Acronym | scadip |
Name | small-cellated-dodecateric prism |
Circumradius | sqrt(5)/2 = 1.118034 |
Volume | 21 sqrt(3)/40 = 0.909327 |
Face vector | 60, 270, 540, 570, 304, 64 |
Confer |
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Incidence matrix according to Dynkin symbol
x x3o3o3o3x . . . . . . | 60 | 1 4 4 | 4 4 6 12 6 | 6 12 6 4 12 12 4 | 4 12 12 4 1 4 6 4 1 | 1 4 6 4 1 1 ------------+----+------------+-------------------+------------------------+----------------------------+--------------- x . . . . . | 2 | 30 * * | 4 4 0 0 0 | 6 12 6 0 0 0 0 | 4 12 12 4 0 0 0 0 0 | 1 4 6 4 1 0 . x . . . . | 2 | * 120 * | 1 0 3 3 0 | 3 3 0 3 6 3 0 | 3 6 3 0 1 3 3 1 0 | 1 3 3 1 0 1 . . . . . x | 2 | * * 120 | 0 1 0 3 3 | 0 3 3 0 3 6 3 | 0 3 6 3 0 1 3 3 1 | 0 1 3 3 1 1 ------------+----+------------+-------------------+------------------------+----------------------------+--------------- x x . . . . | 4 | 2 2 0 | 60 * * * * | 3 3 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 | 1 3 3 1 0 0 x . . . . x | 4 | 2 0 2 | * 60 * * * | 0 3 3 0 0 0 0 | 0 3 6 3 0 0 0 0 0 | 0 1 3 3 1 0 . x3o . . . | 3 | 0 3 0 | * * 120 * * | 1 0 0 2 2 0 0 | 2 2 0 0 1 2 1 0 0 | 1 2 1 0 0 1 . x . . . x | 4 | 0 2 2 | * * * 180 * | 0 1 0 0 2 2 0 | 0 2 2 0 0 1 2 1 0 | 0 1 2 1 0 1 . . . . o3x | 3 | 0 0 3 | * * * * 120 | 0 0 1 0 0 2 2 | 0 0 2 2 0 0 1 2 1 | 0 0 1 2 1 1 ------------+----+------------+-------------------+------------------------+----------------------------+--------------- x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 60 * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x x . . . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 90 * * * * * | 0 2 2 0 0 0 0 0 0 | 0 1 2 1 0 0 x . . . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 60 * * * * | 0 0 2 2 0 0 0 0 0 | 0 0 1 2 1 0 . x3o3o . . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 60 * * * | 1 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . x3o . . x ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * * 120 * * | 0 1 0 0 0 1 1 0 0 | 0 1 1 0 0 1 . x . . o3x ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * * 120 * | 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1 . . . o3o3x ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * * 60 | 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ------------+----+------------+-------------------+------------------------+----------------------------+--------------- x x3o3o . . ♦ 8 | 4 12 0 | 6 0 8 0 0 | 4 0 0 2 0 0 0 | 30 * * * * * * * * | 1 1 0 0 0 0 x x3o . . x ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 0 2 0 0 | * 60 * * * * * * * | 0 1 1 0 0 0 x x . . o3x ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 0 2 0 | * * 60 * * * * * * | 0 0 1 1 0 0 x . . o3o3x ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 0 2 | * * * 30 * * * * * | 0 0 0 1 1 0 . x3o3o3o . ♦ 5 | 0 10 0 | 0 0 10 0 0 | 0 0 0 5 0 0 0 | * * * * 12 * * * * | 1 0 0 0 0 1 . x3o3o . x ♦ 8 | 0 12 4 | 0 0 8 6 0 | 0 0 0 2 4 0 0 | * * * * * 30 * * * | 0 1 0 0 0 1 . x3o . o3x ♦ 9 | 0 9 9 | 0 0 3 9 3 | 0 0 0 0 3 3 0 | * * * * * * 40 * * | 0 0 1 0 0 1 . x . o3o3x ♦ 8 | 0 4 12 | 0 0 0 6 8 | 0 0 0 0 0 4 2 | * * * * * * * 30 * | 0 0 0 1 0 1 . . o3o3o3x ♦ 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * * * 12 | 0 0 0 0 1 1 ------------+----+------------+-------------------+------------------------+----------------------------+--------------- x x3o3o3o . ♦ 10 | 5 20 0 | 10 0 20 0 0 | 10 0 0 10 0 0 0 | 5 0 0 0 2 0 0 0 0 | 6 * * * * * x x3o3o . x ♦ 16 | 8 24 8 | 12 4 16 12 0 | 8 6 0 4 8 0 0 | 2 4 0 0 0 2 0 0 0 | * 15 * * * * x x3o . o3x ♦ 18 | 9 18 18 | 9 9 6 18 6 | 3 9 3 0 6 6 0 | 0 3 3 0 0 0 2 0 0 | * * 20 * * * x x . o3o3x ♦ 16 | 8 8 24 | 4 12 0 12 16 | 0 6 8 0 0 8 4 | 0 0 4 2 0 0 0 2 0 | * * * 15 * * x . o3o3o3x ♦ 10 | 5 0 20 | 0 10 0 0 20 | 0 0 10 0 0 0 10 | 0 0 0 5 0 0 0 0 2 | * * * * 6 * . x3o3o3o3x ♦ 30 | 0 60 60 | 0 0 60 90 60 | 0 0 0 30 60 60 30 | 0 0 0 0 6 15 20 15 6 | * * * * * 2
xx3oo3oo3oo3xx&#x → height = 1 o.3o.3o.3o.3o. | 30 * | 4 4 1 0 0 | 6 12 6 4 4 0 0 0 | 4 12 12 4 6 12 6 0 0 0 0 | 1 4 6 4 1 4 12 12 4 0 0 0 0 0 | 1 1 4 6 4 1 0 .o3.o3.o3.o3.o | * 30 | 0 0 1 4 4 | 0 0 0 4 4 6 12 6 | 0 0 0 0 6 12 6 4 12 12 4 | 0 0 0 0 0 4 12 12 4 1 4 6 4 1 | 0 1 4 6 4 1 1 ------------------+-------+----------------+-------------------------+----------------------------------+---------------------------------------+----------------- x. .. .. .. .. | 2 0 | 60 * * * * | 3 3 0 1 0 0 0 0 | 3 6 3 0 3 3 0 0 0 0 0 | 1 3 3 1 0 3 6 3 0 0 0 0 0 0 | 1 1 3 3 1 0 0 .. .. .. .. x. | 2 0 | * 60 * * * | 0 3 3 0 1 0 0 0 | 0 3 6 3 0 3 3 0 0 0 0 | 0 1 3 3 1 0 3 6 3 0 0 0 0 0 | 1 0 1 3 3 1 0 oo3oo3oo3oo3oo&#x | 1 1 | * * 30 * * | 0 0 0 4 4 0 0 0 | 0 0 0 0 6 12 6 0 0 0 0 | 0 0 0 0 0 4 12 12 4 0 0 0 0 0 | 0 1 4 6 4 1 0 .x .. .. .. .. | 0 2 | * * * 60 * | 0 0 0 1 0 3 3 0 | 0 0 0 0 3 3 0 3 6 3 0 | 0 0 0 0 0 3 6 3 0 1 3 3 1 0 | 0 1 3 3 1 0 1 .. .. .. .. .x | 0 2 | * * * * 60 | 0 0 0 0 1 0 3 3 | 0 0 0 0 0 3 3 0 3 6 3 | 0 0 0 0 0 0 3 6 3 0 1 3 3 1 | 0 0 1 3 3 1 1 ------------------+-------+----------------+-------------------------+----------------------------------+---------------------------------------+----------------- x.3o. .. .. .. | 3 0 | 3 0 0 0 0 | 60 * * * * * * * | 2 2 0 0 1 0 0 0 0 0 0 | 1 2 1 0 0 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0 x. .. .. .. x. | 4 0 | 2 2 0 0 0 | * 90 * * * * * * | 0 2 2 0 0 1 0 0 0 0 0 | 0 1 2 1 0 0 2 2 0 0 0 0 0 0 | 1 0 1 2 1 0 0 .. .. .. o.3x. | 3 