Acronym | spixip |
Name | small-prismated-hexateron prism |
Circumradius | sqrt(5/3) = 1.290994 |
Face vector | 120, 600, 1110, 930, 349, 49 |
Confer |
|
Incidence matrix according to Dynkin symbol
x x3o3o3x3o o o3o3o3o3o | 120 | 1 3 6 | 3 6 3 12 6 3 | 3 12 6 3 1 6 6 6 2 3 | 1 6 6 6 2 3 2 3 3 1 | 2 3 3 1 1 ------------+-----+------------+------------------------+------------------------------------+-------------------------------+------------ x . . . . . | 2 | 60 * * | 3 6 0 0 0 0 | 3 12 6 3 0 0 0 0 0 0 | 1 6 6 6 2 3 0 0 0 0 | 2 3 3 1 0 . x . . . . | 2 | * 180 * | 1 0 2 4 0 0 | 2 4 0 0 1 4 2 2 0 0 | 1 4 2 2 0 0 2 2 1 0 | 2 2 1 0 1 . . . . x . | 2 | * * 360 | 0 1 0 2 2 1 | 0 2 2 1 0 1 2 2 1 2 | 0 1 2 2 1 2 1 1 2 1 | 1 1 2 1 1 ------------+-----+------------+------------------------+------------------------------------+-------------------------------+------------ x x . . . . | 4 | 2 2 0 | 90 * * * * * | 2 4 0 0 0 0 0 0 0 0 | 1 4 2 2 0 0 0 0 0 0 | 2 2 1 0 0 x . . . x . | 4 | 2 0 2 | * 180 * * * * | 0 2 2 1 0 0 0 0 0 0 | 0 1 2 2 1 2 0 0 0 0 | 1 1 2 1 0 . x3o . . . | 3 | 0 3 0 | * * 120 * * * | 1 0 0 0 1 2 0 0 0 0 | 1 2 0 0 0 0 2 1 0 0 | 2 1 0 0 1 . x . . x . | 4 | 0 2 2 | * * * 360 * * | 0 1 0 0 0 1 1 1 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1 . . . o3x . | 3 | 0 0 3 | * * * * 240 * | 0 0 1 0 0 0 1 0 1 1 | 0 0 1 0 1 1 1 0 1 1 | 1 0 1 1 1 . . . . x3o | 3 | 0 0 3 | * * * * * 120 | 0 0 0 1 0 0 0 2 0 2 | 0 0 0 2 0 2 0 1 2 1 | 0 1 2 1 1 ------------+-----+------------+------------------------+------------------------------------+-------------------------------+------------ x x3o . . . ♦ 6 | 3 6 0 | 3 0 2 0 0 0 | 60 * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0 0 x x . . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 0 | * 180 * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x . . o3x . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 120 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 1 0 1 1 0 x . . . x3o ♦ 6 | 3 0 6 | 0 3 0 0 0 2 | * * * 60 * * * * * * | 0 0 0 2 0 2 0 0 0 0 | 0 1 2 1 0 . x3o3o . . ♦ 4 | 0 6 0 | 0 0 4 0 0 0 | * * * * 30 * * * * * | 1 0 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . x3o . x . ♦ 6 | 0 6 3 | 0 0 2 3 0 0 | * * * * * 120 * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . o3x . ♦ 6 | 0 3 6 | 0 0 0 3 2 0 | * * * * * * 120 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x3o ♦ 6 | 0 3 6 | 0 0 0 3 0 2 | * * * * * * * 120 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 . . o3o3x . ♦ 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * * * * 60 * | 0 0 0 0 1 0 1 0 0 1 | 1 0 0 1 1 . . . o3x3o ♦ 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * * * * 60 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------+-----+------------+------------------------+------------------------------------+-------------------------------+------------ x x3o3o . . ♦ 8 | 4 12 0 | 6 0 8 0 0 0 | 4 0 0 0 2 0 0 0 0 0 | 15 * * * * * * * * * | 2 0 0 0 0 x x3o . x . ♦ 12 | 6 12 6 | 6 3 4 6 0 0 | 2 3 0 0 0 2 0 0 0 0 | * 60 * * * * * * * * | 1 1 0 0 0 x x . o3x . ♦ 12 | 6 6 12 | 3 6 0 6 4 0 | 0 3 2 0 0 0 2 0 0 0 | * * 60 * * * * * * * | 1 0 1 0 0 x x . . x3o ♦ 12 | 6 6 12 | 3 6 0 6 0 4 | 0 3 0 2 0 0 0 2 0 0 | * * * 60 * * * * * * | 0 1 1 0 0 x . o3o3x . ♦ 8 | 4 0 12 | 0 