diff --git a/crates/fj-kernel/src/algorithms/intersect/curve_face.rs b/crates/fj-kernel/src/algorithms/intersect/curve_face.rs
index dd9913d7a..e41a5a5bd 100644
--- a/crates/fj-kernel/src/algorithms/intersect/curve_face.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/curve_face.rs
@@ -182,7 +182,8 @@ mod tests {
             [ 1., -1.],
         ];
 
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points(exterior)
             .with_interior_polygon_from_points(interior)
             .build();
diff --git a/crates/fj-kernel/src/algorithms/intersect/face_face.rs b/crates/fj-kernel/src/algorithms/intersect/face_face.rs
index c2d3ad063..6c13e2538 100644
--- a/crates/fj-kernel/src/algorithms/intersect/face_face.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/face_face.rs
@@ -79,7 +79,8 @@ mod tests {
         ];
         let [a, b] = [objects.surfaces.xy_plane(), objects.surfaces.xz_plane()]
             .map(|surface| {
-                Face::builder(&objects, surface)
+                Face::builder(&objects)
+                    .with_surface(surface)
                     .with_exterior_polygon_from_points(points)
                     .build()
             });
@@ -103,7 +104,8 @@ mod tests {
         let surfaces =
             [objects.surfaces.xy_plane(), objects.surfaces.xz_plane()];
         let [a, b] = surfaces.clone().map(|surface| {
-            Face::builder(&objects, surface)
+            Face::builder(&objects)
+                .with_surface(surface)
                 .with_exterior_polygon_from_points(points)
                 .build()
         });
diff --git a/crates/fj-kernel/src/algorithms/intersect/face_point.rs b/crates/fj-kernel/src/algorithms/intersect/face_point.rs
index 7e129a567..252ab7fa4 100644
--- a/crates/fj-kernel/src/algorithms/intersect/face_point.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/face_point.rs
@@ -145,7 +145,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([[0., 0.], [1., 1.], [0., 2.]])
             .build();
         let point = Point::from([2., 1.]);
@@ -159,7 +160,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([[0., 0.], [2., 1.], [0., 2.]])
             .build();
         let point = Point::from([1., 1.]);
@@ -176,7 +178,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([[4., 2.], [0., 4.], [0., 0.]])
             .build();
         let point = Point::from([1., 2.]);
@@ -193,7 +196,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [0., 0.],
                 [2., 1.],
@@ -215,7 +219,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [0., 0.],
                 [2., 1.],
@@ -237,7 +242,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [0., 0.],
                 [2., 1.],
@@ -260,7 +266,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([[0., 0.], [2., 0.], [0., 1.]])
             .build();
         let point = Point::from([1., 0.]);
@@ -286,7 +293,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([[0., 0.], [1., 0.], [0., 1.]])
             .build();
         let point = Point::from([1., 0.]);
diff --git a/crates/fj-kernel/src/algorithms/intersect/ray_face.rs b/crates/fj-kernel/src/algorithms/intersect/ray_face.rs
index 66030713c..d630f949e 100644
--- a/crates/fj-kernel/src/algorithms/intersect/ray_face.rs
+++ b/crates/fj-kernel/src/algorithms/intersect/ray_face.rs
@@ -163,7 +163,8 @@ mod tests {
         let ray = HorizontalRayToTheRight::from([0., 0., 0.]);
 
         let surface = objects.surfaces.yz_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [-1., -1.],
                 [1., -1.],
@@ -183,7 +184,8 @@ mod tests {
         let ray = HorizontalRayToTheRight::from([0., 0., 0.]);
 
         let surface = objects.surfaces.yz_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [-1., -1.],
                 [1., -1.],
@@ -206,7 +208,8 @@ mod tests {
         let ray = HorizontalRayToTheRight::from([0., 0., 0.]);
 
         let surface = objects.surfaces.yz_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [-1., -1.],
                 [1., -1.],
@@ -226,7 +229,8 @@ mod tests {
         let ray = HorizontalRayToTheRight::from([0., 0., 0.]);
 
         let surface = objects.surfaces.yz_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [-1., -1.],
                 [1., -1.],
@@ -257,7 +261,8 @@ mod tests {
         let ray = HorizontalRayToTheRight::from([0., 0., 0.]);
 
