in approx. ASCII-art
x3o3o x3o3x o3o3x -- x3o3o3x (spid) x3o3o x3o3x o3o3x -- x3o3o3x (spid)
- related segmentotera:
- tepeacope
- general polytopal classes:
- Wythoffian polytera segmentotera lace simplices
links
| Acronym | spiddip |
| Name | small-prismatodecachoron prism |
| Circumradius | sqrt(5)/2 = 1.118034 |
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Lace city in approx. ASCII-art |
x3o3o x3o3x o3o3x -- x3o3o3x (spid) x3o3o x3o3x o3o3x -- x3o3o3x (spid) |
| Volume | 35 sqrt(5)/48 = 1.630466 |
| Face vector | 40, 140, 200, 130, 32 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3o3o3x . . . . . | 40 | 1 3 3 | 3 3 3 6 3 | 3 6 3 1 3 3 1 | 1 3 3 1 1 ----------+----+----------+----------------+----------------------+------------ x . . . . | 2 | 20 * * | 3 3 0 0 0 | 3 6 3 0 0 0 0 | 1 3 3 1 0 . x . . . | 2 | * 60 * | 1 0 2 2 0 | 2 2 0 1 2 1 0 | 1 2 1 0 1 . . . . x | 2 | * * 60 | 0 1 0 2 2 | 0 2 2 0 1 2 1 | 0 1 2 1 1 ----------+----+----------+----------------+----------------------+------------ x x . . . | 4 | 2 2 0 | 30 * * * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 x . . . x | 4 | 2 0 2 | * 30 * * * | 0 2 2 0 0 0 0 | 0 1 2 1 0 . x3o . . | 3 | 0 3 0 | * * 40 * * | 1 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 2 | * * * 60 * | 0 1 0 0 1 1 0 | 0 1 1 0 1 . . . o3x | 3 | 0 0 3 | * * * * 40 | 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+----+----------+----------------+----------------------+------------ x x3o . . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 20 * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 30 * * * * * | 0 1 1 0 0 x . . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 20 * * * * | 0 0 1 1 0 . x3o3o . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 10 * * * | 1 0 0 0 1 . x3o . x ♦ 6 | 0 6 3 | 0 0 2 3 0 | * * * * 20 * * | 0 1 0 0 1 . x . o3x ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * * 20 * | 0 0 1 0 1 . . o3o3x ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * * 10 | 0 0 0 1 1 ----------+----+----------+----------------+----------------------+------------ x x3o3o . ♦ 8 | 4 12 0 | 6 0 8 0 0 | 4 0 0 2 0 0 0 | 5 * * * * x x3o . x ♦ 12 | 6 12 6 | 6 3 4 6 0 | 2 3 0 0 2 0 0 | * 10 * * * x x . o3x ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 0 2 0 | * * 10 * * x . o3o3x ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 0 2 | * * * 5 * . x3o3o3x ♦ 20 | 0 30 30 | 0 0 20 30 20 | 0 0 0 5 10 10 5 | * * * * 2
or . . . . . | 40 | 1 6 | 6 6 6 | 6 6 2 6 | 2 6 1 -------------+----+--------+----------+-------------+-------- x . . . . | 2 | 20 * | 6 0 0 | 6 6 0 0 | 2 6 0 . x . . . & | 2 | * 120 | 1 2 2 | 2 2 1 3 | 1 3 1 -------------+----+--------+----------+-------------+-------- x x . . . & | 4 | 2 2 | 60 * * | 2 2 0 0 | 1 3 0 . x3o . . & | 3 | 0 3 | * 80 * | 1 0 1 1 | 1 1 1 . x . . x | 4 | 0 4 | * * 60 | 0 1 0 2 | 0 2 1 -------------+----+--------+----------+-------------+-------- x x3o . . & ♦ 6 | 3 6 | 3 2 0 | 40 * * * | 1 1 0 x x . . x ♦ 8 | 4 8 | 4 0 2 | * 30 * * | 0 2 0 . x3o3o . & ♦ 4 | 0 6 | 0 4 0 | * * 20 * | 1 0 1 . x3o . x & ♦ 6 | 0 9 | 0 2 3 | * * * 40 | 0 1 1 -------------+----+--------+----------+-------------+-------- x x3o3o . & ♦ 8 | 4 12 | 6 8 0 | 4 0 2 0 | 10 * * x x3o . x & ♦ 12 | 6 18 | 9 4 6 | 2 3 0 2 | * 20 * . x3o3o3x ♦ 20 | 0 60 | 0 40 30 | 0 0 10 20 | * * 2
xx3oo3oo3xx&#x → height = 1
(spid || spid)
o.3o.3o.3o. | 20 * | 3 3 1 0 0 | 3 6 3 3 3 0 0 0 | 1 3 3 1 3 6 3 0 0 0 0 | 1 1 3 3 1 0
.o3.o3.o3.o | * 20 | 0 0 1 3 3 | 0 0 0 3 3 3 6 3 | 0 0 0 0 3 6 3 1 3 3 1 | 0 1 3 3 1 1
---------------+-------+----------------+-------------------------+------------------------------+--------------
x. .. .. .. | 2 0 | 30 * * * * | 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 | * 30 * * * | 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
oo3oo3oo3oo&#x | 1 1 | * * 20 * * | 0 0 0 3 3 0 0 0 | 0 0 0 0 3 6 3 0 0 0 0 | 0 1 3 3 1 0
