diff --git a/crates/fj-kernel/src/algorithms/sweep.rs b/crates/fj-kernel/src/algorithms/sweep.rs
index cc78784a0..7515d9e0f 100644
--- a/crates/fj-kernel/src/algorithms/sweep.rs
+++ b/crates/fj-kernel/src/algorithms/sweep.rs
@@ -63,7 +63,7 @@ pub fn sweep(
         }
     }
 
-    Solid::from_faces(target)
+    Solid::new().with_faces(target)
 }
 
 fn create_bottom_faces(
@@ -300,7 +300,7 @@ mod tests {
             [1., 0.],
             [0., 1.],
         ]);
-        let sketch = Sketch::from_faces([face]);
+        let sketch = Sketch::new().with_faces([face]);
 
         let solid =
             super::sweep(sketch, direction, tolerance, Color([255, 0, 0, 255]));
diff --git a/crates/fj-kernel/src/algorithms/transform.rs b/crates/fj-kernel/src/algorithms/transform.rs
index 7493b8944..c187f0aba 100644
--- a/crates/fj-kernel/src/algorithms/transform.rs
+++ b/crates/fj-kernel/src/algorithms/transform.rs
@@ -102,21 +102,15 @@ impl TransformObject for GlobalVertex {
 
 impl TransformObject for Sketch {
     fn transform(self, transform: &Transform) -> Self {
-        let faces = self
-            .into_faces()
-            .into_iter()
-            .map(|face| face.transform(transform));
-        Self::from_faces(faces)
+        let faces = self.into_faces().map(|face| face.transform(transform));
+        Self::new().with_faces(faces)
     }
 }
 
 impl TransformObject for Solid {
     fn transform(self, transform: &Transform) -> Self {
-        let faces = self
-            .into_faces()
-            .into_iter()
-            .map(|face| face.transform(transform));
-        Self::from_faces(faces)
+        let faces = self.into_faces().map(|face| face.transform(transform));
+        Self::new().with_faces(faces)
     }
 }
 
diff --git a/crates/fj-kernel/src/builder/solid.rs b/crates/fj-kernel/src/builder/solid.rs
index 7e3ce29f0..53dbb45ba 100644
--- a/crates/fj-kernel/src/builder/solid.rs
+++ b/crates/fj-kernel/src/builder/solid.rs
@@ -33,6 +33,6 @@ impl SolidBuilder {
         let faces =
             planes.map(|plane| Face::build(plane).polygon_from_points(points));
 
-        Solid::from_faces(faces)
+        Solid::new().with_faces(faces)
     }
 }
diff --git a/crates/fj-kernel/src/iter.rs b/crates/fj-kernel/src/iter.rs
index ceea836cc..66d338213 100644
--- a/crates/fj-kernel/src/iter.rs
+++ b/crates/fj-kernel/src/iter.rs
@@ -397,7 +397,7 @@ mod tests {
             [1., 0.],
             [0., 1.],
         ]);
-        let object = Sketch::from_faces([face]);
+        let object = Sketch::new().with_faces([face]);
 
         assert_eq!(3, object.curve_iter().count());
         assert_eq!(1, object.cycle_iter().count());
diff --git a/crates/fj-kernel/src/objects/cycle.rs b/crates/fj-kernel/src/objects/cycle.rs
index f2f44a531..38f7db80d 100644
--- a/crates/fj-kernel/src/objects/cycle.rs
+++ b/crates/fj-kernel/src/objects/cycle.rs
@@ -13,6 +13,11 @@ pub struct Cycle {
 }
 
 impl Cycle {
+    /// Build a cycle using [`CycleBuilder`]
+    pub fn build(surface: Surface) -> CycleBuilder {
+        CycleBuilder::new(surface)
+    }
+
     /// Create a new cycle
     #[allow(clippy::new_without_default)]
     pub fn new() -> Self {
@@ -33,11 +38,6 @@ impl Cycle {
         self
     }
 