         let surface = objects.surfaces.yz_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [-1., -1.],
                 [1., -1.],
@@ -286,7 +291,8 @@ mod tests {
         let ray = HorizontalRayToTheRight::from([0., 0., 0.]);
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [-1., -1.],
                 [1., -1.],
@@ -308,7 +314,8 @@ mod tests {
         let ray = HorizontalRayToTheRight::from([0., 0., 0.]);
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([
                 [-1., -1.],
                 [1., -1.],
diff --git a/crates/fj-kernel/src/algorithms/reverse/face.rs b/crates/fj-kernel/src/algorithms/reverse/face.rs
index 4fccfe726..1ed9f2154 100644
--- a/crates/fj-kernel/src/algorithms/reverse/face.rs
+++ b/crates/fj-kernel/src/algorithms/reverse/face.rs
@@ -8,8 +8,10 @@ impl Reverse for Face {
         let interiors =
             self.interiors().map(|cycle| cycle.clone().reverse(objects));
 
-        Face::from_exterior(exterior)
+        Face::builder(objects)
+            .with_exterior(exterior)
             .with_interiors(interiors)
             .with_color(self.color())
+            .build()
     }
 }
diff --git a/crates/fj-kernel/src/algorithms/sweep/edge.rs b/crates/fj-kernel/src/algorithms/sweep/edge.rs
index bd3605cc3..e6fa94430 100644
--- a/crates/fj-kernel/src/algorithms/sweep/edge.rs
+++ b/crates/fj-kernel/src/algorithms/sweep/edge.rs
@@ -169,7 +169,10 @@ impl Sweep for (Handle<HalfEdge>, Color) {
             Cycle::new(surface, edges, objects)
         };
 
-        Face::from_exterior(cycle).with_color(color)
+        Face::builder(objects)
+            .with_exterior(cycle)
+            .with_color(color)
+            .build()
     }
 }
 
@@ -245,7 +248,7 @@ mod tests {
                 &objects,
             );
 
-            Face::from_exterior(cycle)
+            Face::builder(&objects).with_exterior(cycle).build()
         };
 
         assert_eq!(face, expected_face);
diff --git a/crates/fj-kernel/src/algorithms/sweep/face.rs b/crates/fj-kernel/src/algorithms/sweep/face.rs
index 01cf7f627..36bf806fa 100644
--- a/crates/fj-kernel/src/algorithms/sweep/face.rs
+++ b/crates/fj-kernel/src/algorithms/sweep/face.rs
@@ -102,11 +102,13 @@ mod tests {
             .build_polygon_from_points(TRIANGLE)
             .sweep(UP, &objects);
 
-        let bottom = Face::builder(&objects, surface.clone())
+        let bottom = Face::builder(&objects)
+            .with_surface(surface.clone())
             .with_exterior_polygon_from_points(TRIANGLE)
             .build()
             .reverse(&objects);
-        let top = Face::builder(&objects, surface.translate(UP, &objects))
+        let top = Face::builder(&objects)
+            .with_surface(surface.translate(UP, &objects))
             .with_exterior_polygon_from_points(TRIANGLE)
             .build();
 
@@ -134,12 +136,13 @@ mod tests {
             .build_polygon_from_points(TRIANGLE)
             .sweep(DOWN, &objects);
 
-        let bottom =
-            Face::builder(&objects, surface.clone().translate(DOWN, &objects))
-                .with_exterior_polygon_from_points(TRIANGLE)
-                .build()
-                .reverse(&objects);
-        let top = Face::builder(&objects, surface)
+        let bottom = Face::builder(&objects)
+            .with_surface(surface.clone().translate(DOWN, &objects))
+            .with_exterior_polygon_from_points(TRIANGLE)
+            .build()
+            .reverse(&objects);
+        let top = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points(TRIANGLE)
             .build();
 
diff --git a/crates/fj-kernel/src/algorithms/transform/face.rs b/crates/fj-kernel/src/algorithms/transform/face.rs
index 59b58f0df..a1050e5be 100644
--- a/crates/fj-kernel/src/algorithms/transform/face.rs
+++ b/crates/fj-kernel/src/algorithms/transform/face.rs
@@ -26,9 +26,11 @@ impl TransformObject for Face {
 
         let color = self.color();
 
