| Acronym | rhohid | 
| Name | rectified hexadecahemidecateron | 
| Field of sections | 
 | 
| Circumradius | 1 | 
| Vertex figure | 
 | 
| Coordinates | (1, 1, 0, 0, 0)/sqrt(2) & all permutations, all changes of sign | 
| General of army | rat | 
| Colonel of regiment | rat | 
| Face vector | 40, 240, 400, 200, 31 | 
| Confer | 
 | 
40 ♦ 12 | 24 6 | 8 6 12 | 3 2 4 -----+-----+--------+----------+-------- 2 | 240 | 4 1 | 2 2 4 | 2 1 2 -----+-----+--------+----------+-------- 3 | 3 | 320 * | 1 1 1 | 1 1 1 3 | 3 | * 80 | 0 0 4 | 2 0 2 -----+-----+--------+----------+-------- ♦ 4 | 6 | 4 0 | 80 * * | 0 1 1 ♦ 6 | 12 | 8 0 | * 40 * | 1 1 0 ♦ 6 | 12 | 4 4 | * * 80 | 1 0 1 -----+-----+--------+----------+-------- ♦ 24 | 96 | 64 32 | 0 8 16 | 5 * * ♦ 8 | 24 | 32 0 | 8 4 0 | * 10 * ♦ 10 | 30 | 20 10 | 5 0 5 | * * 16
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