Acronym | odip |
Name | octagon-octagon duoprism |
© | |
Circumradius | sqrt[2+sqrt(2)] = 1.847759 |
Volume | 4[3+2 sqrt(2)] = 23.313708 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 64, 128, 80, 16 |
Confer |
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External links |
Augmenting {4} || op onto alternating ops would lead to the srit (which would have an even larger symmetry)!
Incidence matrix according to Dynkin symbol
x8o x8o . . . . | 64 | 2 2 | 1 4 1 | 2 2 --------+----+-------+--------+---- x . . . | 2 | 64 * | 1 2 0 | 2 1 . . x . | 2 | * 64 | 0 2 1 | 1 2 --------+----+-------+--------+---- x8o . . | 8 | 8 0 | 8 * * | 2 0 x . x . | 4 | 2 2 | * 64 * | 1 1 . . x8o | 8 | 0 8 | * * 8 | 0 2 --------+----+-------+--------+---- x8o x . ♦ 16 | 16 8 | 2 8 0 | 8 * x . x8o ♦ 16 | 8 16 | 0 8 2 | * 8
or . . . . | 64 | 4 | 2 4 | 4 -----------+----+-----+-------+--- x . . . & | 2 | 128 | 1 2 | 3 -----------+----+-----+-------+--- x8o . . & | 8 | 8 | 16 * | 2 x . x . | 4 | 4 | * 64 | 2 -----------+----+-----+-------+--- x8o x . & ♦ 16 | 24 | 2 8 | 16
x4x x8o . . . . | 64 | 1 1 2 | 1 2 2 1 | 2 1 1 --------+----+----------+-----------+------ x . . . | 2 | 32 * * | 1 2 0 0 | 2 1 0 . x . . | 2 | * 32 * | 1 0 2 0 | 2 0 1 . . x . | 2 | * * 64 | 0 1 1 1 | 1 1 1 --------+----+----------+-----------+------ x4x . . | 8 | 4 4 0 | 8 * * * | 2 0 0 x . x . | 4 | 2 0 2 | * 32 * * | 1 1 0 . x x . | 4 | 0 2 2 | * * 32 * | 1 0 1 . . x8o | 8 | 0 0 8 | * * * 8 | 0 1 1 --------+----+----------+-----------+------ x4x x . ♦ 16 | 8 8 8 | 2 4 4 0 | 8 * * x . x8o ♦ 16 | 8 0 16 | 0 8 0 2 | * 4 * . x x8o ♦ 16 | 0 8 16 | 0 0 8 2 | * * 4
x4x x4x . . . . | 64 | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 --------+----+-------------+-----------------+-------- x . . . | 2 | 32 * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 32 * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 32 * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 32 | 0 0 1 0 1 1 | 0 1 1 1 --------+----+-------------+-----------------+-------- x4x . . | 8 | 4 4 0 0 | 8 * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 16 * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 16 * * * | 0 1 1 0 . x x . | 4 | 0 2 2 0 | * * * 16 * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 16 * | 0 1 0 1 . . x4x | 8 | 0 0 4 4 | * * * * * 8 | 0 0 1 1 --------+----+-------------+-----------------+-------- x4x x . ♦ 16 | 8 8 8 0 | 2 4 0 4 0 0 | 4 * * * x4x . x ♦ 16 | 8 8 0 8 | 2 0 4 0 4 0 | * 4 * * x . x4x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 2 | * * 4 * . x x4x ♦ 16 | 0 8 8 8 | 0 0 0 4 4 2 | * * * 4 snubbed forms: s4x s4x, s4x2s4x
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