| Acronym | n,hex-dip |
| Name | n-gon - hexadecachoron duoprism |
| Circumradius | sqrt[2+1/sin2(π/n)] |
| Face vector | 8n, 32n, 56n+8, 48n+24, 17n+32, n+16 |
| Especially | trahex (n=3) squahex (n=4) |
| Confer |
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Incidence matrix according to Dynkin symbol
xno x3o3o4o (n>2) . . . . . . | 8n | 2 6 | 1 12 12 | 6 12 8 | 12 16 1 | 8 2 ------------+----+--------+-----------+------------+----------+----- x . . . . . | 2 | 8n * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x . . . | 2 | * 24n | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 ------------+----+--------+-----------+------------+----------+----- xno . . . . | n | n 0 | 8 * * ♦ 6 0 0 | 12 0 0 | 8 0 x . x . . . | 4 | 2 2 | * 24n * | 1 4 0 | 4 4 0 | 4 1 . . x3o . . | 3 | 0 3 | * * 32n | 0 2 2 | 1 4 1 | 2 2 ------------+----+--------+-----------+------------+----------+----- xno x . . . ♦ 2n | 2n n | 2 n 0 | 24 * * | 4 0 0 | 4 0 x . x3o . . ♦ 6 | 3 6 | 0 3 2 | * 32n * | 1 2 0 | 2 1 . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * 16n | 0 2 1 | 1 2 ------------+----+--------+-----------+------------+----------+----- xno x3o . . ♦ 3n | 3n 3n | 3 3n n | 3 n 0 | 32 * * | 2 0 x . x3o3o . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 16n * | 1 1 . . x3o3o4o ♦ 8 | 0 24 | 0 0 32 | 0 0 16 | * * n | 0 2 ------------+----+--------+-----------+------------+----------+----- xno x3o3o . ♦ 4n | 4n 6n | 4 6n 4n | 6 4n n | 4 n 0 | 16 * x . x3o3o4o ♦ 16 | 8 48 | 0 24 64 | 0 32 32 | 0 16 2 | * n
xno x3o3o *d3o (n>2) . . . . . . | 8n | 2 6 | 1 12 12 | 6 12 4 4 | 12 8 8 1 | 4 4 2 ---------------+----+--------+-----------+--------------+------------+------ x . . . . . | 2 | 8n * | 1 6 0 | 6 12 0 0 | 12 4 4 0 | 4 4 1 . . x . . . | 2 | * 24n | 0 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2 ---------------+----+--------+-----------+--------------+------------+------ xno . . . . | n | n 0 | 8 * * ♦ 6 0 0 0 | 12 0 0 0 | 4 4 0 x . x . . . | 4 | 2 2 | * 24n * | 1 4 0 0 | 4 2 2 0 | 2 2 1 . . x3o . . | 3 | 0 3 | * * 32n | 0 2 1 1 | 1 2 2 1 | 1 1 2 ---------------+----+--------+-----------+--------------+------------+------ xno x . . . ♦ 2n | 2n n | 2 n 0 | 24 * * * | 4 0 0 0 | 2 2 0 x . x3o . . ♦ 6 | 3 6 | 0 3 2 | * 32n * * | 1 1 1 0 | 1 1 1 . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * 8n * | 0 2 0 1 | 1 0 2 . . x3o . *d3o ♦ 4 | 0 6 | 0 0 4 | * * * 8n | 0 0 2 1 | 0 1 2 ---------------+----+--------+-----------+--------------+------------+------ xno x3o . . ♦ 3n | 3n 3n | 3 3n n | 3 n 0 0 | 32 * * * | 1 1 0 x . x3o3o . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 0 | * 8n * * | 1 0 1 x . x3o . *d3o ♦ 8 | 4 12 | 0 6 8 | 0 4 0 2 | * * 8n * | 0 1 1 . . x3o3o *d3o ♦ 8 | 0 24 | 0 0 32 | 0 0 8 8 | * * * n | 0 0 2 ---------------+----+--------+-----------+--------------+------------+------ xno x3o3o . ♦ 4n | 4n 6n | 4 6n 4n | 6 4n n 0 | 4 n 0 0 | 8 * * xno x3o . *d3o ♦ 4n | 4n 6n | 4 6n 4n | 6 4n 0 n | 4 0 n 0 | * 8 * x . x3o3o *d3o ♦ 16 | 8 48 | 0 24 64 | 0 32 16 16 | 0 8 8 2 | * * n
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