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Build or modify Rust4D primitives and tetrahedral meshes. Use when touching rust4d_math::Mesh4D, primitives, Tesseract4D, ShapeTemplate geometry variants, or any code that creates 4D tetrahedra for slicing.
Codex または Claude でインストール この Prompt をコピーして Codex、Claude、または他のアシスタントに貼り付けると、Skill ページを確認してインストールできます。
SOC 職業分類に基づく
Run autonomous visual checks for Rust4D rendering changes. Use after touching WGSL shaders, RenderUniforms, camera projection, slice pipeline, primitives, or examples that affect rendering.
Final quality gate for Rust4D feature branches. Use before PRs, releases, or after broad engine changes. Covers formatting, tests, clippy, rustdoc, visual captures, docs, and scratchpad handoff.
Rust4D math, matrix, rotation, and GPU layout conventions. Use when editing rust4d_math, Camera4D, WGSL shaders, projection matrices, GPU uniform structs, or anything passing matrices between Rust and the GPU. Prevents convention-mismatch bugs (row/column major, depth range, rotation planes, struct layout).
Verify the slice-plane invariant when changing Rust4D camera, movement, physics, or rendering code. Use before and after touching Camera4D, CharacterController4D, SimulationSystem, the slice shader, projection, or movement input handling. Explains the invariant, why it breaks, the regression tests, and the headless visual verification workflow.
| name | 4d-geometry |
| description | Build or modify Rust4D primitives and tetrahedral meshes. Use when touching rust4d_math::Mesh4D, primitives, Tesseract4D, ShapeTemplate geometry variants, or any code that creates 4D tetrahedra for slicing. |
Rust4D renders 3D slices of 4D boundary meshes. The renderer wants a closed 3-manifold embedded in 4D, decomposed into tetrahedra. If a primitive is not structurally watertight, the GPU will show cracks, T-junctions, missing faces, or interior membranes when sliced.
Mesh4D where possible.mesh.validate() — catches out-of-bounds and repeated cell indices.mesh.is_watertight() — every triangular face must be shared by exactly
two tetrahedra.mesh.surface_volume():
cargo run --example shape_showcase .scratchpad/captures-gallery
and inspect captures.For composite curved shapes, shared vertices must share global indices before
splitting prisms. Use the VertexPool pattern from primitives/curved.rs.
Do not rely on post-hoc welding to fix seams: welding after splitting does not
fix mismatched quad diagonals.
Use primitives::extrude::split_prism, which applies the Dompierre
lowest-global-index rule so neighboring prisms choose the same diagonals on
shared quad faces.
The tesseract must emit only its 48 boundary tetrahedra. The old 84-tet Kuhn surface included 36 internal membranes, wasting slice work and rendering spurious interior walls. Any future tesseract edit must keep:
assert_eq!(Tesseract4D::new(2.0).tetrahedra().len(), 48);
assert!(Mesh4D::from(&tess as &dyn ConvexShape4D).is_watertight());
docs/4d-math.md — slicing and matrix conventionsdocs/shapes.md — shape catalog (when updated).agents/skills/headless-visual-verification — GPU capture workflow