diff --git a/docs/csg-performance-fixtures.md b/docs/csg-performance-fixtures.md
index 524c4be..1014e9b 100644
--- a/docs/csg-performance-fixtures.md
+++ b/docs/csg-performance-fixtures.md
@@ -19,9 +19,17 @@ The script builds `vg_csg` in release mode and writes JSONL to
 - emitted triangle, fragment, and warning counts
 - demand-frontier `candidate_pairs` and `rejected_pairs`
 
-The `vg_csg` fixture measures the stable-tree path after warmup. `Assembler`
-caches evaluated output by generation, so repeated `build()` calls on an
-unchanged graph return the cached mesh. Dirty generations still rebuild.
+The `vg_csg` fixture measures:
+
+- `stable`: cached output after warmup
+- `dirty`: full rebuild through the current ordered assembler
+- `routed`: experimental surface-router rebuild, falling back to the ordered
+  assembler outside its current single-source, single-candidate subtractive
+  convex contract. The fixture only emits routed records for supported cases.
+
+`Assembler` caches evaluated output by generation, so repeated `build()` calls
+on an unchanged graph return the cached mesh. Dirty and routed generations
+still rebuild.
 
 ## Scenarios
 
@@ -91,6 +99,17 @@ new kernel path; they expose the ordered brush stream as affected source/operato
 pairs and rejected bounds pairs so future router/index work can prove it is
 refusing real work rather than merely rearranging it.
 
+The first routed surface experiment is intentionally narrow. It cleans a single
+subtractive convex cut into boundary polygons instead of closed fragment boxes,
+but dense repeated cutters currently create surface-piece explosion. Keep dense
+rotated subtraction on the ordered kernel until the category router has compact
+frontier batching and scratch storage.
+
+Current routed lesson: for `single_center_cut`, routed output emits 48 boundary
+triangles instead of the fragment carver's 72 closed-fragment triangles. That is
+cleaner surface output, not yet faster output. The implementation still moves
+owned polygon vectors around, so it is a topology proof before it is a hot path.
+
 ## Latest Local Baseline
 
 Captured on 2026-05-07 with `.\tools\run_csg_perf.ps1 -UseRealtimeCsgCpp`:
diff --git a/examples/csg_perf_fixture.rs b/examples/csg_perf_fixture.rs
index 20c092c..9b370ec 100644
--- a/examples/csg_perf_fixture.rs
+++ b/examples/csg_perf_fixture.rs
@@ -41,6 +41,7 @@ fn main() {
     for case in cases {
         run_case(case, PerfMode::Stable);
         run_case(case, PerfMode::Dirty);
+        run_case(case, PerfMode::Routed);
     }
 }
 
@@ -55,6 +56,7 @@ struct PerfCase {
 enum PerfMode {
     Stable,
     Dirty,
+    Routed,
 }
 
 impl PerfMode {
@@ -62,6 +64,7 @@ impl PerfMode {
         match self {
             Self::Stable => "stable",
             Self::Dirty => "dirty",
+            Self::Routed => "routed",
         }
     }
 
@@ -69,12 +72,16 @@ impl PerfMode {
         match self {
             Self::Stable => assembler.build(),
             Self::Dirty => assembler.rebuild(),
+            Self::Routed => assembler.rebuild_routed_surfaces(),
         }
     }
 }
 
 fn run_case(case: PerfCase, mode: PerfMode) {
     let assembler = (case.build)();
+    if matches!(mode, PerfMode::Routed) && !assembler.supports_routed_surfaces() {
+        return;
+    }
     let warmup = mode.build(&assembler);
     black_box(warmup.mesh.triangle_count());
 
diff --git a/src/assembler.rs b/src/assembler.rs
index 35251e0..a854138 100644
--- a/src/assembler.rs
+++ b/src/assembler.rs
@@ -3,7 +3,7 @@ use std::cell::RefCell;
 use bevy_math::Vec3;
 
 use crate::{
-    Aabb, Brush, BrushId, BrushOp, ConvexSolid, MaterialId, Primitive, TriangleMesh,
+    Aabb, Brush, BrushId, BrushOp, ConvexPolygon, ConvexSolid, MaterialId, Primitive, TriangleMesh,
     append_cylinder_z, append_dome_cap_z, append_floret_arm,
     primitives::{DomeCapZSpec, FloretArmSpec},
 };
@@ -183,6 +183,111 @@ impl Assembler {
         self.build_uncached()
     }
 