.x .. .. .. | 0 2 | * * * 30 * | 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 | * * * * 30 | 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 | 20 * * * * * * * | 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 | * 30 * * * * * * | 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 | * * 20 * * * * * | 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 | * * * 30 * * * * | 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 | * * * * 30 * * * | 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 | * * * * * 20 * * | 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 | * * * * * * 30 * | 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 | * * * * * * * 20 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------+-------------------------+------------------------------+--------------
x.3o.3o. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 5 * * * * * * * * * * | 1 1 0 0 0 0
x.3o. .. x. ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 | * 10 * * * * * * * * * | 1 0 1 0 0 0
x. .. o.3x. ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 | * * 10 * * * * * * * * | 1 0 0 1 0 0
.. o.3o.3x. ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 | * * * 5 * * * * * * * | 1 0 0 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * * * * 20 * * * * * * | 0 1 1 0 0 0
xx .. .. xx&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * * * * 30 * * * * * | 0 0 1 1 0 0
.. .. oo3xx&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 3 0 0 1 | * * * * * * 20 * * * * | 0 0 0 1 1 0
.x3.o3.o .. ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * 5 * * * | 0 1 0 0 0 1
.x3.o .. .x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * * 10 * * | 0 0 1 0 0 1
.x .. .o3.x ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * * 10 * | 0 0 0 1 0 1
.. .o3.o3.x ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * 5 | 0 0 0 0 1 1
---------------+-------+----------------+-------------------------+------------------------------+--------------
x.3o.3o.3x. ♦ 20 0 | 30 30 0 0 0 | 20 30 20 0 0 0 0 0 | 5 10 10 5 0 0 0 0 0 0 0 | 1 * * * * *
xx3oo3oo ..&#x ♦ 4 4 | 6 0 4 6 0 | 4 0 0 6 0 4 0 0 | 1 0 0 0 4 0 0 1 0 0 0 | * 5 * * * *
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 | * * 10 * * *
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 | * * * 10 * *
.. oo3oo3xx&#x ♦ 4 4 | 0 6 4 0 6 | 0 0 4 0 6 0 0 4 | 0 0 0 1 0 0 4 0 0 0 1 | * * * * 5 *
.x3.o3.o3.x ♦ 0 20 | 0 0 0 30 30 | 0 0 0 0 0 20 30 20 | 0 0 0 0 0 0 0 5 10 10 5 | * * * * * 1
or o.3o.3o.3o. | 20 * | 6 1 0 | 6 6 6 0 0 | 2 6 6 6 0 0 | 1 2 6 0 .o3.o3.o3.o | * 20 | 0 1 6 | 0 0 6 6 6 | 0 0 6 6 2 6 | 0 2 6 1 ------------------+-------+----------+----------------+-------------------+---------- x. .. .. .. & | 2 0 | 60 * * | 2 2 1 0 0 | 1 3 2 2 0 0 | 1 1 3 0 oo3oo3oo3oo&#x | 1 1 | * 20 * | 0 0 6 0 0 | 0 0 6 6 0 0 | 0 2 6 0 .x .. .. .. & | 0 2 | * * 60 | 0 0 1 2 2 | 0 0 2 2 1 3 | 0 1 3 1 ------------------+-------+----------+----------------+-------------------+---------- x.3o. .. .. & | 3 0 | 3 0 0 | 40 * * * * | 1 1 1 0 0 0 | 1 1 1 0 x. .. .. x. | 4 0 | 4 0 0 | * 30 * * * | 0 2 0 1 0 0 | 1 0 2 0 xx .. .. ..&#x & | 2 2 | 1 2 1 | * * 60 * * | 0 0 2 2 0 0 | 0 1 3 0 .x3.o .. .. & | 0 3 | 0 0 3 | * * * 40 * | 0 0 1 0 1 1 | 0 1 1 1 .x .. .. .x | 0 4 | 0 0 4 | * * * * 30 | 0 0 0 1 0 2 | 0 0 2 1 ------------------+-------+----------+----------------+-------------------+---------- x.3o.3o. .. & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 10 * * * * * | 1 1 0 0 x.3o. .. x. & ♦ 6 0 | 9 0 0 | 2 3 0 0 0 | * 20 * * * * | 1 0 1 0 xx3oo .. ..&#x & ♦ 3 3 | 3 3 3 | 1 0 3 1 0 | * * 40 * * * | 0 1 1 0 xx .. .. xx&#x ♦ 4 4 | 4 4 4 | 0 1 4 0 1 | * * * 30 * * | 0 0 2 0 .x3.o3.o .. & ♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * * 10 * | 0 1 0 1 .x3.o .. .x & ♦ 0 6 | 0 0 9 | 0 0 0 2 3 | * * * * * 20 | 0 0 1 1 ------------------+-------+----------+----------------+-------------------+---------- x.3o.3o.3x. ♦ 20 0 | 60 0 0 | 40 30 0 0 0 | 10 20 0 0 0 0 | 1 * * * xx3oo3oo ..&#x & ♦ 4 4 | 6 4 6 | 4 0 6 4 0 | 1 0 4 0 1 0 | * 10 * * xx3oo .. xx&#x & ♦ 6 6 | 9 6 9 | 2 3 9 2 3 | 0 1 2 3 0 1 | * * 20 * .x3.o3.o3.x ♦ 0 20 | 0 0 60 | 0 0 0 40 30 | 0 0 0 0 10 20 | * * * 1
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