- more general:
- n,co-dip
- uniform relative:
- nit
- relatedsegmentotera:
- squatricu
- general polytopal classes:
- Wythoffian polytera segmentotera lace simplices
links
| Acronym | squaco |
| Name | square-cuboctahedron duoprism |
| Circumradius | sqrt(3/2) = 1.224745 |
| Volume | 5 sqrt(2)/3 = 2.357023 |
| Face vector | 48, 144, 164, 84, 18 |
| Confer |
|
| External links | |
Incidence matrix according toDynkin symbol
x4o o3x4o. . . . . | 48 | 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2----------+----+-------+-------------+------------+------x . . . . | 2 | 48 * | 1 4 0 0 | 4 2 2 0 | 2 2 1. . . x . | 2 | * 96 | 0 2 1 1 | 1 2 2 1 | 1 1 2----------+----+-------+-------------+------------+------x4o . . . | 4 | 4 0 | 12 * * * | 4 0 0 0 | 2 2 0x . . x . | 4 | 2 2 | * 96 * * | 1 1 1 0 | 1 1 1. . o3x . | 3 | 0 3 | * * 32 * | 0 2 0 1 | 1 0 2. . . x4o | 4 | 0 4 | * * * 24 | 0 0 2 1 | 0 1 2----------+----+-------+-------------+------------+------x4o . x .♦ 8 | 8 4 | 2 4 0 0 | 24 * * * | 1 1 0x . o3x .♦ 6 | 3 6 | 0 3 2 0 | * 32 * * | 1 0 1x . . x4o♦ 8 | 4 8 | 0 4 0 2 | * * 24 * | 0 1 1. . o3x4o♦ 12 | 0 24 | 0 0 8 6 | * * * 4 | 0 0 2----------+----+-------+-------------+------------+------x4o o3x .♦ 12 | 12 12 | 3 12 4 0 | 3 4 0 0 | 8 * *x4o . x4o♦ 16 | 16 16 | 4 16 0 4 | 4 0 4 0 | * 6 *x . o3x4o♦ 24 | 12 48 | 0 24 16 12 | 0 8 6 2 | * * 4
x x o3x4o. . . . . | 48 | 1 1 4 | 1 4 4 2 2 | 4 2 2 2 2 1 | 2 2 1 1----------+----+----------+----------------+------------------+--------x . . . . | 2 | 24 * * | 1 4 0 0 0 | 4 2 2 0 0 0 | 2 2 1 0. x . . . | 2 | * 24 * | 1 0 4 0 0 | 4 0 0 2 2 0 | 2 2 0 1. . . x . | 2 | * * 96 | 0 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1----------+----+----------+----------------+------------------+--------x x . . . | 4 | 2 2 0 | 12 * * * * | 4 0 0 0 0 0 | 2 2 0 0x . . x . | 4 | 2 0 2 | * 48 * * * | 1 1 1 0 0 0 | 1 1 1 0. x . x . | 4 | 0 2 2 | * * 48 * * | 1 0 0 1 1 0 | 1 1 0 1. . o3x . | 3 | 0 0 3 | * * * 32 * | 0 1 0 1 0 1 | 1 0 1 1. . . x4o | 4 | 0 0 4 | * * * * 24 | 0 0 1 0 1 1 | 0 1 1 1----------+----+----------+----------------+------------------+--------x x . x .♦ 8 | 4 4 4 | 2 2 2 0 0 | 24 * * * * * | 1 1 0 0x . o3x .♦ 6 | 3 0 6 | 0 3 0 2 0 | * 16 * * * * | 1 0 1 0x . . x4o♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 12 * * * | 0 1 1 0. x o3x .♦ 6 | 0 3 6 | 0 0 3 2 0 | * * * 16 * * | 1 0 0 1. x . x4o♦ 8 | 0 4 8 | 0 0 4 0 2 | * * * * 12 * | 0 1 0 1. . o3x4o♦ 12 | 0 0 24 | 0 0 0 8 6 | * * * * * 4 | 0 0 1 1----------+----+----------+----------------+------------------+--------x x o3x .♦ 12 | 6 6 12 | 3 6 6 4 0 | 3 2 0 2 0 0 | 8 * * *x x . x4o♦ 16 | 8 8 16 | 4 8 8 0 4 | 4 0 2 0 2 0 | * 6 * *x . o3x4o♦ 24 | 12 0 48 | 0 24 0 16 12 | 0 8 6 0 0 2 | * * 2 *. x o3x4o♦ 24 | 0 12 48 | 0 0 24 16 12 | 0 0 0 8 6 2 | * * * 2
