Voronoi complex of body-centered hexeractic lattice (lattice D6*)
- general polytopal classes:
- noble polytopes
links
| Acronym | traxh |
| Name |
tri-rectified hexeractic pentacomb, Voronoi complex of body-centered hexeractic lattice (lattice D6*) |
| Confer |
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Incidence matrix according to Dynkin symbol
o4o3o3x3o3o4o (N → ∞) . . . . . . . | 20N ♦ 36 | 72 72 | 48 144 48 | 6 96 96 6 | 12 64 12 | 8 8 --------------+-----+------+-----------+----------------+-------------------+-----------+---- . . . x . . . | 2 | 360N | 4 4 | 4 16 4 | 1 16 16 1 | 4 16 4 | 4 4 --------------+-----+------+-----------+----------------+-------------------+-----------+---- . . o3x . . . | 3 | 3 | 480N * | 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x3o . . | 3 | 3 | * 480N | 0 4 2 | 0 4 8 1 | 1 8 4 | 2 4 --------------+-----+------+-----------+----------------+-------------------+-----------+---- . o3o3x . . . ♦ 4 | 6 | 4 0 | 240N * * | 1 4 0 0 | 4 4 0 | 4 1 . . o3x3o . . ♦ 6 | 12 | 4 4 | * 480N * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o . ♦ 4 | 6 | 0 4 | * * 240N | 0 0 4 1 | 0 4 4 | 1 4 --------------+-----+------+-----------+----------------+-------------------+-----------+---- o4o3o3x . . . ♦ 8 | 24 | 32 0 | 16 0 0 | 15N * * * | 4 0 0 | 4 0 . o3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 192N * * | 1 2 0 | 2 1 . . o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 192N * | 0 2 1 | 1 2 . . . x3o3o4o ♦ 8 | 24 | 0 32 | 0 0 16 | * * * 15N | 0 0 4 | 0 4 --------------+-----+------+-----------+----------------+-------------------+-----------+---- o4o3o3x3o . . ♦ 40 | 240 | 320 80 | 160 80 0 | 10 32 0 0 | 6N * * | 2 0 . o3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * 64N * | 1 1 . . o3x3o3o4o ♦ 40 | 240 | 80 320 | 0 80 160 | 0 0 32 10 | * * 6N | 0 2 --------------+-----+------+-----------+----------------+-------------------+-----------+---- o4o3o3x3o3o . ♦ 160 | 1440 | 1920 960 | 960 960 240 | 60 384 192 0 | 12 64 0 | N * . o3o3x3o3o4o ♦ 160 | 1440 | 960 1920 | 240 960 960 | 0 192 384 60 | 0 64 12 | * N
or . . . . . . . | 10N ♦ 36 | 144 | 96 144 | 12 192 | 24 64 | 16 ----------------+-----+------+------+-----------+----------+--------+--- . . . x . . . | 2 | 180N | 8 | 8 16 | 2 32 | 8 16 | 8 ----------------+-----+------+------+-----------+----------+--------+--- . . o3x . . . & | 3 | 3 | 480N | 2 4 | 1 12 | 5 8 | 6 ----------------+-----+------+------+-----------+----------+--------+--- . o3o3x . . . & ♦ 4 | 6 | 4 | 240N * | 1 4 | 4 4 | 5 . . o3x3o . . ♦ 6 | 12 | 8 | * 240N | 0 4 | 2 4 | 4 ----------------+-----+------+------+-----------+----------+--------+--- o4o3o3x . . . & ♦ 8 | 24 | 32 | 16 0 | 15N * | 4 0 | 4 . o3o3x3o . . & ♦ 10 | 30 | 30 | 5 5 | * 192N | 1 2 | 3 ----------------+-----+------+------+-----------+----------+--------+--- o4o3o3x3o . . & ♦ 40 | 240 | 400 | 160 80 | 10 32 | 6N * | 2 . o3o3x3o3o . ♦ 20 | 90 | 120 | 30 30 | 0 12 | * 32N | 2 ----------------+-----+------+------+-----------+----------+--------+--- o4o3o3x3o3o . & ♦ 160 | 1440 | 2880 | 1200 960 | 60 576 | 12 64 | N