+    pub fn rebuild_routed_surfaces(&self) -> BuildOutput {
+        self.try_build_routed_surfaces()
+            .unwrap_or_else(|| self.build_uncached())
+    }
+
+    pub fn supports_routed_surfaces(&self) -> bool {
+        self.supports_routed_surface_subset()
+    }
+
+    fn try_build_routed_surfaces(&self) -> Option<BuildOutput> {
+        if !self.supports_routed_surface_subset() {
+            return None;
+        }
+
+        let mut report = BuildReport {
+            input_brushes: self.brushes.len(),
+            ..BuildReport::default()
+        };
+        let mut source = None::<ConvexSolid>;
+        let mut surfaces = Vec::<ConvexPolygon>::new();
+        let mut previous_cutters = Vec::<ConvexSolid>::new();
+
+        for brush in &self.compiled {
+            match brush.op {
+                BrushOp::Add => {
+                    if source.is_some() {
+                        return None;
+                    }
+                    let solid = brush.convex_cutter()?;
+                    surfaces = solid.polygons.clone();
+                    source = Some(solid);
+                }
+                BrushOp::Subtract => {
+                    report.operator_brushes += 1;
+                    let source_solid = source.as_ref()?;
+                    if !source_solid.bounds.intersects(brush.bounds) {
+                        report.rejected_pairs += 1;
+                        continue;
+                    }
+                    let cutter = brush.convex_cutter()?;
+                    report.candidate_pairs += 1;
+                    surfaces = ConvexSolid::route_polygons_outside_of(surfaces, &cutter);
+
+                    let mut caps = ConvexSolid::route_polygons_inside_of(
+                        cutter.polygons.clone(),
+                        source_solid,
+                    );
+                    for previous in &previous_cutters {
+                        caps = ConvexSolid::route_polygons_outside_of(caps, previous);
+                    }
+                    for cap in &mut caps {
+                        cap.material = source_solid.material;
+                        cap.reversed = !cap.reversed;
+                    }
+                    surfaces.extend(caps);
+                    previous_cutters.push(cutter);
+                }
+                BrushOp::Intersect => return None,
+            }
+        }
+
+        let mut mesh = TriangleMesh::new();
+        ConvexSolid::append_polygons_to_mesh(&surfaces, &mut mesh);
+        report.emitted_convex_fragments = surfaces.len();
+
+        Some(BuildOutput {
+            mesh,
+            report,
+            generation: self.generation,
+        })
+    }
+
+    fn supports_routed_surface_subset(&self) -> bool {
+        let mut source = None::<Aabb>;
+        let mut candidate_subtracts = 0usize;
+
+        for brush in &self.compiled {
+            match brush.op {
+                BrushOp::Add => {
+                    if source.is_some() || brush.convex_cutter().is_none() {
+                        return false;
+                    }
+                    source = Some(brush.bounds);
+                }
+                BrushOp::Subtract => {
+                    let Some(source_bounds) = source else {
+                        return false;
+                    };
+                    if brush.convex_cutter().is_none() {
+                        return false;
+                    }
+                    if source_bounds.intersects(brush.bounds) {
+                        candidate_subtracts += 1;
+                        if candidate_subtracts > 1 {
+                            return false;
+                        }
+                    }
+                }
+                BrushOp::Intersect => return false,
+            }
+        }
+
+        source.is_some() && candidate_subtracts == 1
+    }
+
     fn build_uncached(&self) -> BuildOutput {
         if self
             .compiled
@@ -691,4 +796,118 @@ mod tests {
         assert_eq!(cached.mesh.positions, stable.mesh.positions);
         assert_eq!(cached.mesh.indices, stable.mesh.indices);
     }
+
+    #[test]
+    fn routed_surface_rebuild_emits_clean_center_cut_boundary() {
