Acronym | cappixa (old: cappixalcappix) |
Name |
cappix alterprism, cappix atop alternate cappix |
Circumradius | sqrt(11)/2 = 1.658312 |
Face vector | 240, 1200, 2220, 1770, 574, 64 |
Confer |
|
Incidence matrix according to Dynkin symbol
xx3xo3oo3ox3xx&#x → height = 1/sqrt(3) = 0.577350
(cappix || alt. cappix)
o.3o.3o.3o.3o. & | 240 | 1 3 3 3 | 3 3 3 6 3 6 9 | 3 6 3 1 3 3 1 9 9 3 4 3 | 1 3 3 1 1 4 6 9 4 1 | 1 2 4 3
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x. .. .. .. .. & | 2 | 120 * * * | 3 3 0 0 0 3 0 | 3 6 3 0 0 0 0 6 3 3 0 0 | 1 3 3 1 0 3 3 9 1 0 | 1 1 4 3
.. x. .. .. .. & | 2 | * 360 * * | 1 0 2 2 0 0 2 | 2 2 0 1 2 1 0 2 2 0 2 1 | 1 2 1 0 1 2 2 2 2 1 | 1 2 2 1
.. .. .. .. x. & | 2 | * * 360 * | 0 1 0 2 2 1 0 | 0 2 2 0 1 2 1 2 2 1 0 0 | 0 1 2 1 1 1 2 4 1 0 | 1 1 2 2
oo3oo3oo3oo3oo&#x | 2 | * * * 360 | 0 0 0 0 0 2 4 | 0 0 0 0 0 0 0 4 4 1 2 2 | 0 0 0 0 0 2 4 4 2 1 | 0 2 2 2
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x. .. .. .. & | 6 | 3 3 0 0 | 120 * * * * * * | 2 2 0 0 0 0 0 2 0 0 0 0 | 1 2 1 0 0 2 1 2 0 0 | 1 1 2 1
x. .. .. .. x. & | 4 | 2 0 2 0 | * 180 * * * * * | 0 2 2 0 0 0 0 0 0 1 0 0 | 0 1 2 1 0 0 0 4 0 0 | 1 0 2 2
.. x.3o. .. .. & | 3 | 0 3 0 0 | * * 240 * * * * | 1 0 0 1 1 0 0 0 0 0 1 0 | 1 1 0 0 1 1 0 0 1 1 | 1 2 1 0
.. x. .. .. x. & | 4 | 0 2 2 0 | * * * 360 * * * | 0 1 0 0 1 1 0 0 1 0 0 0 | 0 1 1 0 1 0 1 1 1 0 | 1 1 1 1
.. .. .. o.3x. & | 3 | 0 0 3 0 | * * * * 240 * * | 0 0 1 0 0 1 1 1 0 0 0 0 | 0 0 1 1 1 1 1 1 0 0 | 1 1 1 1
xx .. .. .. ..&#x & | 4 | 1 0 1 2 | * * * * * 360 * | 0 0 0 0 0 0 0 2 2 1 0 0 | 0 0 0 0 0 1 2 4 1 0 | 0 1 2 2
.. xo .. .. ..&#x & | 3 | 0 1 0 2 | * * * * * * 720 | 0 0 0 0 0 0 0 1 1 0 1 1 | 0 0 0 0 0 1 2 1 1 1 | 0 2 1 1
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x.3o. .. .. & ♦ 12 | 6 12 0 0 | 4 0 4 0 0 0 0 | 60 * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 | 1 1 1 0
x.3x. .. .. x. & ♦ 12 | 6 6 6 0 | 2 3 0 3 0 0 0 | * 120 * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 | 1 0 1 1
x. .. .. o.3x. & ♦ 6 | 3 0 6 0 | 0 3 0 0 2 0 0 | * * 120 * * * * * * * * * | 0 0 1 1 0 0 0 1 0 0 | 1 0 1 1
.. x.3o.3o. .. & ♦ 4 | 0 6 0 0 | 0 0 4 0 0 0 0 | * * * 60 * * * * * * * * | 1 0 0 0 1 0 0 0 0 1 | 1 2 0 0
.. x.3o. .. x. & ♦ 6 | 0 6 3 0 | 0 0 2 3 0 0 0 | * * * * 120 * * * * * * * | 0 1 0 0 1 0 0 0 1 0 | 1 1 1 0
.. x. .. o.3x. & ♦ 6 | 0 3 6 0 | 0 0 0 3 2 0 0 | * * * * * 120 * * * * * * | 0 0 1 0 1 0 1 0 0 0 | 1 1 0 1
