Acronym | tetcubedaw (alt.: daworsquip) |
Name |
(tet,cube)-disphenoid, dispenoid atop axis-orthogonal square prism |
Circumradius | sqrt(3)/2 = 0.866025 |
Lace hyper city in approx. ASCII-art |
x o o x x x x x(disphenoid in configuration space) |
Confer |
|
Incidence matrix according to Dynkin symbol
oxxx xoxx&#x → height(1,2) = 1/sqrt(2) = 0.707107
height(1,3) = height(1,4) = height(2,3) = height(2,4) = sqrt(3)/2 = 0.866025
height(2,4) = 1
height(12,34) = sqrt(3/8) = 0.612372
(2-ap || axis-ortho 4-p)
o... o... | 2 * * * | 1 2 2 2 0 0 0 0 0 0 0 0 | 1 2 2 2 1 2 2 1 2 0 0 0 0 0 0 0 0 0 | 1 1 2 2 1 2 1 1 2 1 0 0 0 0 0 | 1 1 2 1 1 0
.o.. .o.. | * 2 * * | 0 2 0 0 1 2 2 0 0 0 0 0 | 2 1 2 2 0 0 0 0 0 2 1 2 2 1 0 0 0 0 | 1 2 1 2 2 1 0 0 0 0 1 2 1 1 0 | 1 2 1 1 0 1
..o. ..o. | * * 4 * | 0 0 1 0 0 1 0 1 1 1 0 0 | 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 | 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 | 1 1 1 0 1 1
...o ...o | * * * 4 | 0 0 0 1 0 0 1 0 0 1 1 1 | 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
-------------+---------+-------------------------+-------------------------------------+-------------------------------+------------
.... x... | 2 0 0 0 | 1 * * * * * * * * * * * | 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 0
oo.. oo..&#x | 1 1 0 0 | * 4 * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
o.o. o.o.&#x | 1 0 1 0 | * * 4 * * * * * * * * * | 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0
o..o o..o&#x | 1 0 0 1 | * * * 4 * * * * * * * * | 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.x.. .... | 0 2 0 0 | * * * * 1 * * * * * * * | 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
.oo. .oo.&#x | 0 1 1 0 | * * * * * 4 * * * * * * | 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1
.o.o .o.o&#x | 0 1 0 1 | * * * * * * 4 * * * * * | 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x. .... | 0 0 2 0 | * * * * * * * 2 * * * * | 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1
.... ..x. | 0 0 2 0 | * * * * * * * * 2 * * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 | 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 | 1 0 1 0 1 1
..oo ..oo&#x | 0 0 1 1 | * * * * * * * * * 4 * * | 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 | 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
...x .... | 0 0 0 2 | * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 | 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
.... ...x | 0 0 0 2 | * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
-------------+---------+-------------------------+-------------------------------------+-------------------------------+------------
ox.. ....&#x | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
.... xo..&#x | 2 1 0 0 | 1 2 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo. ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
oo.o oo.o&#x | 1 1 0 1 | 0 1 0 1 0 0 1 0 0 0 0 0 | * * * 4 * * * * * * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x. ....&#x | 1 0 2 0 | 0 0 2 0 0 0 0 1 0 0 0 0 | * * * * 2 * * * * * * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
.... x.x.&#x | 2 0 2 0 | 1 0 2 0 0 0 0 0 1 0 0 0 | * * * * * 2 * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
o.oo o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 0 1 0 0 | * * * * * * 4 * * * * * * * * * * * | 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 0 0 1 0 | * * * * * * * 2 * * * * * * * * * * | 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
.... x..x&#x | 2 0 0 2 | 1 0 0 2 0 0 0 0 0 0 0 1 | * * * * * * * * 2 * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.xx. ....&#x | 0 2 2 0 | 0 0 0 0 1 2 0 1 0 0 0 0 | * * * * * * * * * 2 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
.... .ox.&#x | 0 1 2 0 | 0 0 0 0 0 2 0 0 1 0 0 0 | * * * * * * * * * * 2 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1