+        let mut asm = Assembler::new();
+        let cutter = Aabb::from_center_size(Vec3::ZERO, Vec3::splat(2.0));
+        asm.solid_box(
+            "source",
+            Aabb::from_center_size(Vec3::ZERO, Vec3::splat(4.0)),
+            MaterialId(1),
+        );
+        asm.cut_box("void", cutter);
+
+        let routed = asm.rebuild_routed_surfaces();
+
+        assert_eq!(routed.report.operator_brushes, 1);
+        assert_eq!(routed.report.candidate_pairs, 1);
+        assert_eq!(routed.report.rejected_pairs, 0);
+        assert_eq!(routed.report.emitted_convex_fragments, 24);
+        assert!(routed.mesh.triangle_count() < asm.rebuild().mesh.triangle_count());
+        for tri in routed.mesh.indices.chunks_exact(3) {
+            let center = (routed.mesh.positions[tri[0] as usize]
+                + routed.mesh.positions[tri[1] as usize]
+                + routed.mesh.positions[tri[2] as usize])
+                / 3.0;
+            assert!(!cutter.contains_point_strict(center, 1.0e-4));
+        }
+    }
+
+    #[test]
+    fn routed_surface_rebuild_falls_back_for_intersections() {
+        let mut asm = Assembler::new();
+        asm.solid_box(
+            "source",
+            Aabb::from_center_size(Vec3::ZERO, Vec3::splat(4.0)),
+            MaterialId(1),
+        );
+        asm.add_brush(
+            "common",
+            BrushOp::Intersect,
+            Primitive::Box {
+                bounds: Aabb::from_center_size(Vec3::X, Vec3::splat(4.0)),
+            },
+            MaterialId(1),
+        );
+
+        let stable = asm.rebuild();
+        let routed = asm.rebuild_routed_surfaces();
+
+        assert_eq!(
+            routed.report.emitted_convex_fragments,
+            stable.report.emitted_convex_fragments
+        );
+        assert_eq!(routed.mesh.triangle_count(), stable.mesh.triangle_count());
+        assert_eq!(routed.mesh.positions, stable.mesh.positions);
+        assert_eq!(routed.mesh.indices, stable.mesh.indices);
+    }
+
+    #[test]
+    fn routed_surface_rebuild_falls_back_for_multiple_candidate_cutters() {
+        let mut asm = Assembler::new();
+        asm.solid_box(
+            "source",
+            Aabb::from_center_size(Vec3::ZERO, Vec3::splat(4.0)),
+            MaterialId(1),
+        );
+        asm.cut_oriented_box(
+            "a",
+            Vec3::new(-0.5, 0.0, 0.0),
+            Vec3::new(1.0, 5.0, 5.0),
+            bevy_math::Quat::from_rotation_z(0.25),
+        );
+        asm.cut_oriented_box(
+            "b",
+            Vec3::new(0.5, 0.0, 0.0),
+            Vec3::new(1.0, 5.0, 5.0),
+            bevy_math::Quat::from_rotation_z(-0.25),
+        );
+
+        let stable = asm.rebuild();
+        let routed = asm.rebuild_routed_surfaces();
+
+        assert_eq!(
+            routed.report.emitted_convex_fragments,
+            stable.report.emitted_convex_fragments
+        );
+        assert_eq!(routed.mesh.triangle_count(), stable.mesh.triangle_count());
+        assert_eq!(routed.mesh.positions, stable.mesh.positions);
+        assert_eq!(routed.mesh.indices, stable.mesh.indices);
+    }
+
+    #[test]
+    fn routed_surface_rebuild_falls_back_when_no_cutter_touches_source() {
+        let mut asm = Assembler::new();
+        asm.solid_box(
+            "source",
+            Aabb::from_center_size(Vec3::ZERO, Vec3::splat(4.0)),
+            MaterialId(1),
+        );
+        asm.cut_box(
+            "far",
+            Aabb::from_center_size(Vec3::splat(20.0), Vec3::splat(2.0)),
+        );
+
+        let stable = asm.rebuild();
+        let routed = asm.rebuild_routed_surfaces();
+
+        assert_eq!(
+            routed.report.emitted_convex_fragments,
+            stable.report.emitted_convex_fragments
+        );
+        assert_eq!(routed.mesh.triangle_count(), stable.mesh.triangle_count());
+        assert_eq!(routed.mesh.positions, stable.mesh.positions);
+        assert_eq!(routed.mesh.indices, stable.mesh.indices);
+    }
 }
diff --git a/src/convex.rs b/src/convex.rs
index 5bf3f1c..3b98ddc 100644
--- a/src/convex.rs
+++ b/src/convex.rs
@@ -256,39 +256,75 @@ impl ConvexSolid {
     }
 
