Acronym pabdiproh
Name parabidiminished prismatorhombated hexadecachoron,
tristratic tic-first central segment of proh
 
 ©
Circumradius sqrt[4+2 sqrt(2)] = 2.613126
Lace city
in approx. ASCII-art
x4x x4u w4x   w4x x4u x4x
                         
w4o w4x           w4x w4o
                         
                         
w4o w4x           w4x w4o
                         
x4x x4u w4x   w4x x4u x4x
Dihedral angles
  • at {3} between tricu and trip:   150°
  • at {4} between op and trip:   arccos[-sqrt(2/3)] = 144.735610°
  • at {8} between op and tic:   135°
  • at {4} between op and tricu:   135°
  • at {3} between tic and tricu:   120°
  • at {6} between girco and tricu:   120°
  • at {4} between girco and op:   90°
  • at {8} between girco and tic:   90°
Face vector 144, 312, 212, 44
Confer
uniform relative:
proh  
segmentochora:
tic || girco  

Incidence matrix according to Dynkin symbol


xxxx3xoox4xwwx&#xt   → outer heights = 1/sqrt(2) = 0.707107
                       central height = 1
(girco || pseudo (x,w)-sirco || pseudo (x,w)-sirco || girco)

o...3o...4o...      & | 96  * |  1  1  1  1  0  0 |  1  1  1  1  1  1  0  0 | 1  1  1 1 0
.o..3.o..4.o..      & |  * 48 |  0  0  0  2  2  1 |  0  0  0  2  1  2  1  2 | 0  1  2 1 1
----------------------+-------+-------------------+-------------------------+------------
x... .... ....      & |  2  0 | 48  *  *  *  *  * |  1  1  0  1  0  0  0  0 | 1  1  1 0 0
.... x... ....      & |  2  0 |  * 48  *  *  *  * |  1  0  1  0  1  0  0  0 | 1  1  0 1 0
.... .... x...      & |  2  0 |  *  * 48  *  *  * |  0  1  1  0  0  1  0  0 | 1  0  1 1 0
oo..3oo..4oo..&#x   & |  1  1 |  *  *  * 96  *  * |  0  0  0  1  1  1  0  0 | 0  1  1 1 0
.x.. .... ....      & |  0  2 |  *  *  *  * 48  * |  0  0  0  1  0  0  1  1 | 0  1  1 0 1
.oo.3.oo.4.oo.&#x     |  0  2 |  *  *  *  *  * 24 |  0  0  0  0  0  2  0  2 | 0  0  2 1 1
----------------------+-------+-------------------+-------------------------+------------
x...3x... ....      & |  6  0 |  3  3  0  0  0  0 | 16  *  *  *  *  *  *  * | 1  1  0 0 0
x... .... x...      & |  4  0 |  2  0  2  0  0  0 |  * 24  *  *  *  *  *  * | 1  0  1 0 0
.... x...4x...      & |  8  0 |  0  4  4  0  0  0 |  *  * 12  *  *  *  *  * | 1  0  0 1 0
xx.. .... ....&#x   & |  2  2 |  1  0  0  2  1  0 |  *  *  * 48  *  *  *  * | 0  1  1 0 0
.... xo.. ....&#x   & |  2  1 |  0  1  0  2  0  0 |  *  *  *  * 48  *  *  * | 0  1  0 1 0
.... .... xwwx&#xt    |  4  4 |  0  0  2  4  0  2 |  *  *  *  *  * 24  *  * | 0  0  1 1 0
.x..3.o.. ....      & |  0  3 |  0  0  0  0  3  0 |  *  *  *  *  *  * 16  * | 0  1  0 0 1
.xx. .... ....&#x     |  0  4 |  0  0  0  0  2  2 |  *  *  *  *  *  *  * 24 | 0  0  1 0 1
----------------------+-------+-------------------+-------------------------+------------
x...3x...4x...      &  48  0 | 24 24 24  0  0  0 |  8 12  6  0  0  0  0  0 | 2  *  * * *
xx..3xo.. ....&#xt  &   6  3 |  3  3  0  6  3  0 |  1  0  0  3  3  0  1  0 | * 16  * * *
xxxx .... xwwx&#xt      8  8 |  4  0  4  8  4  4 |  0  2  0  4  0  2  0  2 | *  * 12 * *
.... xoox4xwwx&#xt     16  8 |  0  8  8 16  0  4 |  0  0  2  0  8  4  0  0 | *  *  * 6 *
.xx.3.oo. ....&#x       0  6 |  0  0  0  0  6  3 |  0  0  0  0  0  0  2  3 | *  *  * * 8