-        Face::from_exterior(exterior)
+        Face::builder(objects)
+            .with_exterior(exterior)
             .with_interiors(interiors)
             .with_color(color)
+            .build()
     }
 }
 
diff --git a/crates/fj-kernel/src/algorithms/triangulate/mod.rs b/crates/fj-kernel/src/algorithms/triangulate/mod.rs
index 697818a30..7dc826434 100644
--- a/crates/fj-kernel/src/algorithms/triangulate/mod.rs
+++ b/crates/fj-kernel/src/algorithms/triangulate/mod.rs
@@ -99,7 +99,8 @@ mod tests {
         let d = [0., 1.];
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([a, b, c, d])
             .build();
 
@@ -133,7 +134,8 @@ mod tests {
         let h = [3., 1.];
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface.clone())
+        let face = Face::builder(&objects)
+            .with_surface(surface.clone())
             .with_exterior_polygon_from_points([a, b, c, d])
             .with_interior_polygon_from_points([e, f, g, h])
             .build();
@@ -193,7 +195,8 @@ mod tests {
         let e = [0., 0.8];
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface.clone())
+        let face = Face::builder(&objects)
+            .with_surface(surface.clone())
             .with_exterior_polygon_from_points([a, b, c, d, e])
             .build();
 
diff --git a/crates/fj-kernel/src/builder/face.rs b/crates/fj-kernel/src/builder/face.rs
index b63fd9cbe..3715ed32e 100644
--- a/crates/fj-kernel/src/builder/face.rs
+++ b/crates/fj-kernel/src/builder/face.rs
@@ -1,3 +1,4 @@
+use fj_interop::mesh::Color;
 use fj_math::Point;
 
 use crate::{
@@ -14,7 +15,7 @@ pub struct FaceBuilder<'a> {
     pub objects: &'a Objects,
 
     /// The surface that the [`Face`] is defined in
-    pub surface: Handle<Surface>,
+    pub surface: Option<Handle<Surface>>,
 
     /// The exterior cycle that bounds the [`Face`] on the outside
     ///
@@ -24,9 +25,24 @@ pub struct FaceBuilder<'a> {
 
     /// The interior cycles that form holes in the [`Face`]
     pub interiors: Vec<Handle<Cycle>>,
+
+    /// The color of the [`Face`]
+    pub color: Option<Color>,
 }
 
 impl<'a> FaceBuilder<'a> {
+    /// Build the [`Face`] with the provided surface
+    pub fn with_surface(mut self, surface: Handle<Surface>) -> Self {
+        self.surface = Some(surface);
+        self
+    }
+
+    /// Build the [`Face`] with the provided exterior
+    pub fn with_exterior(mut self, exterior: Handle<Cycle>) -> Self {
+        self.exterior = Some(exterior);
+        self
+    }
+
     /// Build the [`Face`] with an exterior polygon from the provided points
     pub fn with_exterior_polygon_from_points(
         mut self,
@@ -34,7 +50,7 @@ impl<'a> FaceBuilder<'a> {
     ) -> Self {
         self.exterior = Some(
             Cycle::partial()
-                .with_surface(Some(self.surface.clone()))
+                .with_surface(self.surface.clone())
                 .with_poly_chain_from_points(points)
                 .close_with_line_segment()
                 .build(self.objects),
@@ -42,6 +58,15 @@ impl<'a> FaceBuilder<'a> {
         self
     }
 
+    /// Build the [`Face`] with the provided interior polygons
+    pub fn with_interiors(
+        mut self,
+        interiors: impl IntoIterator<Item = Handle<Cycle>>,
+    ) -> Self {
+        self.interiors.extend(interiors);
+        self
+    }
+
     /// Build the [`Face`] with an interior polygon from the provided points
     pub fn with_interior_polygon_from_points(
         mut self,
@@ -49,7 +74,7 @@ impl<'a> FaceBuilder<'a> {
     ) -> Self {
         self.interiors.push(
             Cycle::partial()
-                .with_surface(Some(self.surface.clone()))
+                .with_surface(self.surface.clone())
                 .with_poly_chain_from_points(points)
                 .close_with_line_segment()
                 .build(self.objects),
@@ -57,11 +82,19 @@ impl<'a> FaceBuilder<'a> {
         self
     }
 
