import { CellComplex } from '../geometry/cell-complex.js';
import { type CompiledPolytope } from '../geometry/compile-lattice.js';
export interface Snub24CellOptions {
    /** Circumradius. Default 1. */
    radius?: number;
}
/**
 * The snub 24-cell — 96 vertices, 432 edges, 480 triangles, 120
 * tetrahedral + 24 icosahedral cells — as an exact combinatorial
 * diminishing of the 600-cell: removing the 24 vertices of an inscribed
 * 24-cell removes 24 icosahedral pyramids, leaving their icosahedral
 * bases. The removed set is identified structurally (the unit Hurwitz
 * quaternions are the 600-cell builder's first 24 vertices — the ±eᵢ
 * and (±½,±½,±½,±½) classes), never by distance thresholds.
 *
 * The construction is uniform (every edge is a 600-cell edge). Note on
 * the often-cited "two forms": this vertex set — even permutations of
 * ½(0, ±1, ±φ, ±1/φ) with free signs — is closed under coordinate
 * negation, so the realization equals its own mirror image; the paired
 * form in the literature arises from the alternation/Galois-conjugate
 * choice, which yields a congruent polytope.
 */
export declare function createSnub24Cell(options?: Snub24CellOptions): CellComplex;
/**
 * The snub 24-cell with its face lattice and provenance retained.
 *
 * @param options - Circumradius of the compiled realization.
 */
export declare function createSnub24CellCompiled(options?: Snub24CellOptions): CompiledPolytope;
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