runcinated-icositetrachoron prism
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | spiccup |
| Name |
small-prismatotetracontoctachoron prism, runcinated-icositetrachoron prism |
| Circumradius | sqrt(2)+1/2 = 1.914214 |
| Face vector | 288, 1296, 1920, 1152, 242 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3o4o3x . . . . . | 288 | 1 4 4 | 4 4 4 8 4 | 4 8 4 1 4 4 1 | 1 4 4 1 1 ----------+-----+-------------+---------------------+---------------------------+-------------- x . . . . | 2 | 144 * * | 4 4 0 0 0 | 4 8 4 0 0 0 0 | 1 4 4 1 0 . x . . . | 2 | * 576 * | 1 0 2 2 0 | 2 2 0 1 2 1 0 | 1 2 1 0 1 . . . . x | 2 | * * 576 | 0 1 0 2 2 | 0 2 2 0 1 2 1 | 0 1 2 1 1 ----------+-----+-------------+---------------------+---------------------------+-------------- x x . . . | 4 | 2 2 0 | 288 * * * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 x . . . x | 4 | 2 0 2 | * 288 * * * | 0 2 2 0 0 0 0 | 0 1 2 1 0 . x3o . . | 3 | 0 3 0 | * * 384 * * | 1 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 2 | * * * 576 * | 0 1 0 0 1 1 0 | 0 1 1 0 1 . . . o3x | 3 | 0 0 3 | * * * * 384 | 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+-------------+---------------------+---------------------------+-------------- x x3o . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 192 * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 288 * * * * * | 0 1 1 0 0 x . . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 192 * * * * | 0 0 1 1 0 . x3o4o . ♦ 6 | 0 12 0 | 0 0 8 0 0 | * * * 48 * * * | 1 0 0 0 1 . x3o . x ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * * 192 * * | 0 1 0 0 1 . x . o3x ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * * 192 * | 0 0 1 0 1 . . o4o3x ♦ 6 | 0 0 12 | 0 0 0 0 8 | * * * * * * 48 | 0 0 0 1 1 ----------+-----+-------------+---------------------+---------------------------+-------------- x x3o4o . ♦ 12 | 6 24 0 | 12 0 16 0 0 | 8 0 0 2 0 0 0 | 24 * * * * x x3o . x ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 0 2 0 0 | * 96 * * * x x . o3x ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 0 2 0 | * * 96 * * x . o4o3x ♦ 12 | 6 0 24 | 0 12 0 0 16 | 0 0 8 0 0 0 2 | * * * 24 * . x3o4o3x ♦ 144 | 0 288 288 | 0 0 192 288 192 | 0 0 0 24 96 96 24 | * * * * 2
or . . . . . | 288 | 1 8 | 8 8 8 | 8 8 2 8 | 2 8 1 -------------+-----+----------+-------------+----------------+--------- x . . . . | 2 | 144 * | 8 0 0 | 8 8 0 0 | 2 8 0 . x . . . & | 2 | * 1152 | 1 2 2 | 2 2 2 3 | 1 3 1 -------------+-----+----------+-------------+----------------+--------- x x . . . & | 4 | 2 2 | 576 * * | 2 2 0 0 | 1 3 0 . x3o . . & | 3 | 0 3 | * 768 * | 1 0 1 1 | 1 1 1 . x . . x | 4 | 0 4 | * * 576 | 0 1 0 2 | 0 2 1 -------------+-----+----------+-------------+----------------+--------- x x3o . . & ♦ 6 | 3 6 | 3 2 0 | 384 * * * | 1 1 0 x x . . x ♦ 8 | 4 8 | 4 0 2 | * 288 * * | 0 2 0 . x3o4o . & ♦ 6 | 0 12 | 0 8 0 | * * 96 * | 1 0 1 . x3o . x & ♦ 6 | 0 9 | 0 2 3 | * * * 384 | 0 1 1 -------------+-----+----------+-------------+----------------+--------- x x3o4o . & ♦ 12 | 6 24 | 12 16 0 | 8 0 2 0 | 48 * * x x3o . x & ♦ 12 | 6 18 | 9 4 6 | 2 3 0 2 | * 192 * . x3o4o3x ♦ 144 | 0 576 | 0 384 288 | 0 0 48 192 | * * 2
