Acronym tetcubedaw (alt.: daworsquip)
Name (tet,cube)-disphenoid,
dispenoid atop axis-orthogonal square prism
Circumradius sqrt[(233+176 sqrt(2))/632] = 0.873214
Lace hyper city
in approx. ASCII-art
x o           
           o x
              
              
          x x 
              
              
              
 x x          
(disphenoid in configuration space)
Confer
general polytopal classes:
segmentotera  

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[(8 sqrt(2)-7)/8] = 0.734312
(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

© 2004-2019
top of page