x4o x3o3x. . . . . | 48 | 2 2 2 | 1 4 4 1 2 1 | 2 2 2 4 2 1 | 1 2 1 2----------+----+----------+-------------------+------------------+--------x . . . . | 2 | 48 * * | 1 2 2 0 0 0 | 2 2 1 4 1 0 | 1 2 1 1. . x . . | 2 | * 48 * | 0 2 0 1 1 0 | 1 0 2 2 0 1 | 1 1 0 2. . . . x | 2 | * * 48 | 0 0 2 0 1 1 | 0 1 0 2 2 1 | 0 1 1 2----------+----+----------+-------------------+------------------+--------x4o . . . | 4 | 4 0 0 | 12 * * * * * | 2 2 0 0 0 0 | 1 2 1 0x . x . . | 4 | 2 2 0 | * 48 * * * * | 1 0 1 1 0 0 | 1 1 0 1x . . . x | 4 | 2 0 2 | * * 48 * * * | 0 1 0 1 1 0 | 0 1 1 1. . x3o . | 3 | 0 3 0 | * * * 16 * * | 0 0 2 0 0 1 | 1 0 0 2. . x . x | 4 | 0 2 2 | * * * * 24 * | 0 0 0 2 0 1 | 0 1 0 2. . . o3x | 3 | 0 0 3 | * * * * * 16 | 0 0 0 0 2 1 | 0 0 1 2----------+----+----------+-------------------+------------------+--------x4o x . .♦ 8 | 8 4 0 | 2 4 0 0 0 0 | 12 * * * * * | 1 1 0 0x4o . . x♦ 8 | 8 0 4 | 2 0 4 0 0 0 | * 12 * * * * | 0 1 1 0x . x3o .♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 16 * * * | 1 0 0 1x . x . x♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 24 * * | 0 1 0 1x . . o3x♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * 16 * | 0 0 1 1. . x3o3x♦ 12 | 0 12 12 | 0 0 0 4 6 4 | * * * * * 4 | 0 0 0 2----------+----+----------+-------------------+------------------+--------x4o x3o .♦ 12 | 12 12 0 | 3 12 0 4 0 0 | 3 0 4 0 0 0 | 4 * * *x4o x . x♦ 16 | 16 8 8 | 4 8 8 0 4 0 | 2 2 0 4 0 0 | * 6 * *x4o . o3x♦ 12 | 12 0 12 | 3 0 12 0 0 4 | 0 3 0 0 4 0 | * * 4 *x . x3o3x♦ 24 | 12 24 24 | 0 12 12 8 12 8 | 0 0 4 6 4 2 | * * * 4
x x x3o3x. . . . . | 48 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1----------+----+-------------+-------------------------+-----------------------+----------x . . . . | 2 | 24 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0. x . . . | 2 | * 24 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1. . x . . | 2 | * * 48 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1. . . . x | 2 | * * * 48 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1----------+----+-------------+-------------------------+-----------------------+----------x x . . . | 4 | 2 2 0 0 | 12 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0x . x . . | 4 | 2 0 2 0 | * 24 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0x . . . x | 4 | 2 0 0 2 | * * 24 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0. x x . . | 4 | 0 2 2 0 | * * * 24 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1. x . . x | 4 | 0 2 0 2 | * * * * 24 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1. . x3o . | 3 | 0 0 3 0 | * * * * * 16 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1. . x . x | 4 | 0 0 2 2 | * * * * * * 24 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1. . . o3x | 3 | 0 0 0 3 | * * * * * * * 16 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1----------+----+-------------+-------------------------+-----------------------+----------x x x . .♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 0 | 12 * * * * * * * * | 1 1 0 0 0x x . . x♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 12 * * * * * * * | 0 1 1 0 0x . x3o .♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 8 * * * * * * | 1 0 0 1 0x . x . x♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 12 * * * * * | 0 1 0 1 0x . . o3x♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 8 * * * * | 0 0 1 1 0. x x3o .♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * * 8 * * * | 1 0 0 0 1. x x . x♦ 8 | 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * * 12 * * | 0 1 0 0 1. x . o3x♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 8 * | 0 0 1 0 1. . x3o3x♦ 12 | 0 0 12 12 | 0 0 0 0 0 4 6 4 | * * * * * * * * 4 | 0 0 0 1 1----------+----+-------------+-------------------------+-----------------------+----------x x x3o .♦ 12 | 6 6 12 0 | 3 6 0 6 0 4 0 0 | 3 0 2 0 0 2 0 0 0 | 4 * * * *x x x . x♦ 16 | 8 8 8 8 | 4 4 4 4 4 0 4 0 | 2 2 0 2 0 0 2 0 0 | * 6 * * *x x . o3x♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 0 4 | 0 3 0 0 2 0 0 2 0 | * * 4 * *x . x3o3x♦ 24 | 12 0 24 24 | 0 12 12 0 0 8 12 8 | 0 0 4 6 4 0 0 0 2 | * * * 2 *. x x3o3x♦ 24 | 0 12 24 24 | 0 0 0 12 12 8 12 8 | 0 0 0 0 0 4 6 4 2 | * * * * 2
xx oo3xx4oo&#x → height = 1(cope||cope)o. o.3o.4o. | 24 * | 1 4 1 0 0 | 4 2 2 1 4 0 0 0 | 2 2 1 4 2 2 0 0 0 | 1 2 2 1 0.o .o3.o4.o | * 24 | 0 0 1 1 4 | 0 0 0 1 4 4 2 2 | 0 0 0 4 2 2 2 2 1 | 0 2 2 1 1---------------+-------+----------------+-------------------------+----------------------+----------x. .. .. .. | 2 0 | 12 * * * * | 4 0 0 1 0 0 0 0 | 2 2 0 4 0 0 0 0 0 | 1 2 2 0 0.. .. x. .. | 2 0 | * 48 * * * | 1 1 1 0 1 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0oo oo3oo4oo&#x | 1 1 | * * 24 * * | 0 0 0 1 4 0 0 0 | 0 0 0 4 2 2 0 0 0 | 0 2 2 1 0.x .. .. .. | 0 2 | * * * 12 * | 0 0 0 1 0 4 0 0 | 0 0 0 4 0 0 2 2 0 | 0 2 2 0 1.. .. .x .. | 0 2 | * * * * 48 | 0 0 0 0 1 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1---------------+-------+----------------+-------------------------+----------------------+----------x. .. x. .. | 4 0 | 2 2 0 0 0 | 24 * * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0.. o.3x. .. | 3 0 | 0 3 0 0 0 | * 16 * * * * * * | 1 0 1 0 1 0 0 0 0 | 1 1 0 1 0.. .. x.4o. | 4 0 | 0 4 0 0 0 | * * 12 * * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 12 * * * * | 0 0 0 4 0 0 0 0 0 | 0 2 2 0 0.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * 48 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * 24 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1.. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * 16 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1.. .. .x4.o | 0 4 | 0 0 0 0 4 | * * * * * * * 12 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1---------------+-------+----------------+-------------------------+----------------------+----------x. o.3x. ..♦ 6 0 | 3 6 0 0 0 | 3 2 0 0 0 0 0 0 | 8 * * * * * * * * | 1 1 0 0 0x. .. x.4o.♦ 8 0 | 4 8 0 0 0 | 4 0 2 0 0 0 0 0 | * 6 * * * * * * * | 1 0 1 0 0.. o.3x.4o.♦ 12 0 | 0 24 0 0 0 | 0 8 6 0 0 0 0 0 | * * 2 * * * * * * | 1 0 0 1 0xx .. xx ..&#x♦ 4 4 | 2 2 4 2 2 | 1 0 0 2 2 1 0 0 | * * * 24 * * * * * | 0 1 1 0 0.. oo3xx ..&#x♦ 3 3 | 0 3 3 0 3 | 0 1 0 0 3 0 1 0 | * * * * 16 * * * * | 0 1 0 1 0.. .. xx4oo&#x♦ 4 4 | 0 4 4 0 4 | 0 0 1 0 4 0 0 1 | * * * * * 12 * * * | 0 0 1 1 0.x .o3.x ..♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 3 2 0 | * * * * * * 8 * * | 0 1 0 0 1.x .. .x4.o♦ 0 8 | 0 0 0 4 8 | 0 0 0 0 0 4 0 2 | * * * * * * * 6 * | 0 0 1 0 1.. .o3.x4.o♦ 0 12 | 0 0 0 0 24 | 0 0 0 0 0 0 8 6 | * * * * * * * * 2 | 0 0 0 1 1---------------+-------+----------------+-------------------------+----------------------+----------x. o.3x.4o.♦ 24 0 | 12 48 0 0 0 | 24 16 12 0 0 0 0 0 | 8 6 2 0 0 0 0 0 0 |1 * * * *xx oo3xx ..&#x♦ 6 6 | 3 6 6 3 6 | 3 2 0 3 6 3 2 0 | 1 0 0 3 2 0 1 0 0 | * 8 * * *xx .. xx4oo&#x♦ 8 8 | 4 8 8 4 8 | 4 0 2 4 8 4 0 2 | 0 1 0 4 0 2 0 1 0 | * * 6 * *.. oo3xx4oo&#x♦ 12 12 | 0 24 12 0 24 | 0 8 6 0 24 0 8 6 | 0 0 1 0 8 6 0 0 1 | * * * 2 *.x .o3.x4.o♦ 0 24 | 0 0 0 12 48 | 0 0 0 0 0 24 16 12 | 0 0 0 0 0 0 8 6 2 | * * * *1xx xx3oo3xx&#x → height = 1(cope||cope)o. o.3o.3o. | 24 * | 1 2 2 1 0 0 0 | 2 2 1 2 1 1 2 2 0 0 0 0 0 | 1 2 1 1 2 2 1 2 1 0 0 0 0 | 1 1 2 1 1 0.o .o3.o3.o | * 24 | 0 0 0 1 1 2 2 | 0 0 0 0 0 1 2 2 2 2 1 2 1 | 0 0 0 0 2 2 1 2 1 1 2 1 1 | 0 1 2 1 1 1---------------+-------+----------------------+------------------------------------+------------------------------+------------x. .. .. .. | 2 0 | 12 * * * * * * | 2 2 0 0 0 1 0 0 0 0 0 0 0 | 1 2 1 0 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0.. x. .. .. | 2 0 | * 24 * * * * * | 1 0 1 1 0 0 1 0 0 0 0 0 0 | 1 1 0 1 1 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0.. .. .. x. | 2 0 | * * 24 * * * * | 0 1 0 1 1 0 0 1 0 0 0 0 0 | 0 1 1 1 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0oo oo3oo3oo&#x | 1 1 | * * * 24 * * * | 0 0 0 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 0 0 0 | 0 1 2 1 1 0.x .. .. .. | 0 2 | * * * * 12 * * | 0 0 0 0 0 1 0 0 2 2 0 0 0 | 0 0 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1.. .x .. .. | 0 2 | * * * * * 24 * | 0 0 0 0 0 0 1 0 1 0 1 1 0 | 0 0 0 0 1 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1.. .. .. .x | 0 2 | * * * * * * 24 | 0 0 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1---------------+-------+----------------------+------------------------------------+------------------------------+------------x. x. .. .. | 4 0 | 2 2 0 0 0 0 0 | 12 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 12 * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0.. x.3o. .. | 3 0 | 0 3 0 0 0 0 0 | * * 8 * * * * * * * * * * | 1 0 0 1 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0.. x. .. x. | 4 0 | 0 2 2 0 0 0 0 | * * * 12 * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0.. .. o.3x. | 3 0 | 0 0 3 0 0 0 0 | * * * * 8 * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * * 12 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0.. xx .. ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * * 24 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * * 24 * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0.x .x .. .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * * 12 * * * * | 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 12 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1.. .x3.o .