import { CellComplex } from '../geometry/cell-complex.js';
import { type CompiledPolytope } from '../geometry/compile-lattice.js';
export interface GrandAntiprismOptions {
    /** Circumradius. Default 1. */
    radius?: number;
}
/**
 * The grand antiprism — 100 vertices, 500 edges, 720 faces (700
 * triangles + 20 pentagons), 300 tetrahedral + 20 pentagonal-antiprism
 * cells — as an exact diminishing of the 600-cell: remove the 20
 * vertices of two completely orthogonal great decagons.
 *
 * The rings are found exactly: a great decagon is a closed edge
 * geodesic obeying the chord relation v_{k+2} = φ·v_{k+1} − v_k, and
 * the orthogonal ring is the set of vertices with zero dot product
 * against the first ring's plane. Each removed vertex leaves a
 * pentagonal antiprism (its 10 surviving neighbors); the antiprisms'
 * pentagon caps are edge figures of the removed ring's edges, shared
 * between consecutive antiprisms of the same ring.
 */
export declare function createGrandAntiprism(options?: GrandAntiprismOptions): CellComplex;
/**
 * The grand antiprism with its face lattice and provenance retained.
 *
 * @param options - Circumradius of the compiled realization.
 */
export declare function createGrandAntiprismCompiled(options?: GrandAntiprismOptions): CompiledPolytope;
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