wx xx3xo4xw&#zx   → height = 0
(tegum sum of (w,x,x,x)-gircope and (x,x,w)-sircope)

o. o.3o.4o.     | 96  * |  1  1  1  1  0  0 |  1  1  1  1  1  1  0  0 | 1  1 1  1 0
.o .o3.o4.o     |  * 48 |  0  0  0  2  1  1 |  0  0  0  2  2  1  2  1 | 0  2 1  1 1
----------------+-------+-------------------+-------------------------+------------
.. x. .. ..     |  2  0 | 48  *  *  *  *  * |  1  1  0  0  1  0  0  0 | 1  1 0  1 0
.. .. x. ..     |  2  0 |  * 48  *  *  *  * |  1  0  1  0  0  1  0  0 | 1  0 1  1 0
.. .. .. x.     |  2  0 |  *  * 48  *  *  * |  0  1  1  1  0  0  0  0 | 1  1 1  0 0
oo oo3oo4oo&#x  |  1  1 |  *  *  * 96  *  * |  0  0  0  1  1  1  0  0 | 0  1 1  1 0
.x .. .. ..     |  0  2 |  *  *  *  * 24  * |  0  0  0  2  0  0  2  0 | 0  2 1  0 1
.. .x .. ..     |  0  2 |  *  *  *  *  * 48 |  0  0  0  0  1  0  1  1 | 0  1 0  1 1
----------------+-------+-------------------+-------------------------+------------
.. x.3x. ..     |  6  0 |  3  3  0  0  0  0 | 16  *  *  *  *  *  *  * | 1  0 0  1 0
.. x. .. x.     |  4  0 |  2  0  2  0  0  0 |  * 24  *  *  *  *  *  * | 1  1 0  0 0
.. .. x.4x.     |  8  0 |  0  4  4  0  0  0 |  *  * 12  *  *  *  *  * | 1  0 1  0 0
wx .. .. xw&#zx |  4  4 |  0  0  2  4  2  0 |  *  *  * 24  *  *  *  * | 0  1 1  0 0
.. xx .. ..&#x  |  2  2 |  1  0  0  2  0  1 |  *  *  *  * 48  *  *  * | 0  1 0  1 0
.. .. xo ..&#x  |  2  1 |  0  1  0  2  0  0 |  *  *  *  *  * 48  *  * | 0  0 1  1 0
.x .x .. ..     |  0  4 |  0  0  0  0  2  2 |  *  *  *  *  *  * 24  * | 0  1 0  0 1
.. .x3.o ..     |  0  3 |  0  0  0  0  0  3 |  *  *  *  *  *  *  * 16 | 0  0 0  1 1
----------------+-------+-------------------+-------------------------+------------
.. x.3x.4x.      48  0 | 24 24 24  0  0  0 |  8 12  6  0  0  0  0  0 | 2  * *  * *
wx xx .. xw&#zx   8  8 |  4  0  4  8  4  4 |  0  2  0  2  4  0  2  0 | * 12 *  * *
wx .. xo4xw&#zx  16  8 |  0  8  8 16  4  0 |  0  0  2  4  0  8  0  0 | *  * 6  * *
.. xx3xo ..&#x    6  3 |  3  3  0  6  0  3 |  1  0  0  0  3  3  0  1 | *  * * 16 *
.x .x3.o ..       0  6 |  0  0  0  0  3  6 |  0  0  0  0  0  0  3  2 | *  * *  * 8

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