pac span

Acronym	pac span
Name	partially contracted small prismated penteract
Circumradius	...
Lace city in approx. ASCII-art	square squobcu squobcu square -- pacsid pith squobcu pactic pactic squobcu -- pacsrit squobcu pactic pactic squobcu -- pacsrit square squobcu squobcu square -- pacsid pith
Lace city in approx. ASCII-art	o3o4x x3o4x o3o4x -- pacsid pith x3o4x o3x4x x3o4x -- pacsrit x3o4x o3x4x x3o4x -- pacsrit o3o4x x3o4x o3o4x -- pacsid pith \| \| +-- sidpith \| +----------- srit +-------------------- sidpith
Coordinates	(1/sqrt(2); 1/2, 1/2, 1/2, (1+sqrt(2))/2) & all permutations within all but first coords, all changes of sign (0; 1/2, 1/2, (1+sqrt(2))/2, (1+sqrt(2))/2) & all permutations within all but first coords, all changes of sign
Face vector	224, 1056, 1624, 944, 154
Confer	uniform relative: rat span srittip general polytopal classes: partial Stott expansions

This CRF polyteron can be obtained from span by partial Stott contracting only within axial direction. This just results in the withdrawel of its medial segment, the srittip.

Incidence matrix according to Dynkin symbol

qo xo3ox3oo4xx&#zx   → height = 0

o. o.3o.3o.4o.     | 128  * |   3   3   3   0  0 |   3   6  3   3   3   6  0  0  0  0 |  1  3  3  1   3   6   1   3  3  0  0 | 1 1  1  3  3
.o .o3.o3.o4.o     |   * 96 |   0   0   4   4  2 |   0   0  0   2   8   8  2  2  4  1 |  0  0  0  0   4   4   4   8  4  1  2 | 0 2  2  4  2
-------------------+--------+--------------------+------------------------------------+--------------------------------------+-------------
.. x. .. .. ..     |   2  0 | 192   *   *   *  * |   2   2  0   1   0   0  0  0  0  0 |  1  2  1  0   2   2   0   0  0  0  0 | 1 0  1  2  1
.. .. .. .. x.     |   2  0 |   * 192   *   *  * |   0   2  2   0   0   2  0  0  0  0 |  0  1  2  1   0   2   0   1  2  0  0 | 1 1  0  1  2
oo oo3oo3oo4oo&#x  |   1  1 |   *   * 384   *  * |   0   0  0   1   2   2  0  0  0  0 |  0  0  0  0   2   2   1   2  1  0  0 | 0 1  1  2  1
.. .. .x .. ..     |   0  2 |   *   *   * 192  * |   0   0  0   0   2   0  1  1  1  0 |  0  0  0  0   2   0   2   2  0  1  1 | 0 1  2  2  0
.. .. .. .. .x     |   0  2 |   *   *   *   * 96 |   0   0  0   0   0   4  0  0  2  1 |  0  0  0  0   0   2   0   4  4  0  1 | 0 2  0  2  2
-------------------+--------+--------------------+------------------------------------+--------------------------------------+-------------
.. x.3o. .. ..     |   3  0 |   3   0   0   0  0 | 128   *  *   *   *   *  *  *  *  * |  1  1  0  0   1   0   0   0  0  0  0 | 1 0  1  1  0
.. x. .. .. x.     |   4  0 |   2   2   0   0  0 |   * 192  *   *   *   *  *  *  *  * |  0  1  1  0   0   1   0   0  0  0  0 | 1 0  0  1  1
.. .. .. o.4x.     |   4  0 |   0   4   0   0  0 |   *   * 96   *   *   *  *  *  *  * |  0  0  1  1   0   0   0   0  1  0  0 | 1 1  0  0  1
.. xo .. .. ..&#x  |   2  1 |   1   0   2   0  0 |   *   *  * 192   *   *  *  *  *  * |  0  0  0  0   2   2   0   0  0  0  0 | 0 0  1  2  1
.. .. ox .. ..&#x  |   1  2 |   0   0   2   1  0 |   *   *  *   * 384   *  *  *  *  * |  0  0  0  0   1   0   1   1  0  0  0 | 0 1  1  1  0
.. .. .. .. xx&#x  |   2  2 |   0   1   2   0  1 |   *   *  *   *   * 384  *  *  *  * |  0  0  0  0   0   1   0   1  1  0  0 | 0 1  0  1  1