+    /// Build the [`Face`] with the provided color
+    pub fn with_color(mut self, color: Color) -> Self {
+        self.color = Some(color);
+        self
+    }
+
     /// Construct a polygon from a list of points
     pub fn build(self) -> Face {
         let exterior = self
             .exterior
             .expect("Can't build `Face` without exterior cycle");
-        Face::from_exterior(exterior).with_interiors(self.interiors)
+        let color = self.color.unwrap_or_default();
+
+        Face::new(exterior, self.interiors, color)
     }
 }
diff --git a/crates/fj-kernel/src/builder/shell.rs b/crates/fj-kernel/src/builder/shell.rs
index 15ba7c1b4..b56dce2a6 100644
--- a/crates/fj-kernel/src/builder/shell.rs
+++ b/crates/fj-kernel/src/builder/shell.rs
@@ -39,7 +39,8 @@ impl<'a> ShellBuilder<'a> {
                 .xy_plane()
                 .translate([Z, Z, -h], self.objects);
 
-            Face::builder(self.objects, surface)
+            Face::builder(self.objects)
+                .with_surface(surface)
                 .with_exterior_polygon_from_points([
                     [-h, -h],
                     [h, -h],
@@ -171,7 +172,7 @@ impl<'a> ShellBuilder<'a> {
                         .with_half_edges([bottom, side_up, top, side_down])
                         .build(self.objects);
 
-                    Face::from_exterior(cycle)
+                    Face::builder(self.objects).with_exterior(cycle).build()
                 });
 
             (sides, tops)
@@ -234,7 +235,9 @@ impl<'a> ShellBuilder<'a> {
                 );
             }
 
-            Face::from_exterior(Cycle::new(surface, edges, self.objects))
+            Face::builder(self.objects)
+                .with_exterior(Cycle::new(surface, edges, self.objects))
+                .build()
         };
 
         let mut faces = Vec::new();
diff --git a/crates/fj-kernel/src/builder/sketch.rs b/crates/fj-kernel/src/builder/sketch.rs
index 7ca130e94..03feb3777 100644
--- a/crates/fj-kernel/src/builder/sketch.rs
+++ b/crates/fj-kernel/src/builder/sketch.rs
@@ -22,7 +22,8 @@ impl<'a> SketchBuilder<'a> {
         self,
         points: impl IntoIterator<Item = impl Into<Point<2>>>,
     ) -> Sketch {
-        let face = Face::builder(self.objects, self.surface)
+        let face = Face::builder(self.objects)
+            .with_surface(self.surface)
             .with_exterior_polygon_from_points(points)
             .build();
         Sketch::new().with_faces([face])
diff --git a/crates/fj-kernel/src/iter.rs b/crates/fj-kernel/src/iter.rs
index 7d1d4314a..081f9458b 100644
--- a/crates/fj-kernel/src/iter.rs
+++ b/crates/fj-kernel/src/iter.rs
@@ -421,7 +421,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let object = Face::builder(&objects, surface)
+        let object = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([[0., 0.], [1., 0.], [0., 1.]])
             .build();
 
@@ -522,7 +523,8 @@ mod tests {
         let objects = Objects::new();
 
         let surface = objects.surfaces.xy_plane();
-        let face = Face::builder(&objects, surface)
+        let face = Face::builder(&objects)
+            .with_surface(surface)
             .with_exterior_polygon_from_points([[0., 0.], [1., 0.], [0., 1.]])
             .build();
         let object = Sketch::new().with_faces([face]);
diff --git a/crates/fj-kernel/src/objects/face.rs b/crates/fj-kernel/src/objects/face.rs
index ac1bf3250..da3fae686 100644
--- a/crates/fj-kernel/src/objects/face.rs
+++ b/crates/fj-kernel/src/objects/face.rs
@@ -41,66 +41,53 @@ pub struct Face {
 
 impl Face {
     /// Build a `Face` using [`FaceBuilder`]
-    pub fn builder(objects: &Objects, surface: Handle<Surface>) -> FaceBuilder {
+    pub fn builder(objects: &Objects) -> FaceBuilder {
         FaceBuilder {
             objects,
-            surface,
+            surface: None,
             exterior: None,
             interiors: Vec::new(),
+            color: None,
         }
     }
 
