Acronym pabdinit (alt: sripalsrip)
Name parabidiminished nit,
small rhombated pentachoron atop inverted small rhombated pentachoron,
equatorial segment of nit
Circumradius sqrt(3/2) = 1.224745
Lace city
in approx. ASCII-art
o3x3o x3o3x      
                 
                 
                 
   x3x3o o3x3x   
                 
                 
                 
      x3o3x o3x3o
   
         \     \ 
          \     +------- x3o3x3o (srip)
           +------------ o3x3o3x (inv. srip)
Confer
uniform relative:
nit  
related segmentotera:
coa tutcup   rapasrip  
related CRFs:
mibdinit  
general polytopal classes:
segmentotera   fundamental lace prisms   scaliform  

Incidence matrix according to Dynkin symbol

ox3xo3ox3xo&#x   → height = sqrt(2/5) = 0.632456
(srip || inv srip)

o.3o.3o.3o.    | 30  * |  4  2   4  0  0 |  2  2  4  1  2  4  2  4  0  0  0  0 | 1  2 2  2  1  2  2  4  2 0  0 0 | 1 1  2  1 2 0
.o3.o3.o3.o    |  * 30 |  0  0   4  2  4 |  0  0  0  0  4  2  4  2  1  4  2  2 | 0  0 0  2  4  2  2  1  2 2  2 1 | 0 2  1  2 1 1
---------------+-------+-----------------+-------------------------------------+---------------------------------+--------------
.. x. .. ..    |  2  0 | 60  *   *  *  * |  1  1  1  0  0  1  0  0  0  0  0  0 | 1  1 1  1  0  0  1  1  0 0  0 0 | 1 1  1  0 1 0
.. .. .. x.    |  2  0 |  * 30   *  *  * |  0  0  2  1  0  0  0  2  0  0  0  0 | 0  1 2  0  0  1  0  2  2 0  0 0 | 1 0  1  1 2 0
oo3oo3oo3oo&#x |  1  1 |  *  * 120  *  * |  0  0  0  0  1  1  1  1  0  0  0  0 | 0  0 0  1  1  1  1  1  1 0  0 0 | 0 1  1  1 1 0
.x .. .. ..    |  0  2 |  *  *   * 30  * |  0  0  0  0  2  0  0  0  1  2  0  0 | 0  0 0  2  2  1  0  0  0 2  1 0 | 0 2  1  1 0 1
.. .. .x ..    |  0  2 |  *  *   *  * 60 |  0  0  0  0  0  0  1  0  0  1  1  1 | 0  0 0  0  1  0  1  0  1 1  1 1 | 0 1  0  1 1 1
---------------+-------+-----------------+-------------------------------------+---------------------------------+--------------
o.3x. .. ..    |  3  0 |  3  0   0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  * | 1  1 0  1  0  0  0  0  0 0  0 0 | 1 1  1  0 0 0
.. x.3o. ..    |  3  0 |  3  0   0  0  0 |  * 20  *  *  *  *  *  *  *  *  *  * | 1  0 1  0  0  0  1  0  0 0  0 0 | 1 1  0  0 1 0
.. x. .. x.    |  4  0 |  2  2   0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  * | 0  1 1  0  0  0  0  1  0 0  0 0 | 1 0  1  0 1 0
.. .. o.3x.    |  3  0 |  0  3   0  0  0 |  *  *  * 10  *  *  *  *  *  *  *  * | 0  0 2  0  0  0  0  0  2 0  0 0 | 1 0  0  1 2 0