.. .. o.3o.3x. & ♦ 4 | 0 0 6 0 | 0 0 0 0 4 0 0 | * * * * * * 60 * * * * * | 0 0 0 1 1 1 0 0 0 0 | 1 1 1 0
xx3xo .. .. ..&#x & ♦ 9 | 3 3 3 6 | 1 0 0 0 1 3 3 | * * * * * * * 240 * * * * | 0 0 0 0 0 1 1 1 0 0 | 0 1 1 1
xx .. .. ox ..&#x & ♦ 6 | 1 2 2 4 | 0 0 0 1 0 2 2 | * * * * * * * * 360 * * * | 0 0 0 0 0 0 1 1 1 0 | 0 1 1 1
xx .. .. .. xx&#x ♦ 8 | 4 0 4 4 | 0 2 0 0 0 4 0 | * * * * * * * * * 90 * * | 0 0 0 0 0 0 0 4 0 0 | 0 0 2 2
.. xo3oo .. ..&#x & ♦ 4 | 0 3 0 3 | 0 0 1 0 0 0 3 | * * * * * * * * * * 240 * | 0 0 0 0 0 1 0 0 1 1 | 0 2 1 0
.. xo .. ox ..&#x ♦ 4 | 0 2 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * * 180 | 0 0 0 0 0 0 2 0 0 1 | 0 2 0 1
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x.3o.3o. .. & ♦ 20 | 10 30 0 0 | 10 0 20 0 0 0 0 | 5 0 0 5 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * | 1 1 0 0
x.3x.3o. .. x. & ♦ 24 | 12 24 12 0 | 8 6 8 12 0 0 0 | 2 4 0 0 4 0 0 0 0 0 0 0 | * 30 * * * * * * * * | 1 0 1 0
x.3x. .. o.3x. & ♦ 18 | 9 9 18 0 | 3 9 0 9 6 0 0 | 0 3 3 0 0 3 0 0 0 0 0 0 | * * 40 * * * * * * * | 1 0 0 1
x. .. o.3o.3x. & ♦ 8 | 4 0 12 0 | 0 6 0 0 8 0 0 | 0 0 4 0 0 0 2 0 0 0 0 0 | * * * 30 * * * * * * | 1 0 1 0
.. x.3o.3o.3x. & ♦ 20 | 0 30 30 0 | 0 0 20 30 20 0 0 | 0 0 0 5 10 10 5 0 0 0 0 0 | * * * * 12 * * * * * | 1 1 0 0
xx3xo3oo .. ..&#x & ♦ 16 | 6 12 6 12 | 4 0 4 0 4 6 12 | 1 0 0 0 0 0 1 4 0 0 4 0 | * * * * * 60 * * * * | 0 1 1 0
xx3xo .. ox ..&#x & ♦ 12 | 3 6 6 12 | 1 0 0 3 2 6 12 | 0 0 0 0 0 1 0 2 3 0 0 3 | * * * * * * 120 * * * | 0 1 0 1
xx3xo .. .. xx&#x & ♦ 18 | 9 6 12 12 | 2 6 0 3 2 12 6 | 0 1 1 0 0 0 0 2 3 3 0 0 | * * * * * * * 120 * * | 0 0 1 1
xx .. oo3ox ..&#x & ♦ 8 | 1 6 3 6 | 0 0 2 3 0 3 6 | 0 0 0 0 1 0 0 0 3 0 2 0 | * * * * * * * * 120 * | 0 1 1 0
.. xo3oo3ox ..&#x ♦ 8 | 0 12 0 12 | 0 0 8 0 0 0 24 | 0 0 0 2 0 0 0 0 0 0 8 6 | * * * * * * * * * 30 | 0 2 0 0
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x.3o.3o.3x. & ♦ 120 | 60 180 180 0 | 60 90 120 180 120 0 0 | 30 60 60 30 60 60 30 0 0 0 0 0 | 6 15 20 15 6 0 0 0 0 0 | 2 * * *
xx3xo3oo3ox ..&#x & ♦ 40 | 10 60 30 60 | 10 0 40 30 20 30 120 | 5 0 0 10 10 10 5 20 30 0 40 30 | 1 0 0 0 1 5 10 0 10 5 | * 12 * *
xx3xo3oo .. xx&#x & ♦ 32 | 16 24 24 24 | 8 12 8 12 8 24 24 | 2 4 4 0 4 0 2 8 12 6 8 0 | 0 1 0 1 0 2 0 4 4 0 | * * 30 *
xx3xo .. ox3xx&#x ♦ 36 | 18 18 36 36 | 6 18 0 18 12 36 36 | 0 6 6 0 0 6 0 12 18 9 0 9 | 0 0 2 0 0 0 6 6 0 0 | * * * 20
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