
         let surface = Surface::xy_plane();
         let face = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points([a, b, c, d])
-            .build()
-            .into_face();
+            .build();
 
         let a = Point::from(a).to_xyz();
         let b = Point::from(b).to_xyz();
@@ -138,8 +137,7 @@ mod tests {
         let face = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points([a, b, c, d])
             .with_interior_polygon_from_points([e, f, g, h])
-            .build()
-            .into_face();
+            .build();
 
         let triangles = triangulate(face)?;
 
@@ -191,8 +189,7 @@ mod tests {
         let surface = Surface::xy_plane();
         let face = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points([a, b, c, d, e])
-            .build()
-            .into_face();
+            .build();
 
         let triangles = triangulate(face)?;
 
diff --git a/crates/fj-kernel/src/builder/face.rs b/crates/fj-kernel/src/builder/face.rs
index 4fc65c8d9..6dccad7b4 100644
--- a/crates/fj-kernel/src/builder/face.rs
+++ b/crates/fj-kernel/src/builder/face.rs
@@ -1,5 +1,3 @@
-use std::ops::Deref;
-
 use fj_math::Point;
 
 use crate::{
@@ -53,58 +51,10 @@ impl<'a> FaceBuilder<'a> {
     }
 
     /// Construct a polygon from a list of points
-    pub fn build(self) -> FacePolygon<'a> {
+    pub fn build(self) -> Face {
         let exterior = self
             .exterior
             .expect("Can't build `Face` without exterior cycle");
-        let face =
-            Face::new(self.surface, exterior).with_interiors(self.interiors);
-
-        FacePolygon {
-            stores: self.stores,
-            face,
-        }
-    }
-}
-
-/// A polygon
-#[derive(Clone, Debug)]
-pub struct FacePolygon<'a> {
-    stores: &'a Stores,
-    face: Face,
-}
-
-impl FacePolygon<'_> {
-    /// Add a hole to the polygon
-    pub fn with_hole(
-        mut self,
-        points: impl IntoIterator<Item = impl Into<Point<2>>>,
-    ) -> Self {
-        let surface = *self.face.surface();
-        self.face =
-            self.face
-                .with_interiors([Cycle::builder(self.stores, surface)
-                    .build_polygon_from_points(points)]);
-
-        self
-    }
-
-    /// Consume the `Polygon` and return the [`Face`] it wraps
-    pub fn into_face(self) -> Face {
-        self.face
-    }
-}
-
-impl From<FacePolygon<'_>> for Face {
-    fn from(polygon: FacePolygon) -> Self {
-        polygon.into_face()
-    }
-}
-
-impl Deref for FacePolygon<'_> {
-    type Target = Face;
-
-    fn deref(&self) -> &Self::Target {
-        &self.face
+        Face::new(self.surface, exterior).with_interiors(self.interiors)
     }
 }
diff --git a/crates/fj-kernel/src/builder/mod.rs b/crates/fj-kernel/src/builder/mod.rs
index 9bc5b153a..0c73ef261 100644
--- a/crates/fj-kernel/src/builder/mod.rs
+++ b/crates/fj-kernel/src/builder/mod.rs
@@ -13,7 +13,7 @@ pub use self::{
     curve::{CurveBuilder, GlobalCurveBuilder},
     cycle::CycleBuilder,
     edge::HalfEdgeBuilder,
-    face::{FaceBuilder, FacePolygon},
+    face::FaceBuilder,
     shell::ShellBuilder,
     sketch::SketchBuilder,
     solid::SolidBuilder,
diff --git a/crates/fj-kernel/src/builder/shell.rs b/crates/fj-kernel/src/builder/shell.rs
index 705697e9e..95107d69f 100644
--- a/crates/fj-kernel/src/builder/shell.rs
+++ b/crates/fj-kernel/src/builder/shell.rs
@@ -40,7 +40,6 @@ impl<'a> ShellBuilder<'a> {
             Face::builder(self.stores, plane)
                 .with_exterior_polygon_from_points(points)
                 .build()
-                .into_face()
         });
 
         Shell::new().with_faces(faces)
diff --git a/crates/fj-kernel/src/builder/sketch.rs b/crates/fj-kernel/src/builder/sketch.rs
index 2f993524f..7a25982fa 100644
--- a/crates/fj-kernel/src/builder/sketch.rs
+++ b/crates/fj-kernel/src/builder/sketch.rs
@@ -24,8 +24,7 @@ impl<'a> SketchBuilder<'a> {
     ) -> Sketch {
         let face = Face::builder(self.stores, self.surface)
             .with_exterior_polygon_from_points(points)
-            .build()
-            .into_face();
+            .build();
         Sketch::new().with_faces([face])
     }
 }
diff --git a/crates/fj-kernel/src/iter.rs b/crates/fj-kernel/src/iter.rs
index a38a3a3e1..477344458 100644
--- a/crates/fj-kernel/src/iter.rs
+++ b/crates/fj-kernel/src/iter.rs
@@ -404,8 +404,7 @@ mod tests {
         let surface = Surface::xy_plane();
         let object = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points([[0., 0.], [1., 0.], [0., 1.]])
-            .build()
-            .into_face();
+            .build();
 
         assert_eq!(3, object.curve_iter().count());
         assert_eq!(1, object.cycle_iter().count());
@@ -502,8 +501,7 @@ mod tests {
         let surface = Surface::xy_plane();
         let face = Face::builder(&stores, surface)
             .with_exterior_polygon_from_points([[0., 0.], [1., 0.], [0., 1.]])
-            .build()
-            .into_face();
+            .build();
         let object = Sketch::new().with_faces([face]);
 
         assert_eq!(3, object.curve_iter().count());
diff --git a/crates/fj-operations/src/sketch.rs b/crates/fj-operations/src/sketch.rs
index 2dc3e0d0f..a22893d8a 100644
--- a/crates/fj-operations/src/sketch.rs
+++ b/crates/fj-operations/src/sketch.rs
@@ -39,7 +39,6 @@ impl Shape for fj::Sketch {
                 Face::builder(stores, surface)
                     .with_exterior_polygon_from_points(points)
                     .build()
-                    .into_face()
                     .with_color(Color(self.color()))
             }
         };