     pub fn categorize_polygons_against(&self, cutter: &Self) -> CategorizedPolygons {
-        let mut categorized = CategorizedPolygons::default();
+        categorize_polygon_list_against(&self.polygons, cutter)
+    }
 
-        for polygon in &self.polygons {
-            let mut pieces = vec![CategorizationPiece {
-                polygon: polygon.clone(),
-                aligned_category: None,
-            }];
+    pub fn route_polygons_outside_of(
+        polygons: Vec<ConvexPolygon>,
+        cutter: &Self,
+    ) -> Vec<ConvexPolygon> {
+        let categorized = categorize_polygon_list_against(&polygons, cutter);
+        categorized.outside
+    }
 
-            for plane in &cutter.clip_planes {
-                let mut inside_pieces = Vec::new();
-                for piece in pieces {
-                    classify_piece_against_plane(
-                        piece,
-                        *plane,
-                        &mut inside_pieces,
-                        &mut categorized,
-                    );
-                }
-                pieces = inside_pieces;
-            }
+    pub fn route_polygons_inside_of(
+        polygons: Vec<ConvexPolygon>,
+        cutter: &Self,
+    ) -> Vec<ConvexPolygon> {
+        let categorized = categorize_polygon_list_against(&polygons, cutter);
+        let mut inside = categorized.inside;
+        inside.extend(categorized.aligned);
+        inside.extend(categorized.reverse_aligned);
+        inside
+    }
 
-            for piece in pieces {
-                match piece.aligned_category {
-                    Some(PolygonCategory::Aligned) => categorized.aligned.push(piece.polygon),
-                    Some(PolygonCategory::ReverseAligned) => {
-                        categorized.reverse_aligned.push(piece.polygon);
-                    }
-                    _ => categorized.inside.push(piece.polygon),
-                }
-            }
+    pub fn subtract_convex_routed_polygons(&self, cutter: &Self) -> Vec<ConvexPolygon> {
+        let mut polygons = Vec::new();
+        let source = self.categorize_polygons_against(cutter);
+        polygons.extend(source.outside);
+
+        let cutter_inside_source = cutter.categorize_polygons_against(self);
+        for mut polygon in cutter_inside_source.inside {
+            polygon.reversed = !polygon.reversed;
+            polygons.push(polygon);
+        }
+        for mut polygon in cutter_inside_source.aligned {
+            polygon.reversed = !polygon.reversed;
+            polygons.push(polygon);
+        }
+        for mut polygon in cutter_inside_source.reverse_aligned {
+            polygon.reversed = !polygon.reversed;
+            polygons.push(polygon);
         }
 
-        categorized
+        polygons
+    }
+
+    pub fn append_polygons_to_mesh(polygons: &[ConvexPolygon], mesh: &mut TriangleMesh) {
+        for polygon in polygons {
+            if !polygon.visible || polygon.vertices.len() < 3 {
+                continue;
+            }
+            let base = polygon.vertices[0];
+            for i in 1..polygon.vertices.len() - 1 {
+                let triangle = if polygon.reversed {
+                    [base, polygon.vertices[i + 1], polygon.vertices[i]]
+                } else {
+                    [base, polygon.vertices[i], polygon.vertices[i + 1]]
+                };
+                let normal = if polygon.reversed {
+                    -polygon.normal
+                } else {
+                    polygon.normal
+                };
+                mesh.append_triangle(
+                    triangle,
+                    normal,
+                    [Vec2::ZERO, Vec2::X, Vec2::Y],
+                    polygon.material,
+                );
+            }
+        }
     }
 
     fn split_owned(self, plane: Plane) -> SplitResult {
@@ -348,6 +384,40 @@ impl ConvexSolid {
     }
 }
 
