Acronym dapabdi spic
Name deep parabidiminished small prismatotetracontoctachoron,
hexa-gyro-augmented truncated-cube prism
Circumradius sqrt[2+sqrt(2)] = 1.847759
Lace city
in approx. ASCII-art
        x4x         w4o             w4o         x4x        
                                                           
                                                           
                                                           
o4x             o4w         q4q         o4w             o4x
                                                           
                                                           
                                                           
        x4x         w4o             w4o         x4x        
o3x             o3x
                   
        q3x        
                   
o3w             o3w
                   
                   
                   
        w3x        
                   
x3w             x3w
                   
                   
                   
w3x             w3x
                   
        x3w        
                   
                   
                   
w3o             w3o
                   
        x3q        
                   
x3o             x3o
Dihedral angles
  • at {4} between A-trip and B-trip:   arccos[-sqrt(8)/3] = 160.528779°
  • at {3} between oct and B-trip:   150°
  • at {8} between squacu and tic: 135°
  • at {4} between squacu and B-trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {3} between oct and squacu:   120°
  • at {4} between squacu and squacu:   90°
  • at {3} between tic and A-trip:   90°
Confer
uniform relative:
spic  
related segmentochora:
ticcup   {4} || op  
related CRFs:
hau ticcup  
general polytopal classes:
bistratic lace towers  

This CRF occurs as genuine multistratic segment of spic, in fact its bistratic oct-first central segment.

It also occurs as orbiform member of the set of prisms o3xNx x, gyro-augmented by magnabicupolaic rings, i.e. {N} || 2N-prism segmentochora, which occurs in the case N=4. For this polychoron the augmentations of the ops of ticcup by squipufs is to be done in this orientation ("gyro") that the squippies of squipuf pairwise adjoin to each other back to back. Additionally, as these happen to be corealmic here, they even combine into octs. – There is a different orientation of the squipufs as well ("ortho"), using then the trips to adjoin pairwise back to back. This then would result in hau ticcup.


Incidence matrix according to Dynkin symbol


oqo3xxx4xox&#xt   → both heights = 1/2
(tic || pseudo (q,x)-toe || tic)

o..3o..4o..      & | 48  * |  2  1  2  1  0 |  1  2  2  2  2  2 0 | 1  2 1  1  2
.o.3.o.4.o.        |  * 24 |  0  0  4  0  2 |  0  0  4  2  0  2 1 | 0  2 0  1  2
-------------------+-------+----------------+---------------------+-------------
... x.. ...      & |  2  0 | 48  *  *  *  * |  1  1  1  0  1  0 0 | 1  1 1  0  1
... ... x..      & |  2  0 |  * 24  *  *  * |  0  2  0  2  0  0 0 | 1  2 0  1  0
oo.3oo.4oo.&#x   & |  1  1 |  *  * 96  *  * |  0  0  1  1  0  1 0 | 0  1 0  1  1
o.o3o.o4o.o&#x     |  2  0 |  *  *  * 24  * |  0  0  0  0  2  2 0 | 0  0 1  1  2
... .x. ...        |  0  2 |  *  *  *  * 24 |  0  0  2  0  0  0 1 | 0  2 0  0  1
-------------------+-------+----------------+---------------------+-------------
o..3x.. ...      & |  3  0 |  3  0  0  0  0 | 16  *  *  *  *  * * | 1  0 1  0  0
... x..4x..      & |  8  0 |  4  4  0  0  0 |  * 12  *  *  *  * * | 1  1 0  0  0
... xx. ...&#x   & |  2  2 |  1  0  2  0  1 |  *  * 48  *  *  * * | 0  1 0  0  1
... ... xo.&#x   & |  2  1 |  0  1  2  0  0 |  *  *  * 48  *  * * | 0  1 0  1  0
... x.x ...&#x     |  4  0 |  2  0  0  2  0 |  *  *  *  * 24  * * | 0  0 1  0  1
ooo3ooo4ooo&#xr    |  2  1 |  0  0  2  1  0 |  *  *  *  *  * 48 * | 0  0 0  1  1
... .x.4.o.        |  0  4 |  0  0  0  0  4 |  *  *  *  *  *  * 6 | 0  2 0  0  0
-------------------+-------+----------------+---------------------+-------------
o..3x..4x..      &  24  0 | 24 12  0  0  0 |  8  6  0  0  0  0 0 | 2  * *  *  *
... xx.4xo.&#x   &   8  4 |  4  4  8  0  4 |  0  1  4  4  0  0 1 | * 12 *  *  *
o.o3x.x ...&#x       6  0 |  6  0  0  3  0 |  2  0  0  0  3  0 0 | *  * 8  *  *  (type A)
oqo ... xox&#xt      4  2 |  0  2  8  2  0 |  0  0  0  4  0  4 0 | *  * * 12  *
... xxx ...&#xr      4  2 |  2  0  4  2  1 |  0  0  2  0  1  2 0 | *  * *  * 24  (type B)