0 | 0 3 0 0 0 | * * 60 * * * * * | 0 0 2 2 0 0 1 0 0 0 0 | 0 0 1 2 1 0 0 2 2 0 0 0 0 0 | 1 0 0 1 2 1 0 xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 60 * * * * | 0 0 0 0 3 3 0 0 0 0 0 | 0 0 0 0 0 3 6 3 0 0 0 0 0 0 | 0 1 3 3 1 0 0 .. .. .. .. xx&#x | 2 2 | 0 1 2 0 1 | * * * * 60 * * * | 0 0 0 0 0 3 3 0 0 0 0 | 0 0 0 0 0 0 3 6 3 0 0 0 0 0 | 0 0 1 3 3 1 0 .x3.o .. .. .. | 0 3 | 0 0 0 3 0 | * * * * * 60 * * | 0 0 0 0 1 0 0 2 2 0 0 | 0 0 0 0 0 2 2 0 0 1 2 1 0 0 | 0 1 2 1 0 0 1 .x .. .. .. .x | 0 4 | 0 0 0 2 2 | * * * * * * 90 * | 0 0 0 0 0 1 0 0 2 2 0 | 0 0 0 0 0 0 2 2 0 0 1 2 1 0 | 0 0 1 2 1 0 1 .. .. .. .o3.x | 0 3 | 0 0 0 0 3 | * * * * * * * 60 | 0 0 0 0 0 0 1 0 0 2 2 | 0 0 0 0 0 0 0 2 2 0 0 1 2 1 | 0 0 0 1 2 1 1 ------------------+-------+----------------+-------------------------+----------------------------------+---------------------------------------+----------------- x.3o.3o. .. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 30 * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 x.3o. .. .. x. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 | * 60 * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 x. .. .. o.3x. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 | * * 60 * * * * * * * * | 0 0 1 1 0 0 0 1 0 0 0 0 0 0 | 1 0 0 1 1 0 0 .. .. o.3o.3x. ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 | * * * 30 * * * * * * * | 0 0 0 1 1 0 0 0 1 0 0 0 0 0 | 1 0 0 0 1 1 0 xx3oo .. .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * * * 60 * * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 xx .. .. .. xx&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * * * 90 * * * * * | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 | 0 0 1 2 1 0 0 .. .. .. oo3xx&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 3 0 0 1 | * * * * * * 60 * * * * | 0 0 0 0 0 0 0 2 2 0 0 0 0 0 | 0 0 0 1 2 1 0 .x3.o3.o .. .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * 30 * * * | 0 0 0 0 0 1 0 0 0 1 1 0 0 0 | 0 1 1 0 0 0 1 .x3.o .. .. .x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * * 60 * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 1 1 0 0 1 .x .. .. .o3.x ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * * 60 * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 | 0 0 0 1 1 0 1 .. .. .o3.o3.x ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * 30 | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 0 1 1 1 ------------------+-------+----------------+-------------------------+----------------------------------+---------------------------------------+----------------- x.3o.3o.3o. .. ♦ 5 0 | 10 0 0 0 0 | 10 0 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 | 6 * * * * * * * * * * * * * | 1 1 0 0 0 0 0 x.3o.3o. .. x. ♦ 8 0 | 12 4 