Voronoi complex of body-centered penteractic lattice (lattice D5*)
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| Acronym | titanoh |
| Name |
tritruncated penteractic pentacomb, Voronoi complex of body-centered penteractic lattice (lattice D5*) |
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By virtue of an outer symmetry this is a non-quasiregular monotoxal pentacomb, that is all edges belong to the same equivalence class.
Incidence matrix according to Dynkin symbol
o4o3x3x3o4o (N → ∞) . . . . . . | 60N | 4 4 | 4 16 4 | 1 16 16 1 | 4 16 4 | 4 4 ------------+-----+-----------+--------------+-----------------+-----------+---- . . x . . . | 2 | 120N * | 2 4 0 | 1 16 8 0 | 4 8 1 | 4 2 . . . x . . | 2 | * 120N | 0 4 2 | 0 8 16 1 | 1 8 4 | 2 4 ------------+-----+-----------+--------------+-----------------+-----------+---- . o3x . . . | 3 | 3 0 | 80N * * | 1 4 0 0 | 4 4 0 | 4 1 . . x3x . . | 6 | 3 3 | * 160N * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o . | 3 | 0 3 | * * 80N | 0 0 4 1 | 0 4 4 | 1 4 ------------+-----+-----------+--------------+-----------------+-----------+---- o4o3x . . . ♦ 6 | 12 0 | 8 0 0 | 10N * * * | 4 0 0 | 4 0 . o3x3x . . ♦ 12 | 24 12 | 4 4 0 | * 80N * * | 1 2 0 | 2 1 . . x3x3o . ♦ 12 | 12 24 | 0 4 4 | * * 80N * | 0 2 1 | 1 2 . . . x3o4o ♦ 6 | 0 12 | 0 0 8 | * * * 10N | 0 0 4 | 0 4 ------------+-----+-----------+--------------+-----------------+-----------+---- o4o3x3x . . ♦ 48 | 96 24 | 64 32 0 | 8 16 0 0 | 5N * * | 2 0 . o3x3x3o . ♦ 30 | 30 30 | 10 20 10 | 0 5 5 0 | * 32N * | 1 1 . . x3x3o4o ♦ 48 | 24 96 | 0 32 64 | 0 0 16 8 | * * 5N | 0 2 ------------+-----+-----------+--------------+-----------------+-----------+---- o4o3x3x3o . ♦ 240 | 480 240 | 320 320 80 | 40 160 80 0 | 10 32 0 | N * . o3x3x3o4o ♦ 240 | 240 480 | 80 320 320 | 0 80 160 40 | 0 32 10 | * N
or . . . . . . & | 30N | 8 | 8 16 | 2 32 | 8 16 | 8 ---------------+-----+------+---------+---------+--------+-- . . x . . . & | 2 | 120N | 2 4 | 1 24 | 5 8 | 6 ---------------+-----+------+---------+---------+--------+-- . o3x . . . & | 3 | 3 | 80N * | 1 4 | 4 4 | 5 . . x3x . . | 6 | 6 | * 80N | 0 4 | 2 4 | 4 ---------------+-----+------+---------+---------+--------+-- o4o3x . . . & ♦ 6 | 12 | 8 0 | 10N * | 4 0 | 4 . o3x3x . . & ♦ 12 | 36 | 4 4 | * 80N | 1 2 | 3 ---------------+-----+------+---------+---------+--------+-- o4o3x3x . . & ♦ 48 | 120 | 64 32 | 8 16 | 5N * | 2 . o3x3x3o . ♦ 30 | 60 | 20 20 | 0 10 | * 16N | 2 ---------------+-----+------+---------+---------+--------+-- o4o3x3x3o . & ♦ 240 | 720 | 400 320 | 40 240 | 10 32 | N
o3x3o *b3x3o4o (N → ∞) . . . . . . | 120N | 8 8 | 2 2 16 4 | 1 8 8 16 1 | 4 8 8 4 | 4 2 2 ---------------+------+-----------+-------------------+----------------------+-----------------+------- . x . . . . | 2 | 240N * | 1 1 4 0 | 1 8 8 8 0 | 4 4 4 1 | 4 1 1 . . . x . . | 2 | * 240N | 0 0 4 2 | 0 4 4 16 1 | 1 4 4 4 | 2 2 2 ---------------+------+-----------+-------------------+----------------------+-----------------+------- o3x . . . . | 3 | 3 0 | 80N * * * | 1 4 0 0 0 | 4 4 0 0 | 4 1 0 . x3o . . . | 3 | 3 0 | * 80N * * | 1 0 4 0 0 | 4 0 4 0 | 4 0 1 . x . *b3x . . | 6 | 3 3 | * * 320N * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . x3o . | 3 | 0 3 | * * * 160N | 0 0 0 4 1 | 0 2 2 4 | 1 2 2 ---------------+------+-----------+-------------------+----------------------+-----------------+------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 | 20N * * * * | 4 0 0 0 | 4 0 0 o3x . *b3x . . ♦ 12 | 24 12 | 4 0 4 0 | * 80N * * * | 1 2 0 0 | 2 1 0 . x3o *b3x . . ♦ 12 | 24 12 | 0 4 4 0 | * * 80N * * | 1 0 2 0 | 2 0 1 . x . *b3x3o . ♦ 12 | 12 24 | 0 0 4 4 | * * * 160N * | 0 1 1 1 | 1 1 1 . . . x3o4o ♦ 6 | 0 12 | 0 0 0 8 | * * * * 20N | 0 0 0 4 | 0 2 2 ---------------+------+-----------+-------------------+----------------------+-----------------+------- o3x3o *b3x . . ♦ 48 | 96 24 | 32 32 32 0 | 8 8 8 0 0 | 10N * * * | 2 0 0 o3x . *b3x3o . ♦ 30 | 30 30 | 10 0 20 10 | 0 5 0 5 0 | * 32N * * | 1 1 0 . x3o *b3x3o . ♦ 30 | 30 30 | 0 10 20 10 | 0 0 5 5 0 | * * 32N * | 1 0 1 . x . *b3x3o4o ♦ 48 | 24 96 | 0 0 32 64 | 0 0 0 16 8 | * * * 10N | 0 1 1 ---------------+------+-----------+-------------------+----------------------+-----------------+------- o3x3o *b3x3o . ♦ 240 | 480 240 | 160 160 320 80 | 40 80 80 80 0 | 10 16 16 0 | 2N * * o3x . *b3x3o4o ♦ 240 | 240 480 | 80 0 320 320 | 0 80 0 160 40 | 0 32 0 10 | * N * . x3o *b3x3o4o ♦ 240 | 240 480 | 0 80 320 320 | 0 0 80 160 40 | 0 0 32 10 | * * N
o3x3o o3x3o *b3*e (N → ∞) . . . . . . | 120N | 8 8 | 2 2 16 2 2 | 1 8 8 8 8 1 | 4 4 4 4 4 4 | 2 2 2 2 ------------------+------+-----------+----------------------+-------------------------+-------------------------+-------- . x . . . . | 2 | 240N * | 1 1 4 0 0 | 1 8 8 4 4 0 | 4 2 2 2 2 1 | 2 2 1 1 . . . . x . | 2 | * 240N | 0 0 4 1 1 | 0 4 4 8 8 1 | 1 2 2 2 2 4 | 1 1 2 2 ------------------+------+-----------+----------------------+-------------------------+-------------------------+-------- o3x . . . . | 3 | 3 0 | 80N * * * * | 1 4 0 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0 . x3o . . . | 3 | 3 0 | * 80N * * * | 1 0 4 0 0 0 | 4 0 0 2 2 0 | 2 2 0 1 . x . . x . *b3*e | 6 | 3 3 | * * 320N * * | 0 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . o3x . | 3 | 0 3 | * * * 80N * | 0 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . . x3o | 3 | 0 3 | * * * * 80N | 0 0 0 0 4 1 | 0 0 2 0 2 4 | 0 1 2 2 ------------------+------+-----------+----------------------+-------------------------+-------------------------+-------- o3x3o . . . ♦ 6 | 12 0 | 4 4 0 0 0 | 20N * * * * * | 4 0 0 0 0 0 | 2 2 0 0 o3x . . x . *b3*e ♦ 12 | 24 12 | 4 0 4 0 0 | * 80N * * * * | 1 1 1 0 0 0 | 1 1 1 0 . x3o . x . *b3*e ♦ 12 | 24 12 | 0 4 4 0 0 | * * 80N * * * | 1 0 0 1 1 0 | 1 1 0 1 . x . o3x . *b3*e ♦ 12 | 12 24 | 0 0 4 4 0 | * * * 80N * * | 0 1 0 1 0 1 | 1 0 1 1 . x . . x3o *b3*e ♦ 12 | 12 24 | 0 0 4 0 4 | * * * * 80N * | 0 0 1 0 1 1 | 0 1 1 1 . . . o3x3o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * * * 20N | 0 0 0 0 0 4 | 0 0 2 2 ------------------+------+-----------+----------------------+-------------------------+-------------------------+-------- o3x3o . x . *b3*e ♦ 48 | 96 24 | 32 32 32 0 0 | 8 8 8 0 0 0 | 10N * * * * * | 1 1 0 0 o3x . o3x . *b3*e ♦ 30 | 30 30 | 10 0 20 10 0 | 0 5 0 5 0 0 | * 16N * * * * | 1 0 1 0 o3x . . x3o *b3*e ♦ 30 | 30 30 | 10 0 20 0 10 | 0 5 0 0 5 0 | * * 16N * * * | 0 1 1 0 . x3o o3x . *b3*e ♦ 30 | 30 30 | 0 10 20 10 0 | 0 0 5 5 0 0 | * * * 16N * * | 1 0 0 1 . x3o . x3o *b3*e ♦ 30 | 30 30 | 0 10 20 0 10 | 0 0 5 0 5 0 | * * * * 16N * | 0 1 0 1 . x . o3x3o *b3*e ♦ 48 | 24 96 | 0 0 32 32 32 | 0 0 0 8 8 8 | * * * * * 10N | 0 0 1 1 ------------------+------+-----------+----------------------+-------------------------+-------------------------+-------- o3x3o o3x . *b3*e ♦ 240 | 480 240 | 160 160 320 80 0 | 40 80 80 80 0 0 | 10 16 0 16 0 0 | N * * * o3x3o . x3o *b3*e ♦ 240 | 480 240 | 160 160 320 0 80 | 40 80 80 0 80 0 | 10 0 16 0 16 0 | * N * * o3x . o3x3o *b3*e ♦ 240 | 240 480 | 80 0 320 160 160 | 0 80 0 80 80 40 | 0 16 16 0 0 10 | * * N * . x3o o3x3o *b3*e ♦ 240 | 240 480 | 0 80 320 160 160 | 0 0 80 80 80 40 | 0 0 0 16 16 10 | * * * N
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