vertex figure of riffy
(at margins)
- general polytopal classes:
- Wythoffian polyexa segmentoexa
links
| Acronym | jakip |
| Name |
icosihepta-heptacontidi-peton prism, vertex figure of riffy |
| Circumradius | sqrt(11/12) = 0.957427 |
| Volume | sqrt(3)/16 = 0.108253 |
|
Dihedral angles
(at margins) | |
| Face vector | 54, 459, 1656, 2880, 2376, 846, 101 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3o3o3o3o *d3o . . . . . . . | 54 | 1 16 | 16 80 | 80 160 | 160 80 40 | 80 40 16 10 | 16 10 1 -----------------+----+--------+----------+----------+--------------+----------------+-------- x . . . . . . | 2 | 27 * ♦ 16 0 | 80 0 | 160 0 0 | 80 40 0 0 | 16 10 0 . x . . . . . | 2 | * 432 | 1 10 | 10 30 | 30 20 10 | 20 10 5 5 | 5 5 1 -----------------+----+--------+----------+----------+--------------+----------------+-------- x x . . . . . | 4 | 2 2 | 216 * ♦ 10 0 | 30 0 0 | 20 10 0 0 | 5 5 0 . x3o . . . . | 3 | 0 3 | * 1440 | 1 6 | 6 6 3 | 6 3 2 3 | 2 3 1 -----------------+----+--------+----------+----------+--------------+----------------+-------- x x3o . . . . ♦ 6 | 3 6 | 3 2 | 720 * ♦ 6 0 0 | 6 3 0 0 | 2 3 0 . x3o3o . . . ♦ 4 | 0 6 | 0 4 | * 2160 | 1 2 1 | 2 1 1 2 | 1 2 1 -----------------+----+--------+----------+----------+--------------+----------------+-------- x x3o3o . . . ♦ 8 | 4 12 | 6 8 | 4 2 | 1080 * * | 2 1 0 0 | 1 2 0 . x3o3o3o . . ♦ 5 | 0 10 | 0 10 | 0 5 | * 864 * | 1 0 1 1 | 1 1 1 . x3o3o . . *d3o ♦ 5 | 0 10 | 0 10 | 0 5 | * * 432 | 0 1 0 2 | 0 2 1 -----------------+----+--------+----------+----------+--------------+----------------+-------- x x3o3o3o . . ♦ 10 | 5 20 | 10 20 | 10 10 | 5 2 0 | 432 * * * | 1 1 0 x x3o3o . . *d3o ♦ 10 | 5 20 | 10 20 | 10 10 | 5 0 2 | * 216 * * | 0 2 0 . x3o3o3o3o . ♦ 6 | 0 15 | 0 20 | 0 15 | 0 6 0 | * * 144 * | 1 0 1 . x3o3o3o . *d3o ♦ 10 | 0 40 | 0 80 | 0 80 | 0 16 16 | * * * 54 | 0 1 1 -----------------+----+--------+----------+----------+--------------+----------------+-------- x x3o3o3o3o . ♦ 12 | 6 30 | 15 40 | 20 30 | 15 12 0 | 6 0 2 0 | 72 * * x x3o3o3o . *d3o ♦ 20 | 10 80 | 40 160 | 80 160 | 80 32 32 | 16 16 0 2 | * 27 * . x3o3o3o3o *d3o ♦ 27 | 0 216 | 0 720 | 0 1080 | 0 432 216 | 0 0 72 27 | * * 2
xx3oo3oo3oo3oo *c3oo&#x → height = 1
(jak || jak)
o.3o.3o.3o.3o. *c3o. | 27 * | 16 1 0 | 80 16 0 | 160 80 0 | 80 40 160 0 0 | 16 10 80 40 0 0 | 1 16 10 0
.o3.o3.o3.o3.o *c3.o | * 27 | 0 1 16 | 0 16 80 | 0 80 160 | 0 0 160 80 40 | 0 0 80 40 16 10 | 0 16 10 1
------------------------+-------+------------+-------------+---------------+----------------------+---------------------+----------
x. .. .. .. .. .. | 2 0 | 216 * * | 10 1 0 | 30 10 0 | 20 10 30 0 0 | 5 5 20 10 0 0 | 1 5 5 0
oo3oo3oo3oo3oo *c3oo&#x | 1 1 | * 27 * ♦ 0 16 0 | 0 80 0 | 0 0 160 0 0 | 0 0 80 40 0 0 | 0 16 10 0