ox .. .. ..&#x |  1  2 |  0  0   2  1  0 |  *  *  *  * 60  *  *  *  *  *  *  * | 0  0 0  1  1  1  0  0  0 0  0 0 | 0 1  1  1 0 0
.. xo .. ..&#x |  2  1 |  1  0   2  0  0 |  *  *  *  *  * 60  *  *  *  *  *  * | 0  0 0  1  0  0  1  1  0 0  0 0 | 0 1  1  0 1 0
.. .. ox ..&#x |  1  2 |  0  0   2  0  1 |  *  *  *  *  *  * 60  *  *  *  *  * | 0  0 0  0  1  0  1  0  1 0  0 0 | 0 1  0  1 1 0
.. .. .. xo&#x |  2  1 |  0  1   2  0  0 |  *  *  *  *  *  *  * 60  *  *  *  * | 0  0 0  0  0  1  0  1  1 0  0 0 | 0 0  1  1 1 0
.x3.o .. ..    |  0  3 |  0  0   0  3  0 |  *  *  *  *  *  *  *  * 10  *  *  * | 0  0 0  2  0  0  0  0  0 2  0 0 | 0 2  1  0 0 1
.x .. .x ..    |  0  4 |  0  0   0  2  2 |  *  *  *  *  *  *  *  *  * 30  *  * | 0  0 0  0  1  0  0  0  0 1  1 0 | 0 1  0  1 0 1
.. .o3.x ..    |  0  3 |  0  0   0  0  3 |  *  *  *  *  *  *  *  *  *  * 20  * | 0  0 0  0  0  0  1  0  0 1  0 1 | 0 1  0  0 1 1
.. .. .x3.o    |  0  3 |  0  0   0  0  3 |  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0 0  0  0  0  0  0  1 0  1 1 | 0 0  0  1 1 1
---------------+-------+-----------------+-------------------------------------+---------------------------------+--------------
o.3x.3o. ..      6  0 | 12  0   0  0  0 |  4  4  0  0  0  0  0  0  0  0  0  0 | 5  * *  *  *  *  *  *  * *  * * | 1 1  0  0 0 0
o.3x. .. x.      6  0 |  6  3   0  0  0 |  2  0  3  0  0  0  0  0  0  0  0  0 | * 10 *  *  *  *  *  *  * *  * * | 1 0  1  0 0 0
.. x.3o.3x.     12  0 | 12 12   0  0  0 |  0  4  6  4  0  0  0  0  0  0  0  0 | *  * 5  *  *  *  *  *  * *  * * | 1 0  0  0 1 0
ox3xo .. ..&#x   3  3 |  3  0   6  3  0 |  1  0  0  0  3  3  0  0  1  0  0  0 | *  * * 20  *  *  *  *  * *  * * | 0 1  1  0 0 0
ox .. ox ..&#x   1  4 |  0  0   4  2  2 |  0  0  0  0  2  0  2  0  0  1  0  0 | *  * *  * 30  *  *  *  * *  * * | 0 1  0  1 0 0
ox .. .. xo&#x   2  2 |  0  1   4  1  0 |  0  0  0  0  2  0  0  2  0  0  0  0 | *  * *  *  * 30  *  *  * *  * * | 0 0  1  1 0 0
.. xo3ox ..&#x   3  3 |  3  0   6  0  3 |  0  1  0  0  0  3  3  0  0  0  1  0 | *  * *  *  *  * 20  *  * *  * * | 0 1  0  0 1 0
.. xo .. xo&#x   4  1 |  2  2   4  0  0 |  0  0  1  0  0  2  0  2  0  0  0  0 | *  * *  *  *  *  * 30  * *  * * | 0 0  1  0 1 0
.. .. ox3xo&#x   3  3 |  0  3   6  0  3 |  0  0  0  1  0  0  3  3  0  0  0  1 | *  * *  *  *  *  *  * 20 *  * * | 0 0  0  1 1 0
.x3.o3.x ..      0 12 |  0  0   0 12 12 |  0  0  0  0  0  0  0  0  4  6  4  0 | *  * *  *  *  *  *  *  * 5  * * | 0 1  0  0 0 1