.. .o3.x .. ..     |   0  3 |   0   0   0   3  0 |   *   *  *   *   *   * 64  *  *  * |  0  0  0  0   2   0   0   0  0  1  1 | 0 0  2  2  0
.. .. .x3.o ..     |   0  3 |   0   0   0   3  0 |   *   *  *   *   *   *  * 64  *  * |  0  0  0  0   0   0   2   0  0  1  0 | 0 1  2  0  0
.. .. .x .. .x     |   0  4 |   0   0   0   2  2 |   *   *  *   *   *   *  *  * 96  * |  0  0  0  0   0   0   0   2  0  0  1 | 0 1  0  2  0
.. .. .. .o4.x     |   0  4 |   0   0   0   0  4 |   *   *  *   *   *   *  *  *  * 24 |  0  0  0  0   0   0   0   0  4  0  0 | 0 2  0  0  2
-------------------+--------+--------------------+------------------------------------+--------------------------------------+-------------
.. x.3o.3o. ..     ♦   4  0 |   6   0   0   0  0 |   4   0  0   0   0   0  0  0  0  0 | 32  *  *  *   *   *   *   *  *  *  * | 1 0  1  0  0
.. x.3o. .. x.     ♦   6  0 |   6   3   0   0  0 |   2   3  0   0   0   0  0  0  0  0 |  * 64  *  *   *   *   *   *  *  *  * | 1 0  0  1  0
.. x. .. o.4x.     ♦   8  0 |   4   8   0   0  0 |   0   4  2   0   0   0  0  0  0  0 |  *  * 48  *   *   *   *   *  *  *  * | 1 0  0  0  1
.. .. o.3o.4x.     ♦   8  0 |   0  12   0   0  0 |   0   0  6   0   0   0  0  0  0  0 |  *  *  * 16   *   *   *   *  *  *  * | 1 1  0  0  0
.. xo3ox .. ..&#x  ♦   3  3 |   3   0   6   3  0 |   1   0  0   3   3   0  1  0  0  0 |  *  *  *  * 128   *   *   *  *  *  * | 0 0  1  1  0
.. xo .. .. xx&#x  ♦   4  2 |   2   2   4   0  1 |   0   1  0   2   0   2  0  0  0  0 |  *  *  *  *   * 192   *   *  *  *  * | 0 0  0  1  1
.. .. ox3oo ..&#x  ♦   1  3 |   0   0   3   3  0 |   0   0  0   0   3   0  0  1  0  0 |  *  *  *  *   *   * 128   *  *  *  * | 0 1  1  0  0
.. .. ox .. xx&#x  ♦   2  4 |   0   1   4   2  2 |   0   0  0   0   2   2  0  0  1  0 |  *  *  *  *   *   *   * 192  *  *  * | 0 1  0  1  0
.. .. .. oo4xx&#x  ♦   4  4 |   0   4   4   0  4 |   0   0  1   0   0   4  0  0  0  1 |  *  *  *  *   *   *   *   * 96  *  * | 0 1  0  0  1
.. .o3.x3.o ..     ♦   0  6 |   0   0   0  12  0 |   0   0  0   0   0   0  4  4  0  0 |  *  *  *  *   *   *   *   *  * 16  * | 0 0  2  0  0
.. .o3.x .. .x     ♦   0  6 |   0   0   0   6  3 |   0   0  0   0   0   0  2  0  3  0 |  *  *  *  *   *   *   *   *  *  * 32 | 0 0  0  2  0
-------------------+--------+--------------------+------------------------------------+--------------------------------------+-------------
.. x.3o.3o.4o.     ♦  64  0 |  96  96   0   0  0 |  64  96 48   0   0   0  0  0  0  0 | 16 32 24  8   0   0   0   0  0  0  0 | 2 *  *  *  *
qo .. ox3oo4oo&#zx ♦  16 24 |   0  24  48  24 24 |   0   0 12   0  48  48  0  8 12  6 |  0  0  0  2   0   0  16  24 12  0  0 | * 8  *  *  *
.. xo3ox3oo ..&#x  ♦   4  6 |   6   0  12  12  0 |   4   0  0   6  12   0  4  4  0  0 |  1  0  0  0   4   0   4   0  0  1  0 | * * 32  *  *
.. xo3ox .. xx&#x  ♦   6  6 |   6   3  12   6  3 |   2   3  0   6   6   6  2  0  3  0 |  0  1  0  0   2   3   0   3  0  0  1 | * *  * 64  *
.. xo .. oo4xx&#x  ♦   8  4 |   4   8   8   0  4 |   0   4  2   4   0   8  0  0  0  1 |  0  0  1  0   0   4   0   0  2  0  0 | * *  *  * 48

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