Acronym | ..., 02,1,1,1 |
Name | hyperbolic Gosset pentacomb 02,1,1,1 |
Circumradius | sqrt(-3) = 1.732051 i |
Confer |
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Incidence matrix according to Dynkin symbol
o3x3o3o *b3o *b3o (N,M → ∞) . . . . . . | 40NM ♦ 24 | 12 24 12 12 | 12 6 6 8 12 12 6 | 4 6 6 3 4 4 6 | 2 2 3 2 ------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+------------- . x . . . . | 2 | 480NM | 1 2 1 1 | 2 1 1 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 ------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+------------- o3x . . . . | 3 | 3 | 160NM * * * | 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . x3o . . . | 3 | 3 | * 320NM * * | 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . x . . *b3o . | 3 | 3 | * * 160NM * | 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 0 . x . . . *b3o | 3 | 3 | * * * 160NM | 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+------------- o3x3o . . . ♦ 6 | 12 | 4 4 0 0 | 80NM * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 o3x . . *b3o . ♦ 6 | 12 | 4 0 4 0 | * 40NM * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 o3x . . . *b3o ♦ 6 | 12 | 4 0 0 4 | * * 40NM * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . x3o3o . . ♦ 4 | 6 | 0 4 0 0 | * * * 80NM * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x3o . *b3o . ♦ 6 | 12 | 0 4 4 0 | * * * * 80NM * * | 0 1 0 0 1 0 1 | 1 0 1 1 . x3o . . *b3o ♦ 6 | 12 | 0 4 0 4 | * * * * * 80NM * | 0 0 1 0 0 1 1 | 0 1 1 1 . x . . *b3o *b3o ♦ 6 | 12 | 0 0 4 4 | * * * * * * 40NM | 0 0 0 1 0 0 2 | 0 0 2 1 ------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+------------- o3x3o3o . . ♦ 10 | 30 | 10 20 0 0 | 5 0 0 5 0 0 0 | 16NM * * * * * * | 1 1 0 0 o3x3o . *b3o . ♦ 24 | 96 | 32 32 32 0 | 8 8 0 0 8 0 0 | * 10NM * * * * * | 1 0 1 0 o3x3o . . *b3o ♦ 24 | 96 | 32 32 0 32 | 8 0 8 0 0 8 0 | * * 10NM * * * * | 0 1 1 0 o3x . . *b3o *b3o ♦ 24 | 96 | 32 0 32 32 | 0 8 8 0 0 0 8 | * * * 5NM * * * | 0 0 2 0 . x3o3o *b3o . ♦ 10 | 30 | 0 20 10 0 | 0 0 0 5 5 0 0 | * * * * 16NM * * | 1 0 0 1 . x3o3o . *b3o ♦ 10 | 30 | 0 20 0 10 | 0 0 0 5 0 5 0 | * * * * * 16NM * | 0 1 0 1 . x3o . *b3o *b3o ♦ 24 | 96 | 0 32 32 32 | 0 0 0 0 8 8 8 | * * * * * * 10NM | 0 0 1 1 ------------------+------+-------+-------------------------+------------------------------------+-----------------------------------+------------- o3x3o3o *b3o . ♦ 80 | 480 | 160 320 160 0 | 80 40 0 80 80 0 0 | 16 10 0 0 16 0 0 | NM * * * o3x3o3o . *b3o ♦ 80 | 480 | 160 320 0 160 | 80 0 40 80 0 80 0 | 16 0 10 0 0 16 0 | * NM * * o3x3o . *b3o *b3o ♦ 12M | 96M | 32M 32M 32M 32M | 8M 8M 8M 0 8M 8M 8M | 0 M M M 0 0 M | * * 10N * . x3o3o *b3o *b3o ♦ 80 | 480 | 0 320 160 160 | 0 0 0 80 80 80 40 | 0 0 0 0 16 16 10 | * * * NM
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