.ooo .ooo&#x | 0 1 1 1 | 0 0 0 0 0 1 1 0 0 1 0 0 | * * * * * * * * * * * 4 * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x.x ....&#x | 0 2 0 2 | 0 0 0 0 1 0 2 0 0 0 1 0 | * * * * * * * * * * * * 2 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.... .o.x&#x | 0 1 0 2 | 0 0 0 0 0 0 2 0 0 0 0 1 | * * * * * * * * * * * * * 2 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x. ..x. | 0 0 4 0 | 0 0 0 0 0 0 0 2 2 0 0 0 | * * * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1
..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 0 0 1 0 2 1 0 | * * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
.... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
...x ...x | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
-------------+---------+-------------------------+-------------------------------------+-------------------------------+------------
ox.. xo..&#x ♦ 2 2 0 0 | 1 4 0 0 1 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 1 0 0
oxx. ....&#x ♦ 1 2 2 0 | 0 2 2 0 1 2 0 1 0 0 0 0 | 1 0 2 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * | 1 1 0 0 0 0
.... xox.&#x ♦ 2 1 2 0 | 1 2 2 0 0 2 0 0 1 0 0 0 | 0 1 2 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * * | 1 0 1 0 0 0
oooo oooo&#x ♦ 1 1 1 1 | 0 1 1 1 0 1 1 0 0 1 0 0 | 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * * | 0 1 1 0 0 0
ox.x ....&#x ♦ 1 2 0 2 | 0 2 0 2 1 0 2 0 0 0 1 0 | 1 0 0 2 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | * * * * 2 * * * * * * * * * * | 0 1 0 1 0 0
.... xo.x&#x ♦ 2 1 0 2 | 1 2 0 2 0 0 2 0 0 0 0 1 | 0 1 0 2 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | * * * * * 2 * * * * * * * * * | 0 0 1 1 0 0
o.x. x.x.&#x ♦ 2 0 4 0 | 1 0 4 0 0 0 0 2 2 0 0 0 | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 1 0 0 0 | * * * * * * 1 * * * * * * * * | 1 0 0 0 1 0
o.xx ....&#x ♦ 1 0 2 2 | 0 0 2 2 0 0 0 1 0 2 1 0 | 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 1 0 0 | * * * * * * * 2 * * * * * * * | 0 1 0 0 1 0
.... x.xx&#x ♦ 2 0 2 2 | 1 0 2 2 0 0 0 0 1 2 0 1 | 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 1 0 | * * * * * * * * 2 * * * * * * | 0 0 1 0 1 0
o..x x..x&#x ♦ 2 0 0 4 | 1 0 0 4 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 1 | * * * * * * * * * 1 * * * * * | 0 0 0 1 1 0
.xx. .ox.&#x ♦ 0 2 4 0 | 0 0 0 0 1 4 0 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xxx ....&#x ♦ 0 2 2 2 | 0 0 0 0 1 2 2 1 0 2 1 0 | 0 0 0 0 0 0 0 0 0 1 0 2 1 0 0 1 0 0 | * * * * * * * * * * * 2 * * * | 0 1 0 0 0 1
.... .oxx&#x ♦ 0 1 2 2 | 0 0 0 0 0 2 2 0 1 2 0 1 | 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 1 0 | * * * * * * * * * * * * 2 * * | 0 0 1 0 0 1
.x.x .o.x&#x ♦ 0 2 0 4 | 0 0 0 0 1 0 4 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 | * * * * * * * * * * * * * 1 * | 0 0 0 1 0 1
..xx ..xx&#x ♦ 0 0 4 4 | 0 0 0 0 0 0 0 2 2 4 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 | * * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
-------------+---------+-------------------------+-------------------------------------+-------------------------------+------------
oxx. xox.&#x ♦ 2 2 4 0 | 1 4 4 0 1 4 0 2 2 0 0 0 | 2 2 4 0 2 2 0 0 0 2 2 0 0 0 1 0 0 0 | 1 2 2 0 0 0 1 0 0 0 1 0 0 0 0 | 1 * * * * *
oxxx ....&#x ♦ 1 2 2 2 | 0 2 2 2 1 2 2 1 0 2 1 0 | 1 0 2 2 1 0 2 1 0 1 0 2 1 0 0 1 0 0 | 0 1 0 2 1 0 0 1 0 0 0 1 0 0 0 | * 2 * * * *
.... xoxx&#x ♦ 2 1 2 2 | 1 2 2 2 0 2 2 0 1 2 0 1 | 0 1 2 2 0 1 2 0 1 0 1 2 0 1 0 0 1 0 | 0 0 1 2 0 1 0 0 1 0 0 0 1 0 0 | * * 2 * * *
ox.x xo.x&#x ♦ 2 2 0 4 | 1 4 0 4 1 0 4 0 0 0 2 2 | 2 2 0 4 0 0 0 2 2 0 0 0 2 2 0 0 0 1 | 1 0 0 0 2 2 0 0 0 1 0 0 0 1 0 | * * * 1 * *
o.xx x.xx&#x ♦ 2 0 4 4 | 1 0 4 4 0 0 0 2 2 4 2 2 | 0 0 0 0 2 2 4 2 2 0 0 0 0 0 1 2 2 1 | 0 0 0 0 0 0 1 2 2 1 0 0 0 0 1 | * * * * 1 *
.xxx .oxx&#x ♦ 0 2 4 4 | 0 0 0 0 2 4 4 2 2 4 2 2 | 0 0 0 0 0 0 0 0 0 2 2 4 2 2 1 2 2 1 | 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 | * * * * * 1
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