6 0 0 8 0 | 0 0 4 0 0 0 0 0 2 0 | * * * * 30 * * * * * | 1 0 0 1 0 x . . o3x3o ♦ 12 | 6 0 24 | 0 12 0 0 8 8 | 0 0 4 4 0 0 0 0 0 2 | * * * * * 30 * * * * | 0 0 1 1 0 . x3o3o3x . ♦ 20 | 0 30 30 | 0 0 20 30 20 0 | 0 0 0 0 5 10 10 0 5 0 | * * * * * * 12 * * * | 1 0 0 0 1 . x3o . x3o ♦ 9 | 0 9 9 | 0 0 3 9 0 3 | 0 0 0 0 0 3 0 3 0 0 | * * * * * * * 40 * * | 0 1 0 0 1 . x . o3x3o ♦ 12 | 0 6 24 | 0 0 0 12 8 8 | 0 0 0 0 0 0 4 4 0 2 | * * * * * * * * 30 * | 0 0 1 0 1 . . o3o3x3o ♦ 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * 12 | 0 0 0 1 1 ------------+-----+------------+------------------------+------------------------------------+-------------------------------+------------ x x3o3o3x . ♦ 40 | 20 60 60 | 30 30 40 60 40 0 | 20 30 20 0 10 20 20 0 10 0 | 5 10 10 0 5 0 2 0 0 0 | 6 * * * * x x3o . x3o ♦ 18 | 9 18 18 | 9 9 6 18 0 6 | 3 9 0 3 0 6 0 6 0 0 | 0 3 0 3 0 0 0 2 0 0 | * 20 * * * x x . o3x3o ♦ 24 | 12 12 48 | 6 24 0 24 16 16 | 0 12 8 8 0 0 8 8 0 4 | 0 0 4 4 0 2 0 0 2 0 | * * 15 * * x . o3o3x3o ♦ 20 | 10 0 60 | 0 30 0 0 40 20 | 0 0 20 10 0 0 0 0 10 10 | 0 0 0 0 5 5 0 0 0 2 | * * * 6 * . x3o3o3x3o ♦ 60 | 0 90 180 | 0 0 60 180 120 60 | 0 0 0 0 15 60 60 60 30 30 | 0 0 0 0 0 0 6 20 15 6 | * * * * 2
xx3oo3oo3xx3oo&#x → height = 1
(spix || spix)
o.3o.3o.3o.3o. | 60 * | 3 6 1 0 0 | 3 12 6 3 3 6 0 0 0 0 | 1 6 6 6 2 3 3 12 6 3 0 0 0 0 0 0 | 2 3 3 1 1 6 6 6 2 3 0 0 0 0 | 1 2 3 3 1 0
.o3.o3.o3.o3.o | * 60 | 0 0 1 3 6 | 0 0 0 0 3 6 3 12 6 3 | 0 0 0 0 0 0 3 12 6 3 1 6 6 6 2 3 | 0 0 0 0 1 6 6 6 2 3 2 3 3 1 | 0 2 3 3 1 1
------------------+-------+------------------+------------------------------------+---------------------------------------------------+---------------------------------------+--------------
x. .. .. .. .. | 2 0 | 90 * * * * | 2 4 0 0 1 0 0 0 0 0 | 1 4 2 2 0 0 2 4 0 0 0 0 0 0 0 0 | 2 2 1 0 1 4 2 2 0 0 0 0 0 0 | 1 2 2 1 0 0
.. .. .. x. .. | 2 0 | * 180 * * * | 0 2 2 1 0 1 0 0 0 0 | 0 1 2 2 1 2 0 2 2 1 0 0 0 0 0 0 | 1 1 2 1 0 1 2 2 1 2 0 0 0 0 | 1 1 1 2 1 0
oo3oo3oo3oo3oo&#x | 1 1 | * * 60 * * | 0 0 0 0 3 6 0 0 0 0 | 0 0 0 0 0 0 3 12 6 3 0 0 0 0 0 0 | 0 0 0 0 1 6 6 6 2 3 0 0 0 0 | 0 2 3 3 1 0
.x .. .. .. .. | 0 2 | * * * 90 * | 0 0 0 0 1 0 2 4 0 0 | 0 0 0 0 0 0 2 4 0 0 1 4 2 2 0 0 | 0 0 0 0 1 4 2 2 0 0 2 2 1 0 | 0 2 2 1 0 1
.. .. .. .x .. | 0 2 | * * * * 180 | 0 0 0 0 0 1 0 2 2 1 | 0 0 0 0 0 0 0 2 2 1 0 1 2 2 1 2 | 0 0 0 0 0 1 2 2 1 2 1 1 2 1 | 0 1 1 2 1 1
------------------+-------+------------------+------------------------------------+---------------------------------------------------+---------------------------------------+--------------
x.3o. .. .. .. | 3 0 | 3 0 0 0 0 | 60 * * * * * * * * * | 1 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 2 1 0 0 1 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
x. .. .. x. .. | 4 0 | 2 2 0 0 0 | * 180 * * * * * * * * | 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 1 0 0
.. .. o.3x. .. | 3 0 | 0 3 0 0 0 | * * 120 * * * * * * * | 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0 1 0 1 1 0 0 0 0 | 1 1 0 1 1 0
.. .. .. x.3o. | 3 0 | 0 3 0 0 0 | * * * 60 * * * * * * | 0 0 0 2 0 2 0 0 0 1 0 0 0 0 0 0 | 0 1 2 1 0 0 0 2 0 2 0 0 0 0 | 1 0 1 2 1 0
xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * * 90 * * * * * | 0 0 0 0 0 0 2 4 0 0 0 0 0 0 0 0 | 0 0 0 0 1 4 2 2 0 0 0 0 0 0 | 0 2 2 1 0 0
