hixip prism,
vertex figure of bro
- more general:
- n,hix-dip
- general polytopal classes:
- Wythoffian polyexa segmentoexa
links
| Acronym | squahix |
| Name |
square - hexateron duoprism, hixip prism, vertex figure of bro |
| |,>,O device | line pyramid pyramid pyramid pyramid prism prism = |>>>>|| |
| Circumradius | sqrt(11/12) = 0.957427 |
| Face vector | 24, 84, 146, 155, 104, 43, 10 |
| Confer |
|
|
External links |
|
Incidence matrix according to Dynkin symbol
x4o x3o3o3o3o . . . . . . . | 24 | 2 5 | 1 10 10 | 5 20 10 | 10 10 5 | 10 10 1 | 5 2 --------------+----+-------+---------+----------+----------+---------+---- x . . . . . . | 2 | 24 * | 1 5 0 | 5 10 0 | 10 5 0 | 10 5 0 | 5 1 . . x . . . . | 2 | * 60 | 0 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 --------------+----+-------+---------+----------+----------+---------+---- x4o . . . . . | 3 | 3 0 | 6 * * ♦ 5 0 0 | 10 0 0 | 10 0 0 | 5 0 x . x . . . . | 4 | 2 2 | * 60 * | 1 4 0 | 4 6 0 | 6 4 0 | 4 1 . . x3o . . . | 3 | 0 3 | * * 80 | 0 2 3 | 1 6 3 | 3 6 1 | 3 2 --------------+----+-------+---------+----------+----------+---------+---- x4o x . . . . ♦ 8 | 8 4 | 2 4 0 | 15 * * ♦ 4 0 0 | 6 0 0 | 4 0 x . x3o . . . ♦ 6 | 3 6 | 0 3 2 | * 80 * | 1 3 0 | 3 3 0 | 3 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * 60 | 0 2 2 | 1 4 1 | 2 2 --------------+----+-------+---------+----------+----------+---------+---- x4o x3o . . . ♦ 12 | 12 12 | 3 12 4 | 3 4 0 | 20 * * | 3 0 0 | 3 0 x . x3o3o . . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 60 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 24 | 0 2 1 | 1 2 --------------+----+-------+---------+----------+----------+---------+---- x4o x3o3o . . ♦ 16 | 16 24 | 4 24 16 | 6 16 4 | 4 4 0 | 15 * * | 2 0 x . x3o3o3o . ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 | * 24 * | 1 1 . . x3o3o3o3o ♦ 6 | 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * 4 | 0 2 --------------+----+-------+---------+----------+----------+---------+---- x4o x3o3o3o . ♦ 20 | 20 40 | 5 40 40 | 10 40 20 | 10 20 4 | 5 4 0 | 6 * x . x3o3o3o3o ♦ 12 | 6 30 | 0 15 40 | 0 20 30 | 0 15 12 | 0 6 2 | * 4
x x x3o3o3o3o . . . . . . . | 24 | 1 1 5 | 1 5 5 10 | 5 10 10 10 | 10 10 10 5 | 10 5 5 1 | 5 1 1 --------------+----+----------+------------+-------------+-------------+------------+------ x . . . . . . | 2 | 12 * * | 1 5 0 0 | 5 10 0 0 | 10 10 0 0 | 10 5 0 0 | 5 1 0 . x . . . . . | 2 | * 12 * | 1 0 5 0 | 5 0 10 0 | 10 0 10 0 | 10 0 5 0 | 5 0 1 . . x . . . . | 2 | * * 60 | 0 1 1 4 | 1 4 4 6 | 4 6 6 4 | 6 4 4 1 | 4 1 1 --------------+----+----------+------------+-------------+-------------+------------+------ x x . . . . . | 4 | 2 2 0 | 6 * * * ♦ 5 0 0 0 | 10 0 0 0 | 10 0 0 0 | 5 0 0 x . x . . . . | 4 | 2 0 2 | * 30 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 0 | 4 1 0 . x x . . . . | 4 | 0 2 2 | * * 30 * | 1 0 4 0 | 4 0 6 0 | 6 0 4 0 | 4 0 1 . . x3o . . . | 3 | 0 0 3 | * * * 80 