import { CellComplex } from '../geometry/cell-complex.js';
export interface Cell600Options {
    /** Circumradius (distance from center to each vertex). Default 1. */
    radius?: number;
}
/** Combinatorics of the unit-circumradius 600-cell, computed once. */
export interface Cell600Data {
    /** 120 packed 4D vertices at circumradius 1. */
    vertices: Float64Array;
    /** Adjacency lists (12 neighbors per vertex). */
    neighbors: number[][];
    /** 720 edges. */
    edges: Uint32Array;
    /** 1200 triangular faces. */
    triangles: Uint32Array;
    /** 600 tetrahedral cells. */
    tets: Uint32Array;
}
/**
 * The 600-cell's structure at unit circumradius: 120 vertices — the eight
 * ±eᵢ, the sixteen (±½,±½,±½,±½), and the ninety-six even permutations of
 * ½(±φ, ±1, ±1/φ, 0) — with edges as nearest-neighbor pairs (distance 1/φ),
 * faces as adjacent triples, and the 600 tetrahedral cells as 4-cliques.
 */
export declare function cell600Data(): Cell600Data;
/**
 * Builds the 600-cell: 120 vertices, 720 edges, 1200 triangular faces,
 * 600 tetrahedral cells — the finest of the regular polychora, and
 * natively sliceable since its cells are already tetrahedra.
 *
 * @param options - Circumradius of the returned polychoron.
 *
 * @example
 * 720 edges projected at once — a denser figure than the other regular
 * polychora, so it reads best from further back:
 * ```ts
 * const cell600 = new ProjectedEdges3D(
 *   create600Cell(),
 *   new PerspectiveProjection({ fromDim: 4, viewDistance: 3.2 })
 * );
 * scene.add(cell600.object);
 *
 * onFrame((t) =>
 *   cell600.update(
 *     new TransformN(4, rotationFromPlanes(4, [{ i: 1, j: 3, angle: t * 0.3 }]))
 *   )
 * );
 * ```
 *
 * @example
 * Its cells are already tetrahedra, so it slices without preparation —
 * unlike a cubic complex, which a slicer needs tetrahedralized first:
 * ```ts
 * const cell600 = create600Cell();
 * cell600.cellCount(3); // 600
 * ```
 */
export declare function create600Cell(options?: Cell600Options): CellComplex;
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