o3o3o *b3x3o3o4o (N → ∞) . . . . . . . | 40N ♦ 36 | 72 72 | 24 24 144 48 | 6 48 48 96 6 | 12 32 32 12 | 8 4 4 -----------------+-----+------+-----------+---------------------+------------------------+-----------------+------- . . . x . . . | 2 | 720N | 4 4 | 2 2 16 4 | 1 8 8 16 1 | 4 8 8 4 | 4 2 2 -----------------+-----+------+-----------+---------------------+------------------------+-----------------+------- . o . *b3x . . . | 3 | 3 | 960N * | 1 1 4 0 | 1 4 4 4 0 | 4 4 4 1 | 4 1 1 . . . x3o . . | 3 | 3 | * 960N | 0 0 4 2 | 0 2 2 8 1 | 1 4 4 4 | 2 2 2 -----------------+-----+------+-----------+---------------------+------------------------+-----------------+------- o3o . *b3x . . . ♦ 4 | 6 | 4 0 | 240N * * * | 1 4 0 0 0 | 4 4 0 0 | 4 1 0 . o3o *b3x . . . ♦ 4 | 6 | 4 0 | * 240N * * | 1 0 4 0 0 | 4 0 4 0 | 4 0 1 . o . *b3x3o . . ♦ 6 | 12 | 4 4 | * * 960N * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o3o . ♦ 4 | 6 | 0 4 | * * * 480N | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 -----------------+-----+------+-----------+---------------------+------------------------+-----------------+------- o3o3o *b3x . . . ♦ 8 | 24 | 32 0 | 8 8 0 0 | 30N * * * * | 4 0 0 0 | 4 0 0 o3o . *b3x3o . . ♦ 10 | 30 | 20 10 | 5 0 5 0 | * 192N * * * | 1 2 0 0 | 2 1 0 . o3o *b3x3o . . ♦ 10 | 30 | 20 10 | 0 5 5 0 | * * 192N * * | 1 0 2 0 | 2 0 1 . o . *b3x3o3o . ♦ 10 | 30 | 10 20 | 0 0 5 5 | * * * 384N * | 0 1 1 1 | 1 1 1 . . . x3o3o4o ♦ 8 | 24 | 0 32 | 0 0 0 16 | * * * * 30N | 0 0 0 4 | 0 2 2 -----------------+-----+------+-----------+---------------------+------------------------+-----------------+------- o3o3o *b3x3o . . ♦ 40 | 240 | 320 80 | 80 80 80 0 | 10 16 16 0 0 | 12N * * * | 2 0 0 o3o . *b3x3o3o . ♦ 20 | 90 | 60 60 | 15 0 30 15 | 0 6 0 6 0 | * 64N * * | 1 1 0 . o3o *b3x3o3o . ♦ 20 | 90 | 60 60 | 0 15 30 15 | 0 0 6 6 0 | * * 64N * | 1 0 1 . o . *b3x3o3o4o ♦ 40 | 240 | 80 320 | 0 0 80 160 | 0 0 0 32 10 | * * * 12N | 0 1 1 -----------------+-----+------+-----------+---------------------+------------------------+-----------------+------- o3o3o *b3x3o3o . ♦ 160 | 1440 | 1920 960 | 480 480 960 240 | 60 192 192 192 0 | 12 32 32 0 | 2N * * o3o . *b3x3o3o4o ♦ 160 | 1440 | 960 1920 | 240 0 960 960 | 0 192 0 384 60 | 0 64 0 12 | * N * . o3o *b3x3o3o4o ♦ 160 | 1440 | 960 1920 | 0 240 960 960 | 0 0 192 384 60 | 0 0 64 12 | * * N