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 --------------+----+----------+------------+-------------+-------------+------------+------ x x x . . . . ♦ 8 | 4 4 4 | 2 2 2 0 | 15 * * * ♦ 4 0 0 0 | 6 0 0 0 | 4 0 0 x . x3o . . . ♦ 6 | 3 0 6 | 0 3 0 2 | * 40 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x x3o . . . ♦ 6 | 0 3 6 | 0 0 3 2 | * * 40 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . x3o3o . . ♦ 4 | 0 0 6 | 0 0 0 4 | * * * 60 | 0 1 1 2 | 1 2 2 1 | 2 1 1 --------------+----+----------+------------+-------------+-------------+------------+------ x x x3o . . . ♦ 12 | 6 6 12 | 3 6 6 4 | 3 2 2 0 | 20 * * * | 3 0 0 0 | 3 0 0 x . x3o3o . . ♦ 8 | 4 0 12 | 0 6 0 8 | 0 4 0 2 | * 30 * * | 1 2 0 0 | 2 1 0 . x x3o3o . . ♦ 8 | 0 4 12 | 0 0 6 8 | 0 0 4 2 | * * 30 * | 1 0 2 0 | 2 0 1 . . x3o3o3o . ♦ 5 | 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 24 | 0 1 1 1 | 1 1 1 --------------+----+----------+------------+-------------+-------------+------------+------ x x x3o3o . . ♦ 16 | 8 8 24 | 4 12 12 16 | 6 8 8 4 | 4 2 2 0 | 15 * * * | 2 0 0 x . x3o3o3o . ♦ 10 | 5 0 20 | 0 10 0 20 | 0 10 0 10 | 0 5 0 2 | * 12 * * | 1 1 0 . x x3o3o3o . ♦ 10 | 0 5 20 | 0 0 10 20 | 0 0 10 10 | 0 0 5 2 | * * 12 * | 1 0 1 . . x3o3o3o3o ♦ 6 | 0 0 15 | 0 0 0 20 | 0 0 0 15 | 0 0 0 6 | * * * 4 | 0 1 1 --------------+----+----------+------------+-------------+-------------+------------+------ x x x3o3o3o . ♦ 20 | 10 10 40 | 5 20 20 40 | 10 20 20 20 | 10 10 10 4 | 5 2 2 0 | 6 * * x . x3o3o3o3o ♦ 12 | 6 0 30 | 0 15 0 40 | 0 20 0 30 | 0 15 0 12 | 0 6 0 2 | * 2 * . x x3o3o3o3o ♦ 12 | 0 6 30 | 0 0 15 40 | 0 0 20 30 | 0 0 15 12 | 0 0 6 2 | * * 2
xx xx3oo3oo3oo3oo&#x → height = 1
(hixip || hixip)
o. o.3o.3o.3o.3o. | 12 * | 1 5 1 0 0 | 5 10 1 5 0 0 | 10 10 5 10 0 0 | 10 5 10 10 0 0 | 5 1 10 5 0 0 | 1 5 1 0
.o .o3.o3.o3.o3.o | * 12 | 0 0 1 1 5 | 0 0 1 5 5 10 | 0 0 5 10 10 10 | 0 0 10 10 10 5 | 0 0 10 5 5 1 | 0 5 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. .. .. .. .. .. | 2 0 | 6 * * * * | 5 0 1 0 0 0 | 10 0 5 0 0 0 | 10 0 10 0 0 0 | 5 0 10 0 0 0 | 1 5 0 0
.. x. .. .. .. .. | 2 0 | * 30 * * * | 1 4 0 1 0 0 | 4 6 1 4 0 0 | 6 4 4 6 0 0 | 4 1 6 4 0 0 | 1 4 1 0
oo oo3oo3oo3oo3oo&#x | 1 1 | * * 12 * * | 0 0 1 5 0 0 | 0 0 5 10 0 0 | 0 0 10 10 0 0 | 0 0 10 5 0 0 | 0 5 1 0
.x .. .. .. .. .. | 0 2 | * * * 6 * | 0 0 1 0 5 0 | 0 0 5 0 10 0 | 0 0 10 0 10 0 | 0 0 10 0 5 0 | 0 5 0 1
.. .x .. .. .. .. | 0 2 | * * * * 30 | 0 0 0 1 1 4 | 0 0 1 4 4 6 | 0 0 4 6 6 4 | 0 0 6 4 4 1 | 0 4 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x. .. .. .. .. | 4 0 | 2 2 0 0 0 | 15 * * * * * | 4 0 1 0 0 0 | 6 0 4 0 0 0 | 4 0 6 0 0 0 | 1 4 0 0
.. x.3o. .. .. .. | 3 0 | 0 3 0 0 0 | * 40 * * * * | 1 3 0 1 0 0 | 3 3 1 3 0 0 | 3 1 3 3 0 0 | 1 3 1 0
xx .. .. .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * 6 * * * ♦ 0 0 5 0 0 0 | 0 0 10 0 0 0 | 0 0 10 0 0 0 | 0 5 0 0
.. xx .. .. .. ..&#x | 2 2 | 0 1 2 0 1 | * * * 30 * * | 0 0 1 4 0 0 | 0 0 4 6 0 0 | 0 0 6 4 0 0 | 0 4 1 0
