| Acronym | n,grid-dip |
| Name | n-gon - great-rhombicosidodecahedron duoprism |
| Circumradius | sqrt[(31+12 sqrt(5))/4+1/(4 sin2(π/n))] |
| Face vector | 120n, 300n, 242n+120, 63n+180, n+62 |
| Especially | tragrid (n=3) squagrid (n=4) hagrid (n=6) ogrid (n=8) |
| Confer |
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Incidence matrix according to Dynkin symbol
xno x3x5x (n>2) . . . . . | 120n | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ----------+------+------------------+-----------------------------+------------------------+----------- x . . . . | 2 | 120n * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 60n * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 60n * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 60n | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ----------+------+------------------+-----------------------------+------------------------+----------- xno . . . | n | n 0 0 0 | 120 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . x . . | 4 | 2 2 0 0 | * 60n * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x . | 4 | 2 0 2 0 | * * 60n * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . . x | 4 | 2 0 0 2 | * * * 60n * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 20n * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 30n * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x5x | 10 | 0 0 5 5 | * * * * * * 12n | 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 | 60 * * * * * * | 1 1 0 0 xno . x . ♦ 2n | 2n 0 n 0 | 2 0 n 0 0 0 0 | * 60 * * * * * | 1 0 1 0 xno . . x ♦ 2n | 2n 0 0 n | 2 0 0 n 0 0 0 | * * 60 * * * * | 0 1 1 0 x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 | * * * 20n * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 | * * * * 30n * * | 0 1 0 1 x . . x5x ♦ 20 | 10 0 10 10 | 0 0 5 5 0 0 2 | * * * * * 12n * | 0 0 1 1 . . x3x5x ♦ 120 | 0 60 60 60 | 0 0 0 0 20 30 12 | * * * * * * 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 | 20 * * * xno x . x ♦ 4n | 4n 2n 0 2n | 4 2n 0 2n 0 n 0 | 2 0 2 0 n 0 0 | * 30 * * xno . x5x ♦ 10n | 10n 0 5n 5n | 10 0 5n 5n 0 0 n | 0 5 5 0 0 n 0 | * * 12 * x . x3x5x ♦ 240 | 120 120 120 120 | 0 60 60 60 40 60 24 | 0 0 0 20 30 12 2 | * * * n
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