.. .. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * * 180 * * * * | 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 | 0 0 0 0 0 1 2 2 1 2 0 0 0 0 | 0 1 1 2 1 0
.x3.o .. .. .. | 0 3 | 0 0 0 3 0 | * * * * * * 60 * * * | 0 0 0 0 0 0 1 0 0 0 1 2 0 0 0 0 | 0 0 0 0 1 2 0 0 0 0 2 1 0 0 | 0 2 1 0 0 1
.x .. .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * * 180 * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 | 0 0 0 0 0 1 1 1 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * * * 120 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * * * * 60 | 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 2 | 0 0 0 0 0 0 0 2 0 2 0 1 2 1 | 0 0 1 2 1 1
------------------+-------+------------------+------------------------------------+---------------------------------------------------+---------------------------------------+--------------
x.3o.3o. .. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 15 * * * * * * * * * * * * * * * | 2 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0
x.3o. .. x. .. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 0 0 | * 60 * * * * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. o.3x. .. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 0 0 | * * 60 * * * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0
x. .. .. x.3o. ♦ 6 0 | 3 6 0 0 0 | 0 3 0 2 0 0 0 0 0 0 | * * * 60 * * * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 0 | 1 0 1 1 0 0
.. o.3o.3x. .. ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 0 0 | * * * * 30 * * * * * * * * * * * | 1 0 0 1 0 0 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0
.. .. o.3x.3o. ♦ 6 0 | 0 12 0 0 0 | 0 0 4 4 0 0 0 0 0 0 | * * * * * 30 * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx3oo .. .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 0 3 0 1 0 0 0 | * * * * * * 60 * * * * * * * * * | 0 0 0 0 1 2 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0
xx .. .. xx ..&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 0 2 2 0 1 0 0 | * * * * * * * 180 * * * * * * * * | 0 0 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0
.. .. oo3xx ..&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 0 3 0 0 1 0 | * * * * * * * * 120 * * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx3oo&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 0 1 0 3 0 0 0 1 | * * * * * * * * * 60 * * * * * * | 0 0 0 0 0 0 0 2 0 2 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 0 4 0 0 0 | * * * * * * * * * * 15 * * * * * | 0 0 0 0 1 0 0 0 0 0 2 0 0 0 | 0 2 0 0 0 1
.x3.o .. .x .. ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 0 2 3 0 0 | * * * * * * * * * * * 60 * * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .o3.x .. ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 0 3 2 0 | * * * * * * * * * * * * 60 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x3.o ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * * * * 60 * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .o3.o3.x .. ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * * * * 30 * | 0 0 0 0 0 0 0 0 1 0 1 0 0 1 | 0 1 0 0 1 1
.. .. .o3.x3.o ♦ 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * * 30 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
