- general polytopal classes:
- segmentotera scaliform
links
| Acronym | stut phiddixa |
| Name | small tritrigonal prismatohecatonicosidishexacosachoron alterprism |
| Circumradius | sqrt([63+25 sqrt(5)]/8) = 3.855219 |
| Face vector | 4800, 28800, 41280, 19920, 2042 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
xx3oo3xo5/2ox3*b &#x → height = sqrt[(sqrt(5)-1)/2] = 0.786151 o.3o.3o.5/2o.3*b | 2400 * | 3 6 3 0 0 | 3 6 3 3 6 6 3 0 0 0 0 | 3 1 3 1 3 6 3 3 1 3 0 0 0 0 | 1 3 1 3 1 0 .o3.o3.o5/2.o3*b | * 2400 | 0 0 3 3 6 | 0 0 0 0 6 3 6 3 6 3 3 | 0 0 0 0 3 3 6 1 3 3 1 3 3 1 | 0 1 3 3 1 1 ---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+-------------------- x. .. .. .. | 2 0 | 3600 * * * * | 2 2 0 0 2 0 0 0 0 0 0 | 2 1 1 0 2 2 1 0 0 0 0 0 0 0 | 1 2 1 1 0 0 .. .. x. .. | 2 0 | * 7200 * * * | 0 1 1 1 0 1 0 0 0 0 0 | 1 0 1 1 0 1 0 1 0 1 0 0 0 0 | 1 1 0 1 1 0 oo3oo3oo5/2oo3*b &#x | 1 1 | * * 7200 * * | 0 0 0 0 2 2 2 0 0 0 0 | 0 0 0 0 1 2 2 1 1 2 0 0 0 0 | 0 1 1 2 1 0 .x .. .. .. | 0 2 | * * * 3600 * | 0 0 0 0 2 0 0 2 2 0 0 | 0 0 0 0 2 1 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1 .. .. .. .x | 0 2 | * * * * 7200 | 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1 ---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+-------------------- x.3o. .. .. | 3 0 | 3 0 0 0 0 | 2400 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 x. .. x. .. | 4 0 | 2 2 0 0 0 | * 3600 * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 .. o.3x. .. | 3 0 | 0 3 0 0 0 | * * 2400 * * * * * * * * | 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0 .. .. x.5/2o. | 5 0 | 0 5 0 0 0 | * * * 1440 * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0 xx .. .. .. &#x | 2 2 | 1 0 2 1 0 | * * * * 7200 * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 .. .. xo .. &#x | 2 1 | 0 1 2 0 0 | * * * * * 7200 * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0 .. .. .. ox &#x | 1 2 | 0 0 2 0 1 | * * * * * * 7200 * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0 .x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * * * 2400 * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 .x .. .. .x | 0 4 | 0 0 0 2 2 | * * * * * * * * 3600 * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1 .. .o .. .x3*b | 0 3 | 0 0 0 0 3 | * * * * * * * * * 2400 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1 .. .. .o5/2.x | 0 5 | 0 0 0 0 5 | * * * * * * * * * * 1440 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1 ---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+-------------------- x.3o.3x. .. ♦ 12 0 | 12 12 0 0 0 | 4 6 4 0 0 0 0 0 0 0 0 | 600 * * * * * * * * * * * * * | 1 1 0 0 0 0 x.3o. .. o.3*b ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | * 600 * * * * * * * * * * * * | 1 0 1 0 0 0 x. .. x.5/2o. ♦ 10 0 | 5 10 0 0 0 | 0 5 0 2 0 0 0 0 0 0 0 | * * 720 * * * * * * * * * * * | 1 0 0 1 0 0 .. o.3x.5/2o.3*b ♦ 20 0 | 0 60 0 0 0 | 0 0 20 12 0 0 0 0 0 0 0 | * * * 120 * * * * * * * * * * | 1 0 0 0 1 0 xx3oo .. .. &#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 0 3 0 0 1 0 0 0 | * * * * 2400 * * * * * * * * * | 0 1 1 0 0 0 xx .. xo .. &#x ♦ 4 2 | 2 2 4 1 0 | 0 1 0 0 2 2 0 0 0 0 0 | * * * * * 3600 * * * * * * * * | 0 1 0 1 0 0 xx .. .. ox &#x ♦ 2 4 | 1 0 4 2 2 | 0 0 0 0 2 0 2 0 1 0 0 | * * * * * * 3600 * * * * * * * | 0 0 1 1 0 0 .. oo3xo .. &#x ♦ 3 1 | 0 3 3 0 0 | 0 0 1 0 0 3 0 0 0 0 0 | * * * * * * * 2400 * * * * * * | 0 1 0 0 1 0 .. oo .. ox3*b &#x ♦ 1 3 | 0 0 3 0 3 | 0 0 0 0 0 0 3 0 0 1 0 | * * * * * * * * 2400 * * * * * | 0 0 1 0 1 0 .. .. xo5/2ox &#x ♦ 5 5 | 0 5 10 0 5 | 0 0 0 1 0 5 5 0 0 0 1 | * * * * * * * * * 1440 * * * * | 0 0 0 1 1 0 .x3.o3.o .