Acronym | haxip |
Name |
hemihexeractic prism, vertex figure of rinquoh |
Circumradius | 3/sqrt(8) = 1.060660 |
Coordinates | (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/2) & all even changes of sign in all but last coord., change of sign in last coord. |
Volume | 43/360 = 0.119444 |
Face vector | 64, 512, 1520, 1920, 1144, 340, 46 |
Confer |
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Incidence matrix according to Dynkin symbol
x x3o3o *c3o3o3o o o3o3o *c3o3o3o | 64 | 1 15 | 15 60 | 60 20 60 | 20 60 15 30 | 15 30 6 6 | 6 6 1 -----------------+----+--------+----------+-------------+-----------------+--------------+-------- x . . . . . . | 2 | 32 * ♦ 15 0 | 60 0 0 | 20 60 0 0 | 15 30 0 0 | 6 6 0 . x . . . . . | 2 | * 480 | 1 8 | 8 4 12 | 4 12 6 8 | 6 8 4 2 | 4 2 1 -----------------+----+--------+----------+-------------+-----------------+--------------+-------- x x . . . . . | 4 | 2 2 | 240 * ♦ 8 0 0 | 4 12 0 0 | 6 8 0 0 | 4 2 0 . x3o . . . . | 3 | 0 3 | * 1280 | 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 -----------------+----+--------+----------+-------------+-----------------+--------------+-------- x x3o . . . . ♦ 6 | 3 6 | 3 2 | 640 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x3o3o . . . ♦ 4 | 0 6 | 0 4 | * 320 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . x3o . *c3o . . ♦ 4 | 0 6 | 0 4 | * * 960 | 0 1 1 2 | 1 2 2 1 | 2 1 1 -----------------+----+--------+----------+-------------+-----------------+--------------+-------- x x3o3o . . . ♦ 8 | 4 12 | 6 8 | 4 2 0 | 160 * * * | 3 0 0 0 | 3 0 0 x x3o . *c3o . . ♦ 8 | 4 12 | 6 8 | 4 0 2 | * 480 * * | 1 2 0 0 | 2 1 0 . x3o3o *c3o . . ♦ 8 | 0 24 | 0 32 | 0 8 8 | * * 120 * | 1 0 2 0 | 2 0 1 . x3o . *c3o3o . ♦ 5 | 0 10 | 0 10 | 0 0 5 | * * * 384 | 0 1 1 1 | 1 1 1 -----------------+----+--------+----------+-------------+-----------------+--------------+-------- x x3o3o *c3o . . ♦ 16 | 8 48 | 24 64 | 32 16 16 | 8 8 2 0 | 60 * * * | 2 0 0 x x3o . *c3o3o . ♦ 10 | 5 20 | 10 20 | 10 0 10 | 0 5 0 2 | * 192 * * | 1 1 0 . x3o3o *c3o3o . ♦ 16 | 0 80 | 0 160 | 0 40 80 | 0 0 10 16 | * * 24 * | 1 0 1 . x3o . *c3o3o3o ♦ 6 | 0 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * 64 | 0 1 1 -----------------+----+--------+----------+-------------+-----------------+--------------+-------- x x3o3o *c3o3o . ♦ 32 | 16 160 | 80 320 | 160 80 160 | 40 80 20 32 | 10 16 2 0 | 12 * * x x3o . *c3o3o3o ♦ 12 | 6 30 | 15 40 | 20 0 30 | 0 15 0 12 | 0 6 0 2 | * 32 * . x3o3o *c3o3o3o ♦ 32 | 0 240 | 0 640 | 0 160 480 | 0 0 60 192 | 0 0 12 32 | * * 2
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