dapabdi spic

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
Lace city in approx. ASCII-art	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°
Face vector	72, 216, 202, 58
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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