@holotope/three

three.js adapter for @holotope/core: turns explicit projections and cross-sections of N-dimensional geometry into ordinary three.js objects.

Picking remains connected to the source through RepresentationHitN and the representationHitFrom* adapters. Projected products return exact source-cell identity without claiming an inverse point; affine slices return exact ambient points; sampled and raymarched fields declare their approximation and first-hit policies.

• ProjectedEdges3D — the projected 1-skeleton as LineSegments
• ProjectedSurface3D — the projected 2-faces as a translucent Mesh
• SlicedComplex3D — the exact 4D cross-section, with per-triangle picking provenance
• SampledSlicedField3D — deterministic implicit-field sampling plus an inspectable approximate mesh
• DragRotation4D — pointer controls for rotating through hidden planes
• @holotope/three/webgpu — ProjectedEdgesGPU (vertex-shader 4D projection) and SlicedComplexGPU (WGSL compute-shader slicing), QuaternionJuliaGPU and BicomplexJuliaGPU (packed-point field evaluation), plus RaymarchedQuaternionJulia3D and RaymarchedBicomplexJulia3D (adaptive fragment-stage slicing) for WebGPURenderer

three (≥0.185 <0.186) is a peer dependency.

Live showcase · Repository & docs

import { PerspectiveProjection, TransformN, createHypercube, rotationFromPlanes } from '@holotope/core';
import { ProjectedEdges3D } from '@holotope/three';

const edges = new ProjectedEdges3D(
  createHypercube({ dim: 4, size: 2 }),
  new PerspectiveProjection({ fromDim: 4, viewDistance: 4 })
);
scene.add(edges.object);
// per frame:
edges.update(new TransformN(4, rotationFromPlanes(4, [{ i: 0, j: 3, angle: t }])));

MIT © Nikolay Petrov