xx3oo4oo3xx&#x → height = 1 o.3o.4o.3o. | 144 * | 4 4 1 0 0 | 4 8 4 4 4 0 0 0 | 1 4 4 1 4 8 4 0 0 0 0 | 1 1 4 4 1 0 .o3.o4.o3.o | * 144 | 0 0 1 4 4 | 0 0 0 4 4 4 8 4 | 0 0 0 0 4 8 4 1 4 4 1 | 0 1 4 4 1 1 ---------------+---------+---------------------+---------------------------------+-------------------------------------+---------------- x. .. .. .. | 2 0 | 288 * * * * | 2 2 0 1 0 0 0 0 | 1 2 1 0 2 2 0 0 0 0 0 | 1 1 2 1 0 0 .. .. .. x. | 2 0 | * 288 * * * | 0 2 2 0 1 0 0 0 | 0 1 2 1 0 2 2 0 0 0 0 | 1 0 1 2 1 0 oo3oo4oo3oo&#x | 1 1 | * * 144 * * | 0 0 0 4 4 0 0 0 | 0 0 0 0 4 8 4 0 0 0 0 | 0 1 4 4 1 0 .x .. .. .. | 0 2 | * * * 288 * | 0 0 0 1 0 2 2 0 | 0 0 0 0 2 2 0 1 2 1 0 | 0 1 2 1 0 1 .. .. .. .x | 0 2 | * * * * 288 | 0 0 0 0 1 0 2 2 | 0 0 0 0 0 2 2 0 1 2 1 | 0 0 1 2 1 1 ---------------+---------+---------------------+---------------------------------+-------------------------------------+---------------- x.3o. .. .. | 3 0 | 3 0 0 0 0 | 192 * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 | 1 1 1 0 0 0 x. .. .. x. | 4 0 | 2 2 0 0 0 | * 288 * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 | 1 0 1 1 0 0 .. .. o.3x. | 3 0 | 0 3 0 0 0 | * * 192 * * * * * | 0 0 1 1 0 0 1 0 0 0 0 | 1 0 0 1 1 0 xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 288 * * * * | 0 0 0 0 2 2 0 0 0 0 0 | 0 1 2 1 0 0 .. .. .. xx&#x | 2 2 | 0 1 2 0 1 | * * * * 288 * * * | 0 0 0 0 0 2 2 0 0 0 0 | 0 0 1 2 1 0 .x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * 192 * * | 0 0 0 0 1 0 0 1 1 0 0 | 0 1 1 0 0 1 .x .. .. .x | 0 4 | 0 0 0 2 2 | * * * * * * 288 * | 0 0 0 0 0 1 0 0 1 1 0 | 0 0 1 1 0 1 .. .. .o3.x | 0 3 | 0 0 0 0 3 | * * * * * * * 192 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1 ---------------+---------+---------------------+---------------------------------+-------------------------------------+---------------- x.3o.4o. .. ♦ 6 0 | 12 0 0 0 0 | 8 0 0 0 0 0 0 0 | 24 * * * * * * * * * * | 1 1 0 0 0 0 x.3o. .. x. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 | * 96 * * * * * * * * * | 1 0 1 0 0 0 x. .. o.3x. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 | * * 96 * * * * * * * * | 1 0 0 1 0 0 .. o.4o.3x. ♦ 6 0 | 0 12 0 0 0 | 0 0 8 0 0 0 0 0 | * * * 24 * * * * * * * | 1 0 0 0 1 0 xx3oo .