-    /// Build a cycle using [`CycleBuilder`]
-    pub fn build(surface: Surface) -> CycleBuilder {
-        CycleBuilder::new(surface)
-    }
-
     /// Access edges that make up the cycle
     pub fn edges(&self) -> impl Iterator<Item = &Edge> + '_ {
         self.edges.iter()
diff --git a/crates/fj-kernel/src/objects/edge.rs b/crates/fj-kernel/src/objects/edge.rs
index 677545277..a294f43d8 100644
--- a/crates/fj-kernel/src/objects/edge.rs
+++ b/crates/fj-kernel/src/objects/edge.rs
@@ -12,16 +12,16 @@ pub struct Edge {
 }
 
 impl Edge {
-    /// Create a new instance
-    pub fn new(curve: Local<Curve<2>>, vertices: VerticesOfEdge) -> Self {
-        Self { curve, vertices }
-    }
-
     /// Build an edge using [`EdgeBuilder`]
     pub fn build() -> EdgeBuilder {
         EdgeBuilder
     }
 
+    /// Create a new instance
+    pub fn new(curve: Local<Curve<2>>, vertices: VerticesOfEdge) -> Self {
+        Self { curve, vertices }
+    }
+
     /// Access the curve that defines the edge's geometry
     ///
     /// The edge can be a segment of the curve that is bounded by two vertices,
diff --git a/crates/fj-kernel/src/objects/face.rs b/crates/fj-kernel/src/objects/face.rs
index d8ddb42aa..a02a6d928 100644
--- a/crates/fj-kernel/src/objects/face.rs
+++ b/crates/fj-kernel/src/objects/face.rs
@@ -12,6 +12,11 @@ pub struct Face {
 }
 
 impl Face {
+    /// Build a face using [`FaceBuilder`]
+    pub fn build(surface: Surface) -> FaceBuilder {
+        FaceBuilder::new(surface)
+    }
+
     /// Construct a new instance of `Face`
     ///
     /// Creates the face with no exteriors, no interiors and the default color.
@@ -27,7 +32,7 @@ impl Face {
         }
     }
 
-    /// Contact an instance that uses triangle representation
+    /// Construct an instance that uses triangle representation
     pub fn from_triangles(triangles: TriRep) -> Self {
         Self {
             representation: Representation::TriRep(triangles),
@@ -70,11 +75,6 @@ impl Face {
         self
     }
 
-    /// Build a face using [`FaceBuilder`]
-    pub fn build(surface: Surface) -> FaceBuilder {
-        FaceBuilder::new(surface)
-    }
-
     /// Access this face's surface
     pub fn surface(&self) -> &Surface {
         &self.brep().surface
diff --git a/crates/fj-kernel/src/objects/sketch.rs b/crates/fj-kernel/src/objects/sketch.rs
index 3f63b37e5..6df790452 100644
--- a/crates/fj-kernel/src/objects/sketch.rs
+++ b/crates/fj-kernel/src/objects/sketch.rs
@@ -14,12 +14,23 @@ pub struct Sketch {
 }
 
 impl Sketch {
-    /// Construct a sketch from faces
-    pub fn from_faces(
+    /// Construct an empty instance of `Sketch`
+    pub fn new() -> Self {
+        Self {
+            faces: BTreeSet::new(),
+        }
+    }
+
+    /// Add faces to the sketch
+    ///
+    /// Consumes the sketch and returns the updated instance.
+    pub fn with_faces(
+        mut self,
         faces: impl IntoIterator<Item = impl Into<Face>>,
     ) -> Self {
-        let faces = faces.into_iter().map(Into::into).collect();
-        Self { faces }
+        let faces = faces.into_iter().map(Into::into);
+        self.faces.extend(faces);
+        self
     }
 
