Acronym	quistet
Name	quadratisnub tetratetrahedron, chiral edge faceting sidtid-0-8-12-0-b
Circumradius	sqrt(3)/2 = 0.866025
Vertex figure	[3,4,4,3/2,4], [4,4,4]
Face vector	16, 36, 20
Confer	uniform relatives: rhom   faceting of: sidtid
External links

This chiral tetrahedral polyhedron is an edge-faceting of the small ditrigonary icosidodecahedron (sidtid).

Incidence matrix

4  * |  3  0  0 |  3 0 0 [4,4,4]
* 12 |  1  2  2 |  3 1 1 [3,4,4,3/2,4]
-----+----------+-------
1  1 | 12  *  * |  2 0 0
0  2 |  * 12  * |  1 1 0
0  2 |  *  * 12 |  1 0 1
-----+----------+-------
1  3 |  2  1  1 | 12 * *
0  3 |  0  3  0 |  * 4 * {3}
0  3 |  0  0  3 |  * * 4 {3/2}