| Acronym | n,girco-dip |
| Name | n-gon - great-rhombicuboctahedron duoprism |
| Circumradius | sqrt[(13+6 sqrt(2))/4+1/(4 sin2(π/n))] |
| Face vector | 48n, 120n, 98n+48, 27n+72, n+26 |
| Especially | tragirco (n=3) squagirco (n=4) hagirco (n=6) ogirco (n=8) |
| Confer |
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Incidence matrix according to Dynkin symbol
xno x3x4x (n>2) . . . . . | 48n | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ----------+-----+-----------------+--------------------------+----------------------+--------- x . . . . | 2 | 48n * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 24n * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 24n * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 24n | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ----------+-----+-----------------+--------------------------+----------------------+--------- xno . . . | n | n 0 0 0 | 48 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . x . . | 4 | 2 2 0 0 | * 24n * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x . | 4 | 2 0 2 0 | * * 24n * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . . x | 4 | 2 0 0 2 | * * * 24n * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 8n * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 12n * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x4x | 8 | 0 0 4 4 | * * * * * * 6n | 0 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+-----------------+--------------------------+----------------------+--------- xno x . . ♦ 2n | 2n n 0 0 | 2 n 0 0 0 0 0 | 24 * * * * * * | 1 1 0 0 xno . x . ♦ 2n | 2n 0 n 0 | 2 0 n 0 0 0 0 | * 24 * * * * * | 1 0 1 0 xno . . x ♦ 2n | 2n 0 0 n | 2 0 0 n 0 0 0 | * * 24 * * * * | 0 1 1 0 x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 | * * * 8n * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 | * * * * 12n * * | 0 1 0 1 x . . x4x ♦ 16 | 8 0 8 8 | 0 0 4 4 0 0 2 | * * * * * 6n * | 0 0 1 1 . . x3x4x ♦ 48 | 0 24 24 24 | 0 0 0 0 8 12 6 | * * * * * * n | 0 0 0 2 ----------+-----+-----------------+--------------------------+----------------------+--------- xno x3x . ♦ 6n | 6n 3n 3n 0 | 6 3n 3n 0 n 0 0 | 3 3 0 n 0 0 0 | 8 * * * xno x . x ♦ 4n | 4n 2n 0 2n | 4 2n 0 2n 0 n 0 | 2 0 2 0 n 0 0 | * 12 * * xno . x4x ♦ 8n | 8n 0 4n 4n | 8 0 4n 4n 0 0 n | 0 4 4 0 0 n 0 | * * 6 * x . x3x4x ♦ 96 | 48 48 48 48 | 0 24 24 24 16 24 12 | 0 0 0 8 12 6 2 | * * * n
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