     /// Access the sketch's faces
@@ -28,7 +39,13 @@ impl Sketch {
     }
 
     /// Convert the sketch into a list of faces
-    pub fn into_faces(self) -> BTreeSet<Face> {
-        self.faces
+    pub fn into_faces(self) -> impl Iterator<Item = Face> {
+        self.faces.into_iter()
+    }
+}
+
+impl Default for Sketch {
+    fn default() -> Self {
+        Self::new()
     }
 }
diff --git a/crates/fj-kernel/src/objects/solid.rs b/crates/fj-kernel/src/objects/solid.rs
index a63da5e24..ce54ecd25 100644
--- a/crates/fj-kernel/src/objects/solid.rs
+++ b/crates/fj-kernel/src/objects/solid.rs
@@ -22,26 +22,43 @@ pub struct Solid {
 }
 
 impl Solid {
-    /// Construct a solid from faces
-    pub fn from_faces(
-        faces: impl IntoIterator<Item = impl Into<Face>>,
-    ) -> Self {
-        let faces = faces.into_iter().map(Into::into).collect();
-        Self { faces }
-    }
-
     /// Build a solid using [`SolidBuilder`]
     pub fn build() -> SolidBuilder {
         SolidBuilder
     }
 
+    /// Construct an empty instance of `Solid`
+    pub fn new() -> Self {
+        Self {
+            faces: BTreeSet::new(),
+        }
+    }
+
+    /// Add faces to the solid
+    ///
+    /// Consumes the solid and returns the updated instance.
+    pub fn with_faces(
+        mut self,
+        faces: impl IntoIterator<Item = impl Into<Face>>,
+    ) -> Self {
+        let faces = faces.into_iter().map(Into::into);
+        self.faces.extend(faces);
+        self
+    }
+
     /// Access the solid's faces
     pub fn faces(&self) -> impl Iterator<Item = &Face> {
         self.faces.iter()
     }
 
     /// Convert the solid into a list of faces
-    pub fn into_faces(self) -> BTreeSet<Face> {
-        self.faces
+    pub fn into_faces(self) -> impl Iterator<Item = Face> {
+        self.faces.into_iter()
+    }
+}
+
+impl Default for Solid {
+    fn default() -> Self {
+        Self::new()
     }
 }
diff --git a/crates/fj-operations/src/difference_2d.rs b/crates/fj-operations/src/difference_2d.rs
index b3fcf500f..46ce9e2c9 100644
--- a/crates/fj-operations/src/difference_2d.rs
+++ b/crates/fj-operations/src/difference_2d.rs
@@ -78,7 +78,7 @@ impl Shape for fj::Difference2d {
             );
         }
 
-        let difference = Sketch::from_faces(faces);
+        let difference = Sketch::new().with_faces(faces);
         validate(difference, config)
     }
 
diff --git a/crates/fj-operations/src/lib.rs b/crates/fj-operations/src/lib.rs
index 3efb51e72..9105f7baf 100644
--- a/crates/fj-operations/src/lib.rs
+++ b/crates/fj-operations/src/lib.rs
@@ -67,7 +67,6 @@ impl Shape for fj::Shape {
                     .compute_brep(config, tolerance, debug_info)?
                     .into_inner()
                     .into_faces()
-                    .into_iter()
                     .collect(),
                 config,
             ),
@@ -79,7 +78,6 @@ impl Shape for fj::Shape {
                     .compute_brep(config, tolerance, debug_info)?
                     .into_inner()
                     .into_faces()
-                    .into_iter()
                     .collect(),
                 config,
             ),
diff --git a/crates/fj-operations/src/sketch.rs b/crates/fj-operations/src/sketch.rs
index 0eea8f950..a774c9950 100644
--- a/crates/fj-operations/src/sketch.rs
+++ b/crates/fj-operations/src/sketch.rs
@@ -43,7 +43,7 @@ impl Shape for fj::Sketch {
             }
         };
 
-        let sketch = Sketch::from_faces([face]);
+        let sketch = Sketch::new().with_faces([face]);
         validate(sketch, config)
     }