0 0 0 | 8 6 0 0 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 0 | * 15 * * * * * * * * * * * * | 1 0 1 0 0 0 0 x.3o. .. o.3x. ♦ 9 0 | 9 9 0 0 0 | 3 9 3 0 0 0 0 0 | 0 3 3 0 0 0 0 0 0 0 0 | * * 20 * * * * * * * * * * * | 1 0 0 1 0 0 0 x. .. o.3o.3x. ♦ 8 0 | 4 12 0 0 0 | 0 6 8 0 0 0 0 0 | 0 0 4 2 0 0 0 0 0 0 0 | * * * 15 * * * * * * * * * * | 1 0 0 0 1 0 0 .. o.3o.3o.3x. ♦ 5 0 | 0 10 0 0 0 | 0 0 10 0 0 0 0 0 | 0 0 0 5 0 0 0 0 0 0 0 | * * * * 6 * * * * * * * * * | 1 0 0 0 0 1 0 xx3oo3oo .. ..&#x ♦ 4 4 | 6 0 4 6 0 | 4 0 0 6 0 4 0 0 | 1 0 0 0 4 0 0 1 0 0 0 | * * * * * 30 * * * * * * * * | 0 1 1 0 0 0 0 xx3oo .. .. xx&#x ♦ 6 6 | 6 3 6 6 3 | 2 3 0 6 3 2 3 0 | 0 1 0 0 2 3 0 0 1 0 0 | * * * * * * 60 * * * * * * * | 0 0 1 1 0 0 0 xx .. .. oo3xx&#x ♦ 6 6 | 3 6 6 3 6 | 0 3 2 3 6 0 3 2 | 0 0 1 0 0 3 2 0 0 1 0 | * * * * * * * 60 * * * * * * | 0 0 0 1 1 0 0 .. .. oo3oo3xx&#x ♦ 4 4 | 0 6 4 0 6 | 0 0 4 0 6 0 0 4 | 0 0 0 1 0 0 4 0 0 0 1 | * * * * * * * * 30 * * * * * | 0 0 0 0 1 1 0 .x3.o3.o3.o .. ♦ 0 5 | 0 0 0 10 0 | 0 0 0 0 0 10 0 0 | 0 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * * 6 * * * * | 0 1 0 0 0 0 1 .x3.o3.o .. .x ♦ 0 8 | 0 0 0 12 4 | 0 0 0 0 0 8 6 0 | 0 0 0 0 0 0 0 2 4 0 0 | * * * * * * * * * * 15 * * * | 0 0 1 0 0 0 1 .x3.o .. .o3.x ♦ 0 9 | 0 0 0 9 9 | 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * 20 * * | 0 0 0 1 0 0 1 .x .. .o3.o3.x ♦ 0 8 | 0 0 0 4 12 | 0 0 0 0 0 0 6 8 | 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * * * 15 * | 0 0 0 0 1 0 1 .. .o3.o3.o3.x ♦ 0 5 | 0 0 0 0 10 | 0 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * * * 6 | 0 0 0 0 0 1 1 ------------------+-------+----------------+-------------------------+----------------------------------+---------------------------------------+----------------- x.3o.3o.3o.3x. ♦ 30 0 | 60 60 0 0 0 | 60 90 60 0 0 0 0 0 | 30 60 60 30 0 0 0 0 0 0 0 | 6 15 20 15 6 0 0 0 0 0 0 0 0 0 | 1 * * * * * * xx3oo3oo3oo ..&#x ♦ 5 5 | 10 0 5 10 0 | 10 0 0 10 0 10 0 0 | 5 0 0 0 10 0 0 5 0 0 0 | 1 0 0 0 0 5 0 0 0 1 0 0 0 0 | * 6 * * * * * xx3oo3oo .. xx&#x ♦ 8 8 | 12 4 8 12 4 | 8 6 0 12 4 8 6 0 | 2 4 0 0 8 6 0 2 4 0 0 | 0 1 0 0 0 2 4 0 0 0 1 0 0 0 | * * 15 * * * * xx3oo .. oo3xx&#x ♦ 9 9 | 9 9 9 9 9 | 3 9 3 9 9 3 9 3 | 0 3 3 0 3 9 3 0 3 3 0 | 0 0 1 0 0 0 3 3 0 0 0 1 0 0 | * * * 20 * * * xx .. oo3oo3xx&#x ♦ 8 8 | 4 12 8 4 12 | 0 6 8 4 12 0 6 8 | 0 0 4 2 0 6 8 0 0 4 2 | 0 0 0 1 0 0 0 4 2 0 0 0 1 0 | * * * * 15 * * .. oo3oo3oo3xx&#x ♦ 5 5 | 0 10 5 0 10 | 0 0 10 0 10 0 0 10 | 0 0 0 5 0 0 10 0 0 0 5 | 0 0 0 0 1 0 0 0 5 0 0 0 0 1 | * * * * * 6 * .x3.o3.o3.o3.x ♦ 0 30 | 0 0 0 60 60 | 0 0 0 0 0 60 90 60 | 0 0 0 0 0 0 0 30 60 60 30 | 0 0 0 0 0 0 0 0 0 6 15 20 15 6 | * * * * * * 1
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