------------------+-------+------------------+------------------------------------+---------------------------------------------------+---------------------------------------+--------------
x.3o.3o.3x. .. ♦ 20 0 | 30 30 0 0 0 | 20 30 20 0 0 0 0 0 0 0 | 5 10 10 0 5 0 0 0 0 0 0 0 0 0 0 0 | 6 * * * * * * * * * * * * * | 1 1 0 0 0 0
x.3o. .. x.3o. ♦ 9 0 | 9 9 0 0 0 | 3 9 0 3 0 0 0 0 0 0 | 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * 20 * * * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.3x.3o. ♦ 12 0 | 6 24 0 0 0 | 0 12 8 8 0 0 0 0 0 0 | 0 0 4 4 0 2 0 0 0 0 0 0 0 0 0 0 | * * 15 * * * * * * * * * * * | 1 0 0 1 0 0
.. o.3o.3x.3o. ♦ 10 0 | 0 30 0 0 0 | 0 0 20 10 0 0 0 0 0 0 | 0 0 0 0 5 5 0 0 0 0 0 0 0 0 0 0 | * * * 6 * * * * * * * * * * | 1 0 0 0 1 0
xx3oo3oo .. ..&#x ♦ 4 4 | 6 0 4 6 0 | 4 0 0 0 6 0 4 0 0 0 | 1 0 0 0 0 0 4 0 0 0 1 0 0 0 0 0 | * * * * 15 * * * * * * * * * | 0 2 0 0 0 0
xx3oo .. xx ..&#x ♦ 6 6 | 6 3 6 6 3 | 2 3 0 0 6 3 2 3 0 0 | 0 1 0 0 0 0 2 3 0 0 0 1 0 0 0 0 | * * * * * 60 * * * * * * * * | 0 1 1 0 0 0
xx .. oo3xx ..&#x ♦ 6 6 | 3 6 6 3 6 | 0 3 2 0 3 6 0 3 2 0 | 0 0 1 0 0 0 0 3 2 0 0 0 1 0 0 0 | * * * * * * 60 * * * * * * * | 0 1 0 1 0 0
xx .. .. xx3oo&#x ♦ 6 6 | 3 6 6 3 6 | 0 3 0 2 3 6 0 3 0 2 | 0 0 0 1 0 0 0 3 0 2 0 0 0 1 0 0 | * * * * * * * 60 * * * * * * | 0 0 1 1 0 0
.. oo3oo3xx ..&#x ♦ 4 4 | 0 6 4 0 6 | 0 0 4 0 0 6 0 0 4 0 | 0 0 0 0 1 0 0 0 4 0 0 0 0 0 1 0 | * * * * * * * * 30 * * * * * | 0 1 0 0 1 0
.. .. oo3xx3oo&#x ♦ 6 6 | 0 12 6 0 12 | 0 0 4 4 0 12 0 0 4 4 | 0 0 0 0 0 1 0 0 4 4 0 0 0 0 0 1 | * * * * * * * * * 30 * * * * | 0 0 0 1 1 0
.x3.o3.o3.x .. ♦ 0 20 | 0 0 0 30 30 | 0 0 0 0 0 0 20 30 20 0 | 0 0 0 0 0 0 0 0 0 0 5 10 10 0 5 0 | * * * * * * * * * * 6 * * * | 0 1 0 0 0 1
.x3.o .. .x3.o ♦ 0 9 | 0 0 0 9 9 | 0 0 0 0 0 0 3 9 0 3 | 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 | * * * * * * * * * * * 20 * * | 0 0 1 0 0 1
.x .. .o3.x3.o ♦ 0 12 | 0 0 0 6 24 | 0 0 0 0 0 0 0 12 8 8 | 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 2 | * * * * * * * * * * * * 15 * | 0 0 0 1 0 1
.. .o3.o3.x3.o ♦ 0 10 | 0 0 0 0 30 | 0 0 0 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * * * * 6 | 0 0 0 0 1 1
------------------+-------+------------------+------------------------------------+---------------------------------------------------+---------------------------------------+--------------
x.3o.3o.3x.3o. ♦ 60 0 | 90 180 0 0 0 | 60 180 120 60 0 0 0 0 0 0 | 15 60 60 60 30 30 0 0 0 0 0 0 0 0 0 0 | 6 20 15 6 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3oo3oo3xx ..&#x ♦ 20 20 | 30 30 20 30 30 | 20 30 20 0 30 30 20 30 20 0 | 5 10 10 0 5 0 20 30 20 0 5 10 10 0 5 0 | 1 0 0 0 5 10 10 0 5 0 1 0 0 0 | * 6 * * * *
xx3oo .. xx3oo&#x ♦ 9 9 | 9 9 9 9 9 | 3 9 0 3 9 9 3 9 0 3 | 0 3 0 3 0 0 3 9 0 3 0 3 0 3 0 0 | 0 1 0 0 0 3 0 3 0 0 0 1 0 0 | * * 20 * * *
xx .. oo3xx3oo&#x ♦ 12 12 | 6 24 12 6 24 | 0 12 8 8 6 24 0 12 8 8 | 0 0 4 4 0 2 0 12 8 8 0 0 4 4 0 2 | 0 0 1 0 0 0 4 4 0 2 0 0 1 0 | * * * 15 * *
.. oo3oo3xx3oo&#x ♦ 10 10 | 0 30 10 0 30 | 0 0 20 10 0 30 0 0 20 10 | 0 0 0 0 5 5 0 0 20 10 0 0 0 0 5 5 | 0 0 0 1 0 0 0 0 5 5 0 0 0 1 | * * * * 6 *
.x3.o3.o3.x3.o ♦ 0 60 | 0 0 0 90 180 | 0 0 0 0 0 0 60 180 120 60 | 0 0 0 0 0 0 0 0 0 0 15 60 60 60 30 30 | 0 0 0 0 0 0 0 0 0 0 6 20 15 6 | * * * * * 1
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