Acronym pabac sirn
Name partially bicontracted small rhombated penteract
Circumradius ...
Lace city
in approx. ASCII-art
x3o4x  o3x4x  x3o4x		-- pacsrit
                   
                   
                   
o3x4x  o3o4w  o3x4x		-- pactat
                   
                   
                   
x3o4x  o3x4x  x3o4x		-- pacsrit
Coordinates
  • (1/sqrt(2), 1/sqrt(2); 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+sqrt(2))/2, (1+sqrt(2))/2)         & all permutations within each coords subset, all changes of sign
  • (0, 0; (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2)     & all changes of sign
Confer
uniform relative:
nit   sirn  
general polytopal classes:
partial Stott expansions  

This CRF polyteron can be obtained from sirn by partial Stott contraction only within 2 orthogonal axial directions.


Incidence matrix according to Dynkin symbol

qoo4oxo xoo3oxo4xxw&#zxt

o..4o.. o..3o..4o..      | 96  * * |  2  2   4  0  0  0  0 |  1  2  1   2   4   2   4  0  0  0  0 | 1  2  2  1  2  2  4  0  0 | 1 2  1  2
.o.4.o. .o.3.o.4.o.      |  * 96 * |  0  0   4  2  2  1  1 |  0  0  0   4   2   4   4  2  1  2  2 | 0  2  2  4  4  2  2  1  1 | 2 1  2  2
..o4..o ..o3..o4..o      |  *  * 8   0  0   0  0  0  0 12 |  0  0  0   0   0   0   0  0  0 12 12 | 0  0  0 12  0  0  0  3  4 | 3 0  4  0
-------------------------+---------+-----------------------+--------------------------------------+---------------------------+----------
... ... x.. ... ...      |  2  0 0 | 96  *   *  *  *  *  * |  1  1  0   0   2   0   0  0  0  0  0 | 1  0  1  0  0  2  2  0  0 | 0 2  1  1
... ... ... ... x..      |  2  0 0 |  * 96   *  *  *  *  * |  0  1  1   0   0   0   2  0  0  0  0 | 1  2  0  0  1  0  2  0  0 | 1 2  0  1
oo.4oo. oo.3oo.4oo.&#x   |  1  1 0 |  *  * 384  *  *  *  * |  0  0  0   1   1   1   1  0  0  0  0 | 0  1  1  1  1  1  1  0  0 | 1 1  1  1
... .x. ... ... ...      |  0  2 0 |  *  *   * 96  *  *  * |  0  0  0   2   0   0   0  1  0  1  0 | 0  0  1  2  2  0  0  1  0 | 2 0  1  1
... ... ... .x. ...      |  0  2 0 |  *  *   *  * 96  *  * |  0  0  0   0   0   2   0  0  1  0  1 | 0  1  0  2  0  2  0  0  1 | 1 1  2  0
... ... ... ... .x.      |  0  2 0 |  *  *   *  *  * 48  * |  0  0  0   0   0   0   4  2  0  0  0 | 0  2  0  0  4  0  2  1  0 | 2 1  0  2
.oo4.oo .oo3.oo4.oo&#x   |  0  1 1 |  *  *   *  *  *  * 96 |  0  0  0   0   0   0   0  0  0  2  2 | 0  0  0  4  0  0  0  1  1 | 2 0  2  0
-------------------------+---------+-----------------------+--------------------------------------+---------------------------+----------
... ... x..3o.. ...      |  3  0 0 |  3  0   0  0  0  0  0 | 32  *  *   *   *   *   *  *  *  *  * | 1  0  0  0  0  2  0  0  0 | 0 2  1  0
... ... x.. ... x..      |  4  0 0 |  2  2   0  0  0  0  0 |  * 48  *   *   *   *   *  *  *  *  * | 1  0  0  0  0  0  2  0  0 | 0 2  0  1
... ... ... o..4x..      |  4  0 0 |  0  4   0  0  0  0  0 |  *  * 24   *   *   *   *  *  *  *  * | 1  2  0  0  0  0  0  0  0 | 1 2  0  0
... ox. ... ... ...&#x   |  1  2 0 |  0  0   2  1  0  0  0 |  *  *  * 192   *   *   *  *  *  *  * | 0  0  1  1  1  0  0  0  0 | 1 0  1  1