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * * * 192 * * * * * * | 0 1 1 0 0 0 xx .. .. xx&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * * * 288 * * * * * | 0 0 1 1 0 0 .. .. oo3xx&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 3 0 0 1 | * * * * * * 192 * * * * | 0 0 0 1 1 0 .x3.o4.o .. ♦ 0 6 | 0 0 0 12 0 | 0 0 0 0 0 8 0 0 | * * * * * * * 24 * * * | 0 1 0 0 0 1 .x3.o .. .x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * * 96 * * | 0 0 1 0 0 1 .x .. .o3.x ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * * 96 * | 0 0 0 1 0 1 .. .o4.o3.x ♦ 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 0 8 | * * * * * * * * * * 24 | 0 0 0 0 1 1 ---------------+---------+---------------------+---------------------------------+-------------------------------------+---------------- x.3o.4o.3x. ♦ 144 0 | 288 288 0 0 0 | 192 288 192 0 0 0 0 0 | 24 96 96 24 0 0 0 0 0 0 0 | 1 * * * * * xx3oo4oo ..&#x ♦ 6 6 | 12 0 6 12 0 | 8 0 0 12 0 8 0 0 | 1 0 0 0 8 0 0 1 0 0 0 | * 24 * * * * 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 | * * 96 * * * 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 | * * * 96 * * .. oo4oo3xx&#x ♦ 6 6 | 0 12 6 0 12 | 0 0 8 0 12 0 0 8 | 0 0 0 1 0 0 8 0 0 0 1 | * * * * 24 * .x3.o4.o3.x ♦ 0 144 | 0 0 0 288 288 | 0 0 0 0 0 192 288 192 | 0 0 0 0 0 0 0 24 96 96 24 | * * * * * 1
or o.3o.4o.3o. | 144 * | 8 1 0 | 8 8 8 0 0 | 2 4 8 8 0 0 | 1 2 8 0 .o3.o4.o3.o | * 144 | 0 1 8 | 0 0 8 8 8 | 0 0 8 8 2 4 | 0 2 8 1 ------------------+---------+-------------+---------------------+-----------------------+----------- x. .. .. .. & | 2 0 | 576 * * | 2 2 1 0 0 | 1 3 2 2 0 0 | 1 1 3 0 oo3oo4oo3oo&#x | 1 1 | * 144 * | 0 0 8 0 0 | 0 0 8 8 0 0 | 0 2 8 0 .x .. .. .. & | 0 2 | * * 576 | 0 0 1 2 2 | 0 0 2 2 1 3 | 0 1 3 1 ------------------+---------+-------------+---------------------+-----------------------+----------- x.3o. .. .. & | 3 0 | 3 0 0 | 384 * * * * | 1 1 1 0 0 0 | 1 1 1 0 x. .. .. x. | 4 0 | 4 0 0 | * 288 * * * | 0 2 0 1 0 0 | 1 0 2 0 xx .. .. ..&#x & | 2 2 | 1 2 1 | * * 576 * * | 0 0 2 2 0 0 | 0 1 3 0 .x3.o .. .. & | 0 3 | 0 0 3 | * * * 384 * | 0 0 1 0 1 1 | 0 1 1 1 .x .. .. .x | 0 4 | 0 0 4 | * * * * 288 | 0 0 0 1 0 2 | 0 0 2 1 ------------------+---------+-------------+---------------------+-----------------------+----------- x.3o.4o. .. & ♦ 6 0 | 12 0 0 | 8 0 0 0 0 | 48 * * * * * | 1 1 0 0 x.3o. .. x. & ♦ 6 0 | 9 0 0 | 2 3 0 0 0 | * 192 * * * * | 1 0 1 0 xx3oo .. ..&#x & ♦ 3 3 | 3 3 3 | 1 0 3 1 0 | * * 384 * * * | 0 1 1 0 xx .. .. xx&#x ♦ 4 4 | 4 4 4 | 0 1 4 0 1 | * * * 288 * * | 0 0 2 0 .x3.o4.o .. & ♦ 0 6 | 0 0 12 | 0 0 0 8 0 | * * * * 48 * | 0 1 0 1 .x3.o .. .x & ♦ 0 6 | 0 0 9 | 0 0 0 2 3 | * * * * * 192 | 0 0 1 1 ------------------+---------+-------------+---------------------+-----------------------+----------- x.3o.4o.3x. ♦ 144 0 | 576 0 0 | 384 288 0 0 0 | 48 192 0 0 0 0 | 1 * * * xx3oo4oo ..&#x & ♦ 6 6 | 12 6 12 | 8 0 12 8 0 | 1 0 8 0 1 0 | * 48 * * xx3oo .. xx&#x & ♦ 6 6 | 9 6 9 | 2 3 9 2 3 | 0 1 2 3 0 1 | * * 192 * .x3.o4.o3.x ♦ 0 144 | 0 0 576 | 0 0 0 384 288 | 0 0 0 0 48 192 | * * * 1
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