diff --git a/crates/gpu/tests/capture.rs b/crates/gpu/tests/capture.rs
index 4c618b2fc7..309c02e9d8 100644
--- a/crates/gpu/tests/capture.rs
+++ b/crates/gpu/tests/capture.rs
@@ -160,6 +160,8 @@ fn pictures_show_the_section_and_its_cap() {
         let mut cam = view::home_camera(&s).unwrap();
         cam.fov = fov;
         let mut sc = view::scene(&s, &cam).unwrap();
+        // The cap in the cap colour: a part's hatch colour is the one its name picks (#8529).
+        sc.part_hatch = None;
         // A marker inside the body, behind the cut face.
         let red = Rgb(255, 0, 0);
         sc.lines.push(SceneLine {
diff --git a/crates/kernel/tests/chamfer_curved_holder.rs b/crates/kernel/tests/chamfer_curved_holder.rs
index f45ab14a60..96196bb205 100644
--- a/crates/kernel/tests/chamfer_curved_holder.rs
+++ b/crates/kernel/tests/chamfer_curved_holder.rs
@@ -4,7 +4,7 @@
 //! against the round wall instead of extending that short seam outside the solid.
 
 use solidcraft_geom::{Loop2, Plane, Region2, Seg2, Vec2, Vec3};
-use solidcraft_kernel::{Body, BoolOp, boolean, chamfer, cylinder, extrude};
+use solidcraft_kernel::{Body, BoolOp, boolean, chamfer, cylinder, extrude, tangent_chain};
 use std::f64::consts::PI;
 
 fn holder() -> Body {
@@ -54,7 +54,9 @@ fn expected_removed(distance: f64) -> f64 {
 #[test]
 fn chamfer_the_top_lip_at_a_tangent_wall_junction() {
     let body = holder();
-    let made = chamfer(&body, &[Vec3::new(10.0, 10.0, 60.0)], 2.0).unwrap();
+    // The pick's tangent chain, as a chamfer feature selects it (the kernel blends the edges it
+    // is given).
+    let made = chamfer(&body, &tangent_chain(&body, &[Vec3::new(10.0, 10.0, 60.0)]).unwrap(), 2.0).unwrap();
     assert!(made.validity().is_empty(), "{:?}", made.validity());
     assert_eq!(made.crossed_face_loops().unwrap(), 0);
     let history = made.history().expect("the chamfer retains exact face provenance");
@@ -115,7 +117,7 @@ fn plate_with_stadium(plate: f64) -> Body {
 fn one_chamfer_pick_follows_the_tangent_chain_at_any_part_size() {
     for plate in [140.0, 145.0, 250.0] {
         let body = plate_with_stadium(plate);
-        let made = chamfer(&body, &[Vec3::new(0.0, 5.0, 20.0)], 1.0).unwrap();
+        let made = chamfer(&body, &tangent_chain(&body, &[Vec3::new(0.0, 5.0, 20.0)]).unwrap(), 1.0).unwrap();
         assert!(made.validity().is_empty(), "{:?}", made.validity());
         // Two straight edges (c^2/2 * 40 each) and both end arcs (Pappus, c^2/2 * 2 pi (R - c/3)).
         let expected = 40.0 + 0.5 * 2.0 * PI * (5.0 - 1.0 / 3.0);
diff --git a/crates/smlib/src/export/tests.rs b/crates/smlib/src/export/tests.rs
index 523d3a255f..daff933d4e 100644
--- a/crates/smlib/src/export/tests.rs
+++ b/crates/smlib/src/export/tests.rs
@@ -82,10 +82,19 @@ mod native_tests {
     fn edges_are_on_smlibs_curves() {
         let cyl = Brep::make_cylinder([0.0; 3], 5.0, 10.0).unwrap().to_native().unwrap();
         let side = cyl.faces.iter().find(|f| matches!(f.surface, b::Surface::Cylinder { .. })).unwrap();
-        assert!((side.domain[0][1] - side.domain[0][0] - TAU).abs() < 1e-12);
-        assert_eq!(side.domain[1], [0.0, 10.0]);
+        // The side is on SMLib's NURBS form of the cylinder (its domain is the form's): the whole
+        // turn, so its domain's two u ends meet, from the base to the top.
+        let form = b::eval::SurfaceEval::new(side.parameters()).unwrap();
+        let [[u0, u1], [v0, v1]] = side.domain;
+        for v in [v0, v1] {
+            let (a, z) = (form.point([u0, v]).unwrap(), form.point([u1, v]).unwrap());
+            assert!(a.dist(z) < 1e-9, "{a:?} {z:?}");
+        }
+        let heights = [form.point([u0, v0]).unwrap().z, form.point([u0, v1]).unwrap().z];
+        assert!(heights.iter().any(|h| h.abs() < 1e-9) && heights.iter().any(|h| (h - 10.0).abs() < 1e-9), "{heights:?}");
         for e in &cyl.edges {
-            let eval = b::eval::CurveEval::new(&e.curve).unwrap();
+            // Evaluated on the curve its interval is on (a circle's NURBS form).
+            let eval = b::eval::CurveEval::new(e.parameters()).unwrap();
             let [a, z] = e.interval;
             // Ends on the edge's vertices.
             for (t, v) in [(a, e.vertices[0]), (z, e.vertices[1])] {
@@ -94,6 +103,7 @@ mod native_tests {
                 assert!((p - Vec3::new(q[0], q[1], q[2])).len() < 1e-9, "{:?} at {t}", e.curve);
             }
             if let b::Curve::Circle { radius, .. } = e.curve {
+                let [a, z] = e.curve_interval().unwrap();
                 assert!((radius - 5.0).abs() < 1e-12 && (z - a - TAU).abs() < 1e-9);
             }
         }
@@ -126,7 +136,8 @@ mod native_tests {
                 p[0].abs() < 1e-9 && (p[1] - 14.5).abs() < 1e-9
             })
         };
-        let middle = |e: &b::Edge| b::eval::CurveEval::new(&e.curve).unwrap().point(0.5 * (e.interval[0] + e.interval[1])).unwrap();
+        // On the curve the interval is on (a circle's NURBS form).
+        let middle = |e: &b::Edge| b::eval::CurveEval::new(e.parameters()).unwrap().point(0.5 * (e.interval[0] + e.interval[1])).unwrap();
         let copies: Vec<&b::Edge> = record.edges.iter().filter(|e| on_line(e)).collect();
         assert_eq!(copies.len(), 2);
         for copy in copies {