... ... xo. ... ...&#x   |  2  1 0 |  1  0   2  0  0  0  0 |  *  *  *   * 192   *   *  *  *  *  * | 0  0  1  0  0  1  1  0  0 | 0 1  1  1
... ... ... ox. ...&#x   |  1  2 0 |  0  0   2  0  1  0  0 |  *  *  *   *   * 192   *  *  *  *  * | 0  1  0  1  0  1  0  0  0 | 1 1  1  0
... ... ... ... xx.&#x   |  2  2 0 |  0  1   2  0  0  1  0 |  *  *  *   *   *   * 192  *  *  *  * | 0  1  0  0  1  0  1  0  0 | 1 1  0  1
... .x. ... ... .x.      |  0  4 0 |  0  0   0  2  0  2  0 |  *  *  *   *   *   *   * 48  *  *  * | 0  0  0  0  2  0  0  1  0 | 2 0  0  1
... ... .o.3.x. ...      |  0  3 0 |  0  0   0  0  3  0  0 |  *  *  *   *   *   *   *  * 32  *  * | 0  0  0  0  0  2  0  0  1 | 0 1  2  0
... .xo ... ... ...&#x   |  0  2 1 |  0  0   0  1  0  0  2 |  *  *  *   *   *   *   *  *  * 96  * | 0  0  0  2  0  0  0  1  0 | 2 0  1  0
... ... ... .xo ...&#x   |  0  2 1 |  0  0   0  0  1  0  2 |  *  *  *   *   *   *   *  *  *  * 96 | 0  0  0  2  0  0  0  0  1 | 1 0  2  0
-------------------------+---------+-----------------------+--------------------------------------+---------------------------+----------
... ... x..3o..4x..       24  0 0 | 24 24   0  0  0  0  0 |  8 12  6   0   0   0   0  0  0  0  0 | 4  *  *  *  *  *  *  *  * | 0 2  0  0
qo. ... ... ox.4xx.&#zx    8  8 0 |  0  8  16  0  4  4  0 |  0  0  2   0   0   8   8  0  0  0  0 | * 24  *  *  *  *  *  *  * | 1 1  0  0
... ox. xo. ... ...&#x     2  2 0 |  1  0   4  1  0  0  0 |  0  0  0   2   2   0   0  0  0  0  0 | *  * 96  *  *  *  *  *  * | 0 0  1  1
... oxo ... oxo ...&#xt    1  4 1 |  0  0   4  2  2  0  4 |  0  0  0   2   0   2   0  0  0  2  2 | *  *  * 96  *  *  *  *  * | 1 0  1  0
... ox. ... ... xx.&#x     2  4 0 |  0  1   4  2  0  2  0 |  0  0  0   2   0   0   2  1  0  0  0 | *  *  *  * 96  *  *  *  * | 1 0  0  1
... ... xo.3ox. ...&#x     3  3 0 |  3  0   6  0  3  0  0 |  1  0  0   0   3   3   0  0  1  0  0 | *  *  *  *  * 64  *  *  * | 0 1  1  0
... ... xo. ... xx.&#x     4  2 0 |  2  2   4  0  0  1  0 |  0  1  0   0   2   0   2  0  0  0  0 | *  *  *  *  *  * 96  *  * | 0 1  0  1
.oo4.xo ... ... .xw&#zx    0  8 2 |  0  0   0  8  0  4  8 |  0  0  0   0   0   0   0  4  0  8  0 | *  *  *  *  *  *  * 12  * | 2 0  0  0
... ... .oo3.xo ...&#x     0  3 1 |  0  0   0  0  3  0  3 |  0  0  0   0   0   0   0  0  1  0  3 | *  *  *  *  *  *  *  * 32 | 0 0  2  0
-------------------------+---------+-----------------------+--------------------------------------+---------------------------+----------
qoo4oxo ... oxo4xxw&#zxt  16 32 4 |  0 16  64 32 16 16 32 |  0  0  4  32   0  32  32 16  0 32 16 | 0  4  0 16 16  0  0  4  0 | 6 *  *  *
qo. ... xo.3ox.4xx.&#zx   48 24 0 | 48 48  96  0 24 12  0 | 16 24 12   0  48  48  48  0  8  0  0 | 2  6  0  0  0 16 24  0  0 | * 4  *  *
... oxo xoo3oxo ...&#xt    3  6 1 |  3  0  12  3  6  0  6 |  1  0  0   6   6   6   0  0  2  3  6 | 0  0  3  3  0  2  0  0  2 | * * 32  *
... ox. xo. ... xx.&#x     4  4 0 |  2  2   8  2  0  2  0 |  0  1  0   4   4   0   4  1  0  0  0 | 0  0  2  0  2  0  2  0  0 | * *  * 48

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