+fn categorize_polygon_list_against(
+    polygons: &[ConvexPolygon],
+    cutter: &ConvexSolid,
+) -> CategorizedPolygons {
+    let mut categorized = CategorizedPolygons::default();
+
+    for polygon in polygons {
+        let mut pieces = vec![CategorizationPiece {
+            polygon: polygon.clone(),
+            aligned_category: None,
+        }];
+
+        for plane in &cutter.clip_planes {
+            let mut inside_pieces = Vec::new();
+            for piece in pieces {
+                classify_piece_against_plane(piece, *plane, &mut inside_pieces, &mut categorized);
+            }
+            pieces = inside_pieces;
+        }
+
+        for piece in pieces {
+            match piece.aligned_category {
+                Some(PolygonCategory::Aligned) => categorized.aligned.push(piece.polygon),
+                Some(PolygonCategory::ReverseAligned) => {
+                    categorized.reverse_aligned.push(piece.polygon);
+                }
+                _ => categorized.inside.push(piece.polygon),
+            }
+        }
+    }
+
+    categorized
+}
+
 enum SplitResult {
     Front(ConvexSolid),
     Back(ConvexSolid),
@@ -731,4 +801,76 @@ mod tests {
                 .any(|polygon| polygon.normal.x.abs() > 0.01 && polygon.normal.y.abs() > 0.01)
         }));
     }
+
+    #[test]
+    fn routed_subtraction_emits_source_shell_and_reversed_cutter_shell() {
+        let source = ConvexSolid::box_from_center_size(
+            Vec3::ZERO,
+            Vec3::splat(4.0),
+            Quat::IDENTITY,
+            MaterialId(1),
+        );
+        let cutter = ConvexSolid::box_from_center_size(
+            Vec3::ZERO,
+            Vec3::splat(2.0),
+            Quat::IDENTITY,
+            MaterialId(0),
+        );
+
+        let routed = source.subtract_convex_routed_polygons(&cutter);
+
+        assert_eq!(routed.len(), 24);
+        assert_eq!(
+            routed
+                .iter()
+                .filter(|polygon| polygon.material == MaterialId(1))
+                .count(),
+            18
+        );
+        assert_eq!(
+            routed
+                .iter()
+                .filter(|polygon| polygon.material == MaterialId(0))
+                .count(),
+            6
+        );
+        assert_eq!(
+            routed
+                .iter()
+                .filter(|polygon| polygon.material == MaterialId(0) && polygon.reversed)
+                .count(),
+            6
+        );
+    }
+
+    #[test]
+    fn routed_subtraction_clips_crossing_cutter_surfaces_to_source() {
+        let source = ConvexSolid::box_from_center_size(
+            Vec3::ZERO,
+            Vec3::splat(4.0),
+            Quat::IDENTITY,
+            MaterialId(1),
+        );
+        let cutter = ConvexSolid::box_from_center_size(
+            Vec3::new(1.5, 0.0, 0.0),
+            Vec3::splat(2.0),
+            Quat::IDENTITY,
+            MaterialId(0),
+        );
+
+        let routed = source.subtract_convex_routed_polygons(&cutter);
+
+        assert!(!routed.is_empty());
+        assert!(
+            routed
+                .iter()
+                .flat_map(|polygon| polygon.vertices.iter())
+                .all(|vertex| source.bounds.contains_point(*vertex))
+        );
+        assert!(
+            routed
+                .iter()
+                .any(|polygon| polygon.material == MaterialId(0) && polygon.reversed)
+        );
+    }
 }