o3o3o o3o3o *b3x3*e (N → ∞) . . . . . . . | 40N ♦ 36 | 72 72 | 24 24 144 24 24 | 6 48 48 48 48 6 | 12 16 16 16 16 12 | 4 4 4 4 --------------------+-----+------+-----------+--------------------------+-----------------------------+-------------------------+-------- . . . . . . x | 2 | 720N | 4 4 | 2 2 16 2 2 | 1 8 8 8 8 1 | 4 4 4 4 4 4 | 2 2 2 2 --------------------+-----+------+-----------+--------------------------+-----------------------------+-------------------------+-------- . o . . . . *b3x | 3 | 3 | 960N * | 1 1 4 0 0 | 1 4 4 2 2 0 | 4 2 2 2 2 1 | 2 2 1 1 . . . . o . x3*e | 3 | 3 | * 960N | 0 0 4 1 1 | 0 2 2 4 4 1 | 1 2 2 2 2 4 | 1 1 2 2 --------------------+-----+------+-----------+--------------------------+-----------------------------+-------------------------+-------- o3o . . . . *b3x ♦ 4 | 6 | 4 0 | 240N * * * * | 1 4 0 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0 . o3o . . . *b3x ♦ 4 | 6 | 4 0 | * 240N * * * | 1 0 4 0 0 0 | 4 0 0 2 2 0 | 2 2 0 1 . o . . o . *b3x3*e ♦ 6 | 12 | 4 4 | * * 960N * * | 0 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . o3o . x3*e ♦ 4 | 6 | 0 4 | * * * 240N * | 0 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . . o3o x3*e ♦ 4 | 6 | 0 4 | * * * * 240N | 0 0 0 0 4 1 | 0 0 2 0 2 4 | 0 1 2 2 --------------------+-----+------+-----------+--------------------------+-----------------------------+-------------------------+-------- o3o3o . . . *b3x ♦ 8 | 24 | 32 0 | 8 8 0 0 0 | 30N * * * * * | 4 0 0 0 0 0 | 2 2 0 0 o3o . . o . *b3x3*e ♦ 10 | 30 | 20 10 | 5 0 5 0 0 | * 192N * * * * | 1 1 1 0 0 0 | 1 1 1 0 . o3o . o . *b3x3*e ♦ 10 | 30 | 20 10 | 0 5 5 0 0 | * * 192N * * * | 1 0 0 1 1 0 | 1 1 0 1 . o . o3o . *b3x3*e ♦ 10 | 30 | 10 20 | 0 0 5 5 0 | * * * 192N * * | 0 1 0 1 0 1 | 1 0 1 1 . o . . o3o *b3x3*e ♦ 10 | 30 | 10 20 | 0 0 5 0 5 | * * * * 192N * | 0 0 1 0 1 1 | 0 1 1 1 . . . o3o3o x3*e ♦ 8 | 24 | 0 32 | 0 0 0 8 8 | * * * * * 30N | 0 0 0 0 0 4 | 0 0 2 2 --------------------+-----+------+-----------+--------------------------+-----------------------------+-------------------------+-------- o3o3o . o . *b3x3*e ♦ 40 | 240 | 320 80 | 80 80 80 0 0 | 10 16 16 0 0 0 | 12N * * * * * | 1 1 0 0 o3o . o3o . *b3x3*e ♦ 20 | 90 | 60 60 | 15 0 30 15 0 | 0 6 0 6 0 0 | * 32N * * * * | 1 0 1 0 o3o . . o3o *b3x3*e ♦ 20 | 90 | 60 60 | 15 0 30 0 15 | 0 6 0 0 6 0 | * * 32N * * * | 0 1 1 0 . o3o o3o . *b3x3*e ♦ 20 | 90 | 60 60 | 0 15 30 15 0 | 0 0 6 6 0 0 | * * * 32N * * | 1 0 0 1 . o3o . o3o *b3x3*e ♦ 20 | 90 | 60 60 | 0 15 30 0 15 | 0 0 6 0 6 0 | * * * * 32N * | 0 1 0 1 . o . o3o3o *b3x3*e ♦ 40 | 240 | 80 320 | 0 0 80 80 80 | 0 0 0 16 16 10 | * * * * * 12N | 0 0 1 1 --------------------+-----+------+-----------+--------------------------+-----------------------------+-------------------------+-------- o3o3o o3o . *b3x3*e ♦ 160 | 1440 | 1920 960 | 480 480 960 240 0 | 60 192 192 192 0 0 | 12 32 0 32 0 0 | N * * * o3o3o . o3o *b3x3*e ♦ 160 | 1440 | 1920 960 | 480 480 960 0 240 | 60 192 192 0 192 0 | 12 0 32 0 32 0 | * N * * o3o . o3o3o *b3x3*e ♦ 160 | 1440 | 960 1920 | 240 0 960 480 480 | 0 192 0 192 192 60 | 0 32 32 0 0 12 | * * N * . o3o o3o3o *b3x3*e ♦ 160 | 1440 | 960 1920 | 0 240 960 480 480 | 0 0 192 192 192 60 | 0 0 0 32 32 12 | * * * N
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