Acronym disdi Name disnub disicositetrachoron Circumradius 1 Vertex figure Confer uniform relatives: sadi   rasdi   general polytopal classes: scaliform Externallinks

As abstract polytope disdi is automorph, thereby interchanging the roles of pentagons and pentagrams resp. interchanging gad and sissid as well as scuffi and scufgi.

This polychoron can be derived from a strange combination of v-sadi and f-rasdi: Inscribe into the v-ikes of the former x-sissids and into its (v-scaled) vertex figures (teddies) x-scufgies. Similarily circumscribe around the f-gikes of the latter x-gads and around its (f-scaled) vertex figures (targies) x-scuffies. Then the pentagrams will connect sissids to scufgies each, the pentagons will connect gads to scuffies each, and the triangles of the latter each will connect scuffies to scufgies each.

Incidence matrix

96    3  12  2 |  15  3  18  15 |  3  9  9  3
---+------------+----------------+------------
2 | 144   *  * |   2  2   0   2 |  1  2  2  1	pw. ortho subset of sissid-/gad-edges resp. = lattidudal edges of scuffi/scufgi = 2nd vertex layer of verf
2 |   * 576  * |   2  0   2   2 |  1  2  2  1	3rd & 4th vertex layer of verf
2 |   *   * 96 |   0  0   6   0 |  0  3  3  0	{3}-{3}-edges of scuffi/scufgi = top & bottom vertices of verf
---+------------+----------------+------------
5 |   1   4  0 | 288  *   *   * |  1  1  0  0	{5/2}
3 |   3   0  0 |   * 96   *   * |  0  1  1  0	ortho. ones of scuffi/scufgi = verf-edge (small sombreroid pentagon)-(large piscoid pentagon)
3 |   0   2  1 |   *  * 576   * |  0  1  1  0
5 |   1   4  0 |   *  *   * 288 |  0  0  1  1	{5}
---+------------+----------------+------------
12 |   6  24  0 |  12  0   0   0 | 24  *  *  *	sissid
9 |   3  12  3 |   3  1   6   0 |  * 96  *  *	scufgi
9 |   3  12  3 |   0  1   6   3 |  *  * 96  *	scuffi
12 |   6  24  0 |   0  0   0  12 |  *  *  * 24	gad