     /// Construct a new instance of `Face`
     ///
-    /// Creates the face with no interiors and the default color. This can be
-    /// overridden using the `with_` methods.
-    pub fn from_exterior(exterior: Handle<Cycle>) -> Self {
-        Self {
-            surface: exterior.surface().clone(),
-            exterior,
-            interiors: Vec::new(),
-            color: Color::default(),
-        }
-    }
-
-    /// Add interior cycles to the face
-    ///
-    /// Consumes the face and returns the updated instance.
-    ///
     /// # Panics
     ///
-    /// Panics, if the added cycles are not defined in the face's surface.
+    /// Panics, if the provided cycles are not defined in the same surface.
     ///
     /// Panics, if the winding of the interior cycles is not opposite that of
     /// the exterior cycle.
-    pub fn with_interiors(
-        mut self,
-        interiors: impl IntoIterator<Item = Handle<Cycle>>,
+    pub fn new(
+        exterior: Handle<Cycle>,
+        the_interiors: impl IntoIterator<Item = Handle<Cycle>>,
+        color: Color,
     ) -> Self {
-        for interior in interiors.into_iter() {
+        let surface = exterior.surface().clone();
+        let mut interiors = Vec::new();
+
+        for interior in the_interiors.into_iter() {
             assert_eq!(
-                self.surface().id(),
+                surface.id(),
                 interior.surface().id(),
                 "Cycles that bound a face must be in face's surface"
             );
             assert_ne!(
-                self.exterior().winding(),
+                exterior.winding(),
                 interior.winding(),
                 "Interior cycles must have opposite winding of exterior cycle"
             );
 
-            self.interiors.push(interior);
+            interiors.push(interior);
         }
 
-        self
-    }
-
-    /// Update the color of the face
-    ///
-    /// Consumes the face and returns the updated instance.
-    pub fn with_color(mut self, color: Color) -> Self {
-        self.color = color;
-        self
+        Self {
+            surface,
+            exterior,
+            interiors,
+            color,
+        }
     }
 
     /// Access this face's surface
diff --git a/crates/fj-operations/src/difference_2d.rs b/crates/fj-operations/src/difference_2d.rs
index dfe0c4d19..fa9916d3f 100644
--- a/crates/fj-operations/src/difference_2d.rs
+++ b/crates/fj-operations/src/difference_2d.rs
@@ -78,9 +78,11 @@ impl Shape for fj::Difference2d {
             );
 
             faces.push(
-                Face::from_exterior(exterior)
+                Face::builder(objects)
+                    .with_exterior(exterior)
                     .with_interiors(interiors)
-                    .with_color(Color(self.color())),
+                    .with_color(Color(self.color()))
+                    .build(),
             );
         }
 
diff --git a/crates/fj-operations/src/sketch.rs b/crates/fj-operations/src/sketch.rs
index 7fc914720..4c16baef7 100644
--- a/crates/fj-operations/src/sketch.rs
+++ b/crates/fj-operations/src/sketch.rs
@@ -32,16 +32,20 @@ impl Shape for fj::Sketch {
                     .build(objects);
                 let cycle = Cycle::new(surface, [half_edge], objects);
 
-                Face::from_exterior(cycle).with_color(Color(self.color()))
+                Face::builder(objects)
+                    .with_exterior(cycle)
+                    .with_color(Color(self.color()))
+                    .build()
             }
             fj::Chain::PolyChain(poly_chain) => {
                 let points =
                     poly_chain.to_points().into_iter().map(Point::from);
 
-                Face::builder(objects, surface)
+                Face::builder(objects)
+                    .with_surface(surface)
                     .with_exterior_polygon_from_points(points)
-                    .build()
                     .with_color(Color(self.color()))
+                    .build()
             }
         };