pabac scant

Acronym	pabac scant
Name	partially bicontracted small cellated penteractitriacontiditeron
Circumradius	...
Lace city in approx. ASCII-art	line line -- square line esquidpy esquidpy line -- quawros line esquidpy esquidpy line -- quawros line line -- square
	square -- square square squobcu square -- quawros square squobcu square -- quawros square -- square \| \| +-- cube \| +--------- pacsid pith +---------------- cube
	o3o4x -- cube o3o4x x3o4x o3o4x -- pacsid pith o3o4x -- cube
Coordinates	(0, 0; 1/2, 1/2, (1+sqrt(2))/2) & all permutations within last 3 coords, all changes of sign (1/sqrt(2), 0; 1/2, 1/2, 1/2) & all permutations within each coords subset, all changes of sign
Face vector	56, 224, 386, 324, 108
Confer	uniform relative: tac scant general polytopal classes: partial Stott expansions

This CRF polyteron can be obtained from tac by partial Stott expanding only within 3 orthogonal axial directions, perpendicular to an equatorial square cross-section. Conversely it could be obtained from scant by partial Stott contracting only within 2 orthogonal axial directions.

Incidence matrix according to Dynkin symbol

xo4oo ox3oo4xx&#zx   → height = 0

o.4o. o.3o.4o.    | 32  * |  2  3  3  0  0 |  6  3  6  3  6 0  0 0 |  6 1  6 12  1  3  3 | 2  2  6  6
.o4.o .o3.o4.o    |  * 24 |  0  0  4  2  2 |  0  0  4  8  8 1  2 1 |  0 0  8  8  4  8  4 | 0  4  8  4
------------------+-------+----------------+-----------------------+---------------------+-----------
x. .. .. .. ..    |  2  0 | 32  *  *  *  * |  3  0  3  0  0 0  0 0 |  3 0  3  6  0  0  0 | 1  1  3  3
.. .. .. .. x.    |  2  0 |  * 48  *  *  * |  2  2  0  0  2 0  0 0 |  4 1  0  4  0  1  2 | 2  0  2  4
oo4oo oo3oo4oo&#x |  1  1 |  *  * 96  *  * |  0  0  2  2  2 0  0 0 |  0 0  4  4  1  2  1 | 0  2  4  2
.. .. .x .. ..    |  0  2 |  *  *  * 24  * |  0  0  0  4  0 1  1 0 |  0 0  4  0  4  4  0 | 0  4  4  0
.. .. .. .. .x    |  0  2 |  *  *  *  * 24 |  0  0  0  0  4 0  1 1 |  0 0  0  4  0  4  4 | 0  0  4  4
------------------+-------+----------------+-----------------------+---------------------+-----------
x. .. .. .. x.    |  4  0 |  2  2  0  0  0 | 48  *  *  *  * *  * * |  2 0  0  2  0  0  0 | 1  0  1  2
.. .. .. o.4x.    |  4  0 |  0  4  0  0  0 |  * 24  *  *  * *  * * |  2 1  0  0  0  0  1 | 2  0  0  2
xo .. .. .. ..&#x |  2  1 |  1  0  2  0  0 |  *  * 96  *  * *  * * |  0 0  2  2  0  0  0 | 0  1  2  1
.. .. ox .. ..&#x |  1  2 |  0  0  2  1  0 |  *  *  * 96  * *  * * |  0 0  2  0  1  1  0 | 0  2  2  0
.. .. .. .. xx&#x |  2  2 |  0  1  2  0  1 |  *  *  *  * 96 *  * * |  0 0  0  2  0  1  1 | 0  0  2  2
.. .. .x3.o ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  * 8  * * |  0 0  0  0  4  0  0 | 0  4  0  0
.. .. .x .. .x    |  0  4 |  0  0  0  2  2 |  *  *  *  *  * * 12 * |  0 0  0  0  0  4  0 | 0  0  4  0
.. .. .. .o4.x    |  0  4 |  0  0  0  0  4 |  *  *  *  *  * *  * 6 |  0 0  0  0  0  0  4 | 0  0  0  4
------------------+-------+----------------+-----------------------+---------------------+-----------
x. .. .. o.4x.    ♦  8  0 |  4  8  0  0  0 |  4  2  0  0  0 0  0 0 | 24 *  *  *  *  *  * | 1  0  0  1
.. .. o.3o.4x.    ♦  8  0 |  0 12  0  0  0 |  0  6  0  0  0 0  0 0 |  * 4  *  *  *  *  * | 2  0  0  0
xo .. ox .. ..&#x ♦  2  2 |  1  0  4  1  0 |  0  0  2  2  0 0  0 0 |  * * 96  *  *  *  * | 0  1  1  0
xo .. .. .. xx&#x ♦  4  2 |  2  2  4  0  1 |  1  0  2  0  2 0  0 0 |  * *  * 96  *  *  * | 0  0  1  1
.. .. ox3oo ..&#x ♦  1  3 |  0  0  3  3  0 |  0  0  0  3  0 1  0 0 |  * *  *  * 32  *  * | 0  2  0  0
.. .. ox .. xx&#x ♦  2  4 |  0  1  4  2  2 |  0  0  0  2  2 0  1 0 |  * *  *  *  * 48  * | 0  0  2  0
.. .. .. oo4xx&#x ♦  4  4 |  0  4  4  0  4 |  0  1  0  0  4 0  0 1 |  * *  *  *  *  * 24 | 0  0  0  2
------------------+-------+----------------+-----------------------+---------------------+-----------
x. .. o.3o.4x.    ♦ 16  0 |  8 24  0  0  0 | 12 12  0  0  0 0  0 0 |  6 2  0  0  0  0  0 | 4  *  *  *
xo .. ox3oo ..&#x ♦  2  3 |  1  0  6  3  0 |  0  0  3  6  0 1  0 0 |  0 0  3  0  2  0  0 | * 32  *  *
xo .. ox .. xx&#x ♦  4  4 |  2  2  8  2  2 |  1  0  4  4  4 0  1 0 |  0 0  2  2  0  2  0 | *  * 48  *
xo .. .. oo4xx&#x ♦  8  4 |  4  8  8  0  4 |  4  2  4  0  8 0  0 1 |  1 0  0  4  0  0  2 | *  *  * 24

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