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 0 0 4 0 0 0 | * * * * * * * * * * 600 * * * | 0 1 0 0 0 1 .x3.o .. .x3*b ♦ 0 12 | 0 0 0 12 12 | 0 0 0 0 0 0 0 4 6 4 0 | * * * * * * * * * * * 600 * * | 0 0 1 0 0 1 .x .. .o5/2.x ♦ 0 10 | 0 0 0 5 10 | 0 0 0 0 0 0 0 0 5 0 2 | * * * * * * * * * * * * 720 * | 0 0 0 1 0 1 .. .o3.o5/2.x3*b ♦ 0 20 | 0 0 0 0 60 | 0 0 0 0 0 0 0 0 0 20 12 | * * * * * * * * * * * * * 120 | 0 0 0 0 1 1 ---------------------+-----------+--------------------------+--------------------------------------------------------+---------------------------------------------------------------+-------------------- x.3o.3x.5/2o.3*b ♦ 2400 0 | 3600 7200 0 0 0 | 2400 3600 2400 1440 0 0 0 0 0 0 0 | 600 600 720 120 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * xx3oo3xo .. &#x ♦ 12 4 | 12 12 12 6 0 | 4 6 4 0 12 12 0 4 0 0 0 | 1 0 0 0 4 6 0 4 0 0 1 0 0 0 | * 600 * * * * xx3oo .. ox3*b &#x ♦ 4 12 | 6 0 12 12 12 | 4 0 0 0 12 0 12 4 6 4 0 | 0 1 0 0 4 0 6 0 4 0 0 1 0 0 | * * 600 * * * xx .. xo5/2ox &#x ♦ 10 10 | 5 10 20 5 10 | 0 5 0 2 10 10 10 0 5 0 2 | 0 0 1 0 0 5 5 0 0 2 0 0 1 0 | * * * 720 * * .. oo3xo5/2ox3*b &#x ♦ 20 20 | 0 60 60 0 60 | 0 0 20 12 0 60 60 0 0 20 12 | 0 0 0 1 0 0 0 20 20 12 0 0 0 1 | * * * * 120 * .x3.o3.o5/2.x3*b ♦ 0 2400 | 0 0 0 3600 7200 | 0 0 0 0 0 0 0 2400 3600 2400 1440 | 0 0 0 0 0 0 0 0 0 0 600 600 720 120 | * * * * * 1
or o.3o.3o.5/2o.3*b & | 4800 | 3 6 3 | 3 6 3 3 6 9 | 3 1 3 1 3 9 4 3 | 1 4 3 1 -----------------------+------+-----------------+--------------------------------+----------------------------------------+--------------- x. .. .. .. & | 2 | 7200 * * | 2 2 0 0 2 0 | 2 1 1 0 2 3 0 0 | 1 3 1 0 .. .. x. .. & | 2 | * 14400 * | 0 1 1 1 0 1 | 1 0 1 1 0 1 1 1 | 1 1 1 1 oo3oo3oo5/2oo3*b &#x | 2 | * * 7200 | 0 0 0 0 2 4 | 0 0 0 0 1 4 2 2 | 0 2 2 1 -----------------------+------+-----------------+--------------------------------+----------------------------------------+--------------- x.3o. .. .. & | 3 | 3 0 0 | 4800 * * * * * | 1 1 0 0 1 0 0 0 | 1 2 0 0 x. .. x. .. & | 4 | 2 2 0 | * 7200 * * * * | 1 0 1 0 0 1 0 0 | 1 1 1 0 .. o.3x. .. & | 3 | 0 3 0 | * * 4800 * * * | 1 0 0 1 0 0 1 0 | 1 1 0 1 .. .. x.5/2o. & | 5 | 0 5 0 | * * * 2880 * * | 0 0 1 1 0 0 0 1 | 1 0 1 1 xx .. .. .. &#x | 4 | 2 0 2 | * * * * 7200 * | 0 0 0 0 1 2 0 0 | 0 2 1 0 .. .. xo .. &#x & | 3 | 0 1 2 | * * * * * 14400 | 0 0 0 0 0 1 1 1 | 0 1 1 1 -----------------------+------+-----------------+--------------------------------+----------------------------------------+--------------- x.3o.3x. .. & ♦ 12 | 12 12 0 | 4 6 4 0 0 0 | 1200 * * * * * * * | 1 1 0 0 x.3o. .. o.3*b & ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | * 1200 * * * * * * | 1 1 0 0 x. .. x.5/2o. & ♦ 10 | 5 10 0 | 0 5 0 2 0 0 | * * 1440 * * * * * | 1 0 1 0 .. o.3x.5/2o.3*b & ♦ 20 | 0 60 0 | 0 0 20 12 0 0 | * * * 240 * * * * | 1 0 0 1 xx3oo .. .. &#x ♦ 6 | 6 0 3 | 2 0 0 0 3 0 | * * * * 2400 * * * | 0 2 0 0 xx .. xo .. &#x & ♦ 6 | 3 2 4 | 0 1 0 0 2 2 | * * * * * 7200 * * | 0 1 1 0 .. oo3xo .. &#x & ♦ 4 | 0 3 3 | 0 0 1 0 0 3 | * * * * * * 4800 * | 0 1 0 1 .. .. xo5/2ox &#x ♦ 10 | 0 10 10 | 0 0 0 2 0 10 | * * * * * * * 1440 | 0 0 1 1 -----------------------+------+-----------------+--------------------------------+----------------------------------------+--------------- x.3o.3x.5/2o.3*b & ♦ 2400 | 3600 7200 0 | 2400 3600 2400 1440 0 0 | 600 600 720 120 0 0 0 0 | 2 * * * xx3oo3xo .. &#x & ♦ 16 | 18 12 12 | 8 6 4 0 12 12 | 1 1 0 0 4 6 4 0 | * 1200 * * xx .. xo5/2ox &#x ♦ 20 | 10 20 20 | 0 10 0 4 10 20 | 0 0 2 0 0 10 0 2 | * * 720 * .. oo3xo5/2ox3*b &#x ♦ 40 | 0 120 60 | 0 0 40 24 0 120 | 0 0 0 2 0 0 40 12 | * * * 120
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