Grand ditetrahedronary hexacosihecatonicosachoric antiprism

The grand ditetrahedronary hexacosihecatonicosachoric antiprism or gadtaxhiap, is a nonconvex uniform polyteron that consists of 2 grand ditetrahedronary hexacosihecatonicosachora, 120 great ditrigonary icosidodecahedral antiprisms, and 1200 pentachora. Each vertex joins 1 grand ditetrahedronary hexacosihecatonicosachoron, 4 great ditrigonary icosidodecahedral antiprisms, and 5 pentachora.

Despite the name and the relations that its bases have, it is not the conjugate of the small ditetrahedronary hexacosihecatonicosachoric antiprism. Its great ditrigonary icosidodecahedral antiprism facets pass through its center, making it a hemipolyteron; this does not occur in the small ditetrahedronary hexacosihecatonicosachoric antiprism.