oq3xx4xo xo&#zx   → height = 0
(tegum sum of ticcup and (q,x)-toe

o.3o.4o. o.     | 48  * |  2  1  1  2  0 |  1  2  2  2  2  2 0 | 1 1  2  2  1
.o3.o4.o .o     |  * 24 |  0  0  0  4  2 |  0  0  0  4  2  2 1 | 0 0  2  2  1
----------------+-------+----------------+---------------------+-------------
.. x. .. ..     |  2  0 | 48  *  *  *  * |  1  1  1  1  0  0 0 | 1 1  1  1  0
.. .. x. ..     |  2  0 |  * 24  *  *  * |  0  2  0  0  2  0 0 | 1 0  2  0  1
.. .. .. x.     |  2  0 |  *  * 24  *  * |  0  0  2  0  0  2 0 | 0 1  0  2  1
oo3oo4oo oo&#x  |  1  1 |  *  *  * 96  * |  0  0  0  1  1  1 0 | 0 0  1  1  1
.. .x .. ..     |  0  2 |  *  *  *  * 24 |  0  0  0  2  0  0 1 | 0 0  2  1  0
----------------+-------+----------------+---------------------+-------------
o.3x. .. ..     |  3  0 |  3  0  0  0  0 | 16  *  *  *  *  * * | 1 1  0  0  0
.. x.4x. ..     |  8  0 |  4  4  0  0  0 |  * 12  *  *  *  * * | 1 0  1  0  0
.. x. .. x.     |  4  0 |  2  0  2  0  0 |  *  * 24  *  *  * * | 0 1  0  1  0
.. xx .. ..&#x  |  2  2 |  1  0  0  2  1 |  *  *  * 48  *  * * | 0 0  1  1  0
.. .. xo ..&#x  |  2  1 |  0  1  0  2  0 |  *  *  *  * 48  * * | 0 0  1  0  1
.. .. .. xo&#x  |  2  1 |  0  0  1  2  0 |  *  *  *  *  * 48 * | 0 0  0  1  1
.. .x4.o ..     |  0  4 |  0  0  0  0  4 |  *  *  *  *  *  * 6 | 0 0  2  0  0
----------------+-------+----------------+---------------------+-------------
o.3x.4x. ..      24  0 | 24 12  0  0  0 |  8  6  0  0  0  0 0 | 2 *  *  *  *
o.3x. .. x.       6  0 |  6  0  3  0  0 |  2  0  3  0  0  0 0 | * 8  *  *  *  (type A)
.. xx4xo ..&#x    8  4 |  4  4  0  8  4 |  0  1  0  4  4  0 1 | * * 12  *  *
.. xx .. xo&#x    4  2 |  2  0  2  4  1 |  0  0  1  2  0  2 0 | * *  * 24  *  (type B)
oq .. xo xo&#zx   4  2 |  0  2  2  8  0 |  0  0  0  0  4  4 0 | * *  *  * 12

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