.x .. .. .. .. .. | 0 2 | * * 216 | 0 1 10 | 0 10 30 | 0 0 30 20 10 | 0 0 20 10 5 5 | 0 5 5 1
------------------------+-------+------------+-------------+---------------+----------------------+---------------------+----------
x.3o. .. .. .. .. | 3 0 | 3 0 0 | 720 * * | 6 1 0 | 6 3 6 0 0 | 2 3 6 3 0 0 | 1 2 3 0
xx .. .. .. .. ..&#x | 2 2 | 1 2 1 | * 216 * ♦ 0 10 0 | 0 0 30 0 0 | 0 0 20 10 0 0 | 0 5 5 0
.x3.o .. .. .. .. | 0 3 | 0 0 3 | * * 720 | 0 1 6 | 0 0 6 6 3 | 0 0 6 3 2 3 | 0 2 3 1
------------------------+-------+------------+-------------+---------------+----------------------+---------------------+----------
x.3o.3o. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 | 1080 * * | 2 1 1 0 0 | 1 2 2 1 0 0 | 1 1 2 0
xx3oo .. .. .. ..&#x ♦ 3 3 | 3 3 3 | 1 3 1 | * 720 * ♦ 0 0 6 0 0 | 0 0 6 3 0 0 | 0 2 3 0
.x3.o3.o .. .. .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 1080 | 0 0 1 2 1 | 0 0 2 1 1 2 | 0 1 2 1
------------------------+-------+------------+-------------+---------------+----------------------+---------------------+----------
x.3o.3o.3o. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | 432 * * * * | 1 1 1 0 0 0 | 1 1 1 0
x.3o.3o. .. .. *c3o. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | * 216 * * * | 0 2 0 1 0 0 | 1 0 2 0
xx3oo3oo .. .. ..&#x ♦ 4 4 | 6 4 6 | 4 6 4 | 1 4 1 | * * 1080 * * | 0 0 2 1 0 0 | 0 1 2 0
.x3.o3.o3.o .. .. ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * * 432 * | 0 0 1 0 1 1 | 0 1 1 1
.x3.o3.o .. .. *c3.o ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * * * 216 | 0 0 0 1 0 2 | 0 0 2 1
------------------------+-------+------------+-------------+---------------+----------------------+---------------------+----------
x.3o.3o.3o.3o. .. ♦ 6 0 | 15 0 0 | 20 0 0 | 15 0 0 | 6 0 0 0 0 | 72 * * * * * | 1 1 0 0
x.3o.3o.3o. .. *c3o. ♦ 10 0 | 40 0 0 | 80 0 0 | 80 0 0 | 16 16 0 0 0 | * 27 * * * * | 1 0 1 0
xx3oo3oo3oo .. ..&#x ♦ 5 5 | 10 5 10 | 10 10 10 | 5 10 5 | 1 0 5 1 0 | * * 432 * * * | 0 1 1 0
xx3oo3oo .. .. *c3oo&#x ♦ 5 5 | 10 5 10 | 10 10 10 | 5 10 5 | 0 1 5 0 1 | * * * 216 * * | 0 0 2 0
.x3.o3.o3.o3.o .. ♦ 0 6 | 0 0 15 | 0 0 20 | 0 0 15 | 0 0 0 6 0 | * * * * 72 * | 0 1 0 1
.x3.o3.o3.o .. *c3.o ♦ 0 10 | 0 0 40 | 0 0 80 | 0 0 80 | 0 0 0 16 16 | * * * * * 27 | 0 0 1 1
------------------------+-------+------------+-------------+---------------+----------------------+---------------------+----------
x.3o.3o.3o.3o. *c3o. ♦ 27 0 | 216 0 0 | 720 0 0 | 1080 0 0 | 432 216 0 0 0 | 72 27 0 0 0 0 | 1 * * *
xx3oo3oo3oo3oo .. ♦ 6 6 | 15 6 15 | 20 15 20 | 15 20 15 | 6 0 15 6 0 | 1 0 6 0 1 0 | * 72 * *
xx3oo3oo3oo .. *c3oo&#x ♦ 10 10 | 40 10 40 | 80 40 80 | 80 80 80 | 16 16 80 16 16 | 0 1 16 16 0 1 | * * 27 *
.x3.o3.o3.o3.o *c3.o ♦ 0 27 | 0 0 216 | 0 0 720 | 0 0 1080 | 0 0 0 432 216 | 0 0 0 0 72 27 | * * * 1
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