Acronym | sirgashia |
Name | small rhombated grand stellated hecatonicosachoron alterprism |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
Face vector | 7200, 36000, 43200, 17040, 1682 |
Confer |
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As abstract polytope sirgashia is isomorphic to sirghia, thereby interchanging pentagons and pentagrams resp. replacing stips by pips and interchanging paps with staps, as well as replacing sirgashis by sirghis and stafes by pafs.
Incidence matrix according to Dynkin symbol
xo5/2ox5xo5/2ox&#x → height = sqrt[10 sqrt(5)-22] = 0.600566
(sirgashi || inv sirgashi)
o.5/2o.5o.5/2o. & | 7200 | 2 4 4 | 1 4 2 2 6 6 | 2 2 1 4 5 2 2 | 1 3 3
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x. .. .. .. & | 2 | 7200 * * | 1 2 0 0 2 0 | 2 1 0 2 2 1 0 | 1 2 2
.. .. x. .. & | 2 | * 14400 * | 0 1 1 1 0 1 | 1 1 1 1 1 0 1 | 1 2 1
oo5/2oo5oo5/2oo&#x | 2 | * * 14400 | 0 0 0 0 2 2 | 0 0 0 2 2 1 1 | 0 2 2
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x.5/2o. .. .. & | 5 | 5 0 0 | 1440 * * * * * | 2 0 0 2 0 0 0 | 1 2 1
x. .. x. .. & | 4 | 2 2 0 | * 7200 * * * * | 1 1 0 0 1 0 0 | 1 1 1
.. o.5x. .. & | 5 | 0 5 0 | * * 2880 * * * | 1 0 1 0 0 0 1 | 1 2 0
.. .. x.5/2o. & | 5 | 0 5 0 | * * * 2880 * * | 0 1 1 1 0 0 0 | 1 1 1
xo .. .. ..&#x & | 3 | 1 0 2 | * * * * 14400 * | 0 0 0 1 1 1 0 | 0 1 2
.. ox .. ..&#x & | 3 | 0 1 2 | * * * * * 14400 | 0 0 0 1 1 0 1 | 0 2 1
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x.5/2o.5x. .. & ♦ 60 | 60 60 0 | 12 30 12 0 0 0 | 240 * * * * * * | 1 1 0
x. .. x.5/2o. & ♦ 10 | 5 10 0 | 0 5 0 2 0 0 | * 1440 * * * * * | 1 0 1
.. o.5x.5/2o. & ♦ 30 | 0 60 0 | 0 0 12 12 0 0 | * * 240 * * * * | 1 1 0
xo5/2ox .. ..&#x & ♦ 10 | 5 5 10 | 1 0 0 1 5 5 | * * * 2880 * * * | 0 1 1
xo .. xo ..&#x & ♦ 5 | 2 2 4 | 0 1 0 0 2 2 | * * * * 7200 * * | 0 1 1
xo .. .. ox&#x ♦ 4 | 2 0 4 | 0 0 0 0 4 0 | * * * * * 3600 * | 0 0 2
.. ox5xo ..&#x ♦ 10 | 0 10 10 | 0 0 2 0 0 10 | * * * * * * 1440 | 0 2 0
---------------------+------+------------------+---------------------------------+----------------------------------+-----------
x.5/2o.5x.5/2o. & ♦ 3600 | 3600 7200 0 | 720 3600 1440 1440 0 0 | 120 720 120 0 0 0 0 | 2 * *
xo5/2ox5xo ..&#x & ♦ 90 | 60 120 120 | 12 30 24 12 60 120 | 1 0 1 12 30 0 12 | * 240 *
xo5/2ox .. ox&#x & ♦ 15 | 10 10 20 | 1 5 0 2 20 10 | 0 1 0 2 5 5 0 | * * 1440
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