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 8 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1.. .x .. .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 12 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1.. .. .o3.x | 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * * 8 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1---------------+-------+----------------------+------------------------------------+------------------------------+------------x. x.3o. ..♦ 6 0 | 3 6 0 0 0 0 0 | 3 0 2 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 1 1 0 0 0 0x. x. .. x.♦ 8 0 | 4 4 4 0 0 0 0 | 2 2 0 2 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * | 1 0 1 0 0 0x. .. o.3x.♦ 6 0 | 3 0 6 0 0 0 0 | 0 3 0 0 2 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * | 1 0 0 1 0 0.. x.3o.3x.♦ 12 0 | 0 12 12 0 0 0 0 | 0 0 4 6 4 0 0 0 0 0 0 0 0 | * * * 2 * * * * * * * * * | 1 0 0 0 1 0xx xx .. ..&#x♦ 4 4 | 2 2 0 4 2 2 0 | 1 0 0 0 0 2 2 0 1 0 0 0 0 | * * * * 12 * * * * * * * * | 0 1 1 0 0 0xx .. .. xx&#x♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 0 2 0 2 0 1 0 0 0 | * * * * * 12 * * * * * * * | 0 0 1 1 0 0.. xx3oo ..&#x♦ 3 3 | 0 3 0 3 0 3 0 | 0 0 1 0 0 0 3 0 0 0 1 0 0 | * * * * * * 8 * * * * * * | 0 1 0 0 1 0.. xx .. xx&#x♦ 4 4 | 0 2 2 4 0 2 2 | 0 0 0 1 0 0 2 2 0 0 0 1 0 | * * * * * * * 12 * * * * * | 0 0 1 0 1 0.. .. oo3xx&#x♦ 3 3 | 0 0 3 3 0 0 3 | 0 0 0 0 1 0 0 3 0 0 0 0 1 | * * * * * * * * 8 * * * * | 0 0 0 1 1 0.x .x3.o ..♦ 0 6 | 0 0 0 0 3 6 0 | 0 0 0 0 0 0 0 0 3 0 2 0 0 | * * * * * * * * * 4 * * * | 0 1 0 0 0 1.x .x .. .x♦ 0 8 | 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 2 2 0 2 0 | * * * * * * * * * * 6 * * | 0 0 1 0 0 1.x .. .o3.x♦ 0 6 | 0 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * * * * 4 * | 0 0 0 1 0 1.. .x3.o3.x♦ 0 12 | 0 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * 2 | 0 0 0 0 1 1---------------+-------+----------------------+------------------------------------+------------------------------+------------x. x.3o.3x.♦ 24 0 | 12 24 24 0 0 0 0 | 12 12 8 12 8 0 0 0 0 0 0 0 0 | 4 6 4 2 0 0 0 0 0 0 0 0 0 |1 * * * * *xx xx3oo ..&#x♦ 6 6 | 3 6 0 6 3 6 0 | 3 0 2 0 0 3 6 0 3 0 2 0 0 | 1 0 0 0 3 0 2 0 0 1 0 0 0 | * 4 * * * *xx xx .. xx&#x♦ 8 8 | 4 4 4 8 4 4 4 | 2 2 0 2 0 4 4 4 2 2 0 2 0 | 0 1 0 0 2 2 0 2 0 0 1 0 0 | * * 6 * * *xx .. oo3xx&#x♦ 6 6 | 3 0 6 6 3 0 6 | 0 3 0 0 2 3 0 6 0 3 0 0 2 | 0 0 1 0 0 3 0 0 2 0 0 1 0 | * * * 4 * *.. xx3oo3xx&#x♦ 12 12 | 0 12 12 12 0 12 12 | 0 0 4 6 4 0 12 12 0 0 4 6 4 | 0 0 0 1 0 0 4 6 4 0 0 0 1 | * * * * 2 *.x .x3.o3.x♦ 0 24 | 0 0 0 0 12 24 24 | 0 0 0 0 0 0 0 0 12 12 8 12 8 | 0 0 0 0 0 0 0 0 0 4 6 4 2 | * * * * *1xxo3oxx xxx4ooo&#xt → all heights = sqrt(2/3) = 0.816497(tisdip|| pseudoshiddip|| dual-paratisdip)o..3o.. o..4o.. | 12 * * | 2 2 2 0 0 0 0 0 0 | 1 4 1 2 1 4 0 0 0 0 0 0 0 0 0 | 2 2 1 4 2 2 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0.o.3.o. .o.4.o. | * 24 * | 0 0 1 1 1 2 1 0 0 | 0 0 0 1 1 2 2 2 1 1 1 2 0 0 0 | 0 0 1 2 2 1 1 1 2 2 1 0 0 | 0 2 1 1 1 1 0..o3..o ..o4..o | * * 12 | 0 0 0 0 0 0 2 2 2 | 0 0 0 0 0 0 0 0 0 1 2 4 1 4 1 | 0 0 1 0 0 0 0 0 2 4 2 2 2 | 0 2 0 0 1 2 1--------------------+----------+----------------------------+-----------------------------------------+-------------------------------+--------------x.. ... ... ... | 2 0 0 | 12 * * * * * * * * | 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0... ... x.. ... | 2 0 0 | * 12 * * * * * * * | 0 2 1 0 0 2 0 0 0 0 0 0 0 0 0 | 1 2 0 2 1 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0oo.3oo. oo.4oo.&#x | 1 1 0 | * * 24 * * * * * * | 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 | 0 0 1 2 2 1 0 0 0 0 0 0 0 | 0 2 1 1 0 0 0.x. ... ... ... | 0 2 0 | * * * 12 * * * * * | 0 0 0 1 0 0 2 0 0 1 0 0 0 0 0 | 0 0 1 2 0 0 1 0 2 0 0 0 0 | 0 2 1 0 1 0 0... .x. ... ... | 0 2 0 | * * * * 12 * * * * | 0 0 0 0 1 0 0 2 0 0 1 0 0 0 0 | 0 0 1 0 2 0 0 1 0 2 0 0 0 | 0 2 0 1 0 1 0... ... .x. ... | 0 2 0 | * * * * * 24 * * * | 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 | 0 0 0 1 1 1 1 1 1 1 1 0 0 | 0 1 1 1 1 1 0.oo3.oo .oo4.oo&#x | 0 1 1 | * * * * * * 24 * * | 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 | 0 0 1 0 0 0 0 0 2 2 1 0 0 | 0 2 0 0 1 1 0... ..x ... ... | 0 0 2 | * * * * * * * 12 * | 0 0 0 0 0 0 0 0 0 0 1 0 1 2 0 | 0 0 1 0 0 0 0 0 0 2 0 2 1 | 0 2 0 0 0 1 1... ... ..x ... | 0 0 2 | * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 | 0 0 0 0 0 0 0 0 1 2 2 1 2 | 0 1 0 0 1 2 1--------------------+----------+----------------------------+-----------------------------------------+-------------------------------+--------------x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0x.. ... x.. ... | 4 0 0 | 2 2 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0... ... x..4o.. | 4 0 0 | 0 4 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * | 0 2 0 0 0 2 0 0 0 0 0 0 0 | 1 0 2 1 0 0 0xx. ... ... ...&#x | 2 2 0 | 1 0 2 1 0 0 0 0 0 | * * * 12 * * * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0... ox. ... ...&#x | 1 2 0 | 0 0 2 0 1 0 0 0 0 | * * * * 12 * * * * * * * * * * | 0 0 1 0 2 0 0 0 0 0 0 0 0 | 0 2 0 1 0 0 0... ... xx. ...&#x | 2 2 0 | 0 1 2 0 0 1 0 0 0 | * * * * * 24 * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0.x. ... .x. ... | 0 4 0 | 0 0 0 2 0 2 0 0 0 | * * * * * * 12 * * * * * * * * | 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 1 1 0 1 0 0... .x. .x. ... | 0 4 0 | 0 0 0 0 2 2 0 0 0 | * * * * * * * 12 * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 | 0 1 0 1 0 1 0... ... .x.4.o. | 0 4 0 | 0 0 0 0 0 4 0 0 0 | * * * * * * * * 6 * * * * * * | 0 0 0 0 0 1 1 1 0 0 1 0 0 | 0 0 1 1 1 1 0.xo ... ... ...&#x | 0 2 1 | 0 0 0 1 0 0 2 0 0 | * * * * * * * * * 12 * * * * * | 0 0 1 0 0 0 0 0 2 0 0 0 0 | 0 2 0 0 1 0 0... .xx ... ...&#x | 0 2 2 | 0 0 0 0 1 0 2 1 0 | * * * * * * * * * * 12 * * * * | 0 0 1 0 0 0 0 0 0 2 0 0 0 | 0 2 0 0 0 1 0... ... .xx ...&#x | 0 2 2 | 0 0 0 0 0 1 2 0 1 | * * 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