.x .x .. .. .. .. | 0 4 | 0 0 0 2 2 | * * * * 15 * | 0 0 1 0 4 0 | 0 0 4 0 6 0 | 0 0 6 0 4 0 | 0 4 0 1
.. .x3.o .. .. .. | 0 3 | 0 0 0 0 3 | * * * * * 40 | 0 0 0 1 1 3 | 0 0 1 3 3 3 | 0 0 3 3 3 1 | 0 3 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o. .. .. .. ♦ 6 0 | 3 6 0 0 0 | 3 2 0 0 0 0 | 20 * * * * * | 3 0 1 0 0 0 | 3 0 3 0 0 0 | 1 3 0 0
.. x.3o.3o. .. .. ♦ 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 | * 30 * * * * | 1 2 0 1 0 0 | 2 1 1 2 0 0 | 1 2 1 0
xx xx .. .. .. ..&#x ♦ 4 4 | 2 2 4 2 2 | 1 0 2 2 1 0 | * * 15 * * * ♦ 0 0 4 0 0 0 | 0 0 6 0 0 0 | 0 4 0 0
.. xx3oo .. .. ..&#x ♦ 3 3 | 0 3 3 0 3 | 0 1 0 3 0 1 | * * * 40 * * | 0 0 1 3 0 0 | 0 0 3 3 0 0 | 0 3 1 0
.x .x3.o .. .. .. ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 3 2 | * * * * 20 * | 0 0 1 0 3 0 | 0 0 3 0 3 0 | 0 3 0 1
.. .x3.o3.o .. .. ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * 30 | 0 0 0 1 1 2 | 0 0 1 2 2 1 | 0 2 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o.3o. .. .. ♦ 8 0 | 4 12 0 0 0 | 6 8 0 0 0 0 | 4 2 0 0 0 0 | 15 * * * * * | 2 0 1 0 0 0 | 1 2 0 0
.. x.3o.3o.3o. .. ♦ 5 0 | 0 10 0 0 0 | 0 10 0 0 0 0 | 0 5 0 0 0 0 | * 12 * * * * | 1 1 0 1 0 0 | 1 1 1 0
xx xx3oo .. .. ..&#x ♦ 6 6 | 3 6 6 3 6 | 3 2 3 6 3 2 | 1 0 3 2 1 0 | * * 20 * * * | 0 0 3 0 0 0 | 0 3 0 0
.. xx3oo3oo .. ..&#x ♦ 4 4 | 0 6 4 0 6 | 0 4 0 6 0 4 | 0 1 0 4 0 1 | * * * 30 * * | 0 0 1 2 0 0 | 0 2 1 0
.x .x3.o3.o .. .. ♦ 0 8 | 0 0 0 4 12 | 0 0 0 0 6 8 | 0 0 0 0 4 2 | * * * * 15 * | 0 0 1 0 2 0 | 0 2 0 1
.. .x3.o3.o3.o .. ♦ 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * 12 | 0 0 0 1 1 1 | 0 1 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o.3o.3o. .. ♦ 10 0 | 5 20 0 0 0 | 10 20 0 0 0 0 | 10 10 0 0 0 0 | 5 2 0 0 0 0 | 6 * * * * * | 1 1 0 0
.. x.3o.3o.3o.3o. ♦ 6 0 | 0 15 0 0 0 | 0 20 0 0 0 0 | 0 15 0 0 0 0 | 0 6 0 0 0 0 | * 2 * * * * | 1 0 1 0
xx xx3oo3oo .. ..&#x ♦ 8 8 | 4 12 8 4 12 | 6 8 4 12 6 8 | 4 2 6 8 4 2 | 1 0 4 2 1 0 | * * 15 * * * | 0 2 0 0
.. xx3oo3oo3oo ..&#x ♦ 5 5 | 0 10 5 0 10 | 0 10 0 10 0 10 | 0 5 0 10 0 5 | 0 1 0 5 0 1 | * * * 12 * * | 0 1 1 0
.x .x3.o3.o3.o .. ♦ 0 10 | 0 0 0 5 20 | 0 0 0 0 10 20 | 0 0 0 0 10 10 | 0 0 0 0 5 2 | * * * * 6 * | 0 1 0 1
.. .x3.o3.o3.o3.o ♦ 0 6 | 0 0 0 0 15 | 0 0 0 0 0 20 | 0 0 0 0 0 15 | 0 0 0 0 0 6 | * * * * * 2 | 0 0 1 1
---------------------+-------+--------------+------------------+-------------------+-------------------+---------------+--------
x. x.3o.3o.3o.3o. ♦ 12 0 | 6 30 0 0 0 | 15 40 0 0 0 0 | 20 30 0 0 0 0 | 15 12 0 0 0 0 | 6 2 0 0 0 0 | 1 * * *
xx xx3oo3oo3oo ..&#x ♦ 10 10 | 5 20 10 5 20 | 10 20 5 20 10 20 | 10 10 10 20 10 10 | 5 2 10 10 5 2 | 1 0 5 2 1 0 | * 6 * *
.. xx3oo3oo3oo3oo&#x ♦ 6 6 | 0 15 6 0 15 | 0 20 0 15 0 20 | 0 15 0 20 0 15 | 0 6 0 15 0 6 | 0 1 0 6 0 1 | * * 2 *
.x .x3.o3.o3.o3.o ♦ 0 12 | 0 0 0 6 30 | 0 0 0 0 15 40 | 0 0 0 0 20 30 | 0 0 0 0 15 12 | 0 0 0 0 6 2 | * * * 1
© 2004-2024 | top of page |