- general polytopal classes:
- Wythoffian polytera segmentotera lace simplices
links
| Acronym | decap |
| Name | decachoron prism |
| Circumradius | 1.5 |
| Volume | 115 sqrt(5)/48 = 5.357246 |
| Face vector | 60, 150, 140, 60, 12 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
x o3x3x3o . . . . . | 60 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ----------+----+----------+----------------+----------------+------ x . . . . | 2 | 30 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . . x . . | 2 | * 60 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 60 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ----------+----+----------+----------------+----------------+------ x . x . . | 4 | 2 2 0 | 30 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 30 * * * | 0 2 1 0 0 | 1 2 0 . o3x . . | 3 | 0 3 0 | * * 20 * * | 1 0 0 2 0 | 2 0 1 . . x3x . | 6 | 0 3 3 | * * * 40 * | 0 1 0 1 1 | 1 1 1 . . . x3o | 3 | 0 0 3 | * * * * 20 | 0 0 1 0 2 | 0 2 1 ----------+----+----------+----------------+----------------+------ x o3x . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 10 * * * * | 2 0 0 x . x3x . ♦ 12 | 6 6 6 | 3 3 0 2 0 | * 20 * * * | 1 1 0 x . . x3o ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 10 * * | 0 2 0 . o3x3x . ♦ 12 | 0 12 6 | 0 0 4 4 0 | * * * 10 * | 1 0 1 . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * 10 | 0 1 1 ----------+----+----------+----------------+----------------+------ x o3x3x . ♦ 24 | 12 24 12 | 12 6 8 8 0 | 4 4 0 2 0 | 5 * * x . x3x3o ♦ 24 | 12 12 24 | 6 12 0 8 8 | 0 4 4 0 2 | * 5 * . o3x3x3o ♦ 30 | 0 30 30 | 0 0 10 20 10 | 0 0 0 5 5 | * * 2
or . . . . . | 60 | 1 4 | 4 2 4 | 2 4 4 | 4 1 -------------+----+--------+----------+----------+----- x . . . . | 2 | 30 * | 4 0 0 | 2 4 0 | 4 0 . . x . . & | 2 | * 120 | 1 1 2 | 1 2 3 | 3 1 -------------+----+--------+----------+----------+----- x . x . . & | 4 | 2 2 | 60 * * | 1 2 0 | 3 0 . o3x . . & | 3 | 0 3 | * 40 * | 1 0 2 | 2 1 . . x3x . | 6 | 0 6 | * * 40 | 0 1 2 | 2 1 -------------+----+--------+----------+----------+----- x o3x . . & ♦ 6 | 3 6 | 3 2 0 | 20 * * | 2 0 x . x3x . ♦ 12 | 6 12 | 6 0 2 | * 20 * | 2 0 . o3x3x . & ♦ 12 | 0 18 | 0 4 4 | * * 20 | 1 1 -------------+----+--------+----------+----------+----- x o3x3x . & ♦ 24 | 12 36 | 18 8 8 | 4 4 2 | 10 * . o3x3x3o ♦ 30 | 0 60 | 0 20 20 | 0 0 10 | * 2
oo3xx3xx3oo&#x → height = 1
(deca || deca)
o.3o.3o.3o. | 30 * | 2 2 1 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.o3.o3.o3.o | * 30 | 0 0 1 2 2 | 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
---------------+-------+----------------+-------------------------+------------------+--------
.. x. .. .. | 2 0 | 30 * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x. .. | 2 0 | * 30 * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
oo3oo3oo3oo&#x | 1 1 | * * 30 * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .x .. .. | 0 2 | * * * 30 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x .. | 0 2 | * * * * 30 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------+-------+----------------+-------------------------+------------------+--------
o.3x. .. .. | 3 0 | 3 0 0 0 0 | 10 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. x.3x. .. | 6 0 | 3 3 0 0 0 | * 20 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.3o. | 3 0 | 0 3 0 0 0 | * * 10 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
.. xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 30 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 30 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.o3.x .. .. | 0 3 | 0 0 0 3 0 | * * * * * 10 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .x3.x .. | 0 6 | 0 0 0 3 3 | * * * * * * 20 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * * 10 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------+-------+----------------+-------------------------+------------------+--------
o.3x.3x. .. ♦ 12 0 | 12 6 0 0 0 | 4 4 0 0 0 0 0 0 | 5 * * * * * * | 1 1 0 0
.. x.3x.3o. ♦ 12 0 | 6 12 0 0 0 | 0 4 4 0 0 0 0 0 | * 5 * * * * * | 1 0 1 0
oo3xx .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * 10 * * * * | 0 2 0 0
.. xx3xx ..&#x ♦ 6 6 | 3 3 6 3 3 | 0 1 0 3 3 0 1 0 | * * * 20 * * * | 0 1 1 0
.. .. xx3oo&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 3 0 0 1 | * * * * 10 * * | 0 0 2 0
.o3.x3.x .. ♦ 0 12 | 0 0 0 12 6 | 0 0 0 0 0 4 4 0 | * * * * * 5 * | 0 1 0 1
.. .x3.x3.o ♦ 0 12 | 0 0 0 6 12 | 0 0 0 0 0 0 4 4 | * * * * * * 5 | 0 0 1 1
---------------+-------+----------------+-------------------------+------------------+--------
o.3x.3x.3o. ♦ 30 0 | 30 30 0 0 0 | 10 20 10 0 0 0 0 0 | 5 5 0 0 0 0 0 | 1 * * *
oo3xx3xx ..&#x ♦ 12 12 | 12 6 12 12 6 | 4 4 0 12 6 4 4 0 | 1 0 4 4 0 1 0 | * 5 * *
.. xx3xx3oo&#x ♦ 12 12 | 6 12 12 6 12 | 0 4 4 6 12 0 4 4 | 0 1 0 4 4 0 1 | * * 5 *
.o3.x3.x3.o ♦ 0 30 | 0 0 0 30 30 | 0 0 0 0 0 10 20 10 | 0 0 0 0 0 5 5 | * * * 1
or o.3o.3o.3o. | 30 * | 4 1 0 | 2 4 4 0 0 | 4 2 4 0 | 1 4 0 .o3.o3.o3.o | * 30 | 0 1 4 | 0 0 4 2 4 | 0 2 4 4 | 0 4 1 ------------------+-------+----------+----------------+-------------+------- .. x. .. .. & | 2 0 | 60 * * | 1 2 1 0 0 | 3 1 2 0 | 1 3 0 oo3oo3oo3oo&#x | 1 1 | * 30 * | 0 0 4 0 0 | 0 2 4 0 | 0 4 0 .. .x .. .. & | 0 2 | * * 60 | 0 0 1 1 2 | 0 1 2 3 | 0 3 1 ------------------+-------+----------+----------------+-------------+------- o.3x. .. .. & | 3 0 | 3 0 0 | 20 * * * * | 2 1 0 0 | 1 2 0 .. x.3x. .. | 6 0 | 6 0 0 | * 20 * * * | 2 0 1 0 | 1 2 0 .. xx .. ..&#x & | 2 2 | 1 2 1 | * * 60 * * | 0 1 2 0 | 0 3 0 .o3.x .. .. & | 0 3 | 0 0 3 | * * * 20 * | 0 1 0 2 | 0 2 1 .. .x3.x .. | 0 6 | 0 0 6 | * * * * 20 | 0 0 1 2 | 0 2 1 ------------------+-------+----------+----------------+-------------+------- o.3x.3x. .. & ♦ 12 0 | 18 0 0 | 4 4 0 0 0 | 10 * * * | 1 1 0 oo3xx .. ..&#x & ♦ 3 3 | 3 3 3 | 1 0 3 1 0 | * 20 * * | 0 2 0 .. xx3xx ..&#x ♦ 6 6 | 6 6 6 | 0 1 6 0 1 | * * 20 * | 0 2 0 .o3.x3.x .. & ♦ 0 12 | 0 0 18 | 0 0 0 4 4 | * * * 10 | 0 1 1 ------------------+-------+----------+----------------+-------------+------- o.3x.3x.3o. ♦ 30 0 | 60 0 0 | 20 20 0 0 0 | 10 0 0 0 | 1 * * oo3xx3xx ..&#x & ♦ 12 12 | 18 12 18 | 4 4 18 4 4 | 1 4 4 1 | * 10 * .o3.x3.x3.o ♦ 0 30 | 0 0 60 | 0 0 0 20 20 | 0 0 0 10 | * * 1
© 2004-2024 | top of page |