.x .. .x3.o      0  6 |  0  0   0  3  6 |  0  0  0  0  0  0  0  0  0  3  0  2 | *  * *  *  *  *  *  *  * * 10 * | 0 0  0  1 0 1
.. .o3.x3.o      0  6 |  0  0   0  0 12 |  0  0  0  0  0  0  0  0  0  0  4  4 | *  * *  *  *  *  *  *  * *  * 5 | 0 0  0  0 1 1
---------------+-------+-----------------+-------------------------------------+---------------------------------+--------------
o.3x.3o.3x.     30  0 | 60 30   0  0  0 | 20 20 30 10  0  0  0  0  0  0  0  0 | 5 10 5  0  0  0  0  0  0 0  0 0 | 1 *  *  * * *
ox3xo3ox ..&#x   6 12 | 12  0  24 12 12 |  4  4  0  0 12 12 12  0  4  6  4  0 | 1  0 0  4  6  0  4  0  0 1  0 0 | * 5  *  * * *
ox3xo .. xo&#x   6  3 |  6  3  12  3  0 |  2  0  3  0  6  6  0  6  1  0  0  0 | 0  1 0  2  0  3  0  3  0 0  0 0 | * * 10  * * *
ox .. ox3xo&#x   3  6 |  0  3  12  3  6 |  0  0  0  1  6  0  6  6  0  3  0  2 | 0  0 0  0  3  3  0  0  2 0  1 0 | * *  * 10 * *
.. xo3ox3xo&#x  12  6 | 12 12  24  0 12 |  0  4  6  4  0 12 12 12  0  0  4  4 | 0  0 1  0  0  0  4  6  4 0  0 1 | * *  *  * 5 *
.x3.o3.x3.o      0 30 |  0  0   0 30 60 |  0  0  0  0  0  0  0  0 10 30 20 20 | 0  0 0  0  0  0  0  0  0 5 10 5 | * *  *  * * 1
or
o.3o.3o.3o.    & | 60 |   4  2   4 |  2  2  4  1   6   6 |  1  2  2  4  5  2  2 | 1  3  3
-----------------+----+------------+---------------------+----------------------+--------
.. x. .. ..    & |  2 | 120  *   * |  1  1  1  0   0   1 |  1  1  1  1  1  0  1 | 1  2  1
.. .. .. x.    & |  2 |   * 60   * |  0  0  2  1   2   0 |  0  1  2  2  2  1  0 | 1  2  2
oo3oo3oo3oo&#x   |  2 |   *  * 120 |  0  0  0  0   2   2 |  0  0  0  2  2  1  1 | 0  2  2
-----------------+----+------------+---------------------+----------------------+--------
o.3x. .. ..    & |  3 |   3  0   0 | 40  *  *  *   *   * |  1  1  0  1  0  0  0 | 1  1  1
.. x.3o. ..    & |  3 |   3  0   0 |  * 40  *  *   *   * |  1  0  1  0  0  0  1 | 1  2  0
.. x. .. x.    & |  4 |   2  2   0 |  *  * 60  *   *   * |  0  1  1  0  1  0  0 | 1  1  1
.. .. o.3x.    & |  3 |   0  3   0 |  *  *  * 20   *   * |  0  0  2  2  0  0  0 | 1  2  1
ox .. .. ..&#x & |  3 |   0  1   2 |  *  *  *  * 120   * |  0  0  0  1  1  1  0 | 0  1  2
.. xo .. ..&#x & |  3 |   1  0   2 |  *  *  *  *   * 120 |  0  0  0  1  1  0  1 | 0  2  1
-----------------+----+------------+---------------------+----------------------+--------
o.3x.3o. ..    &   6 |  12  0   0 |  4  4  0  0   0   0 | 10  *  *  *  *  *  * | 1  1  0
o.3x. .. x.    &   6 |   6  3   0 |  2  0  3  0   0   0 |  * 20  *  *  *  *  * | 1  0  1
.. x.3o.3x.    &  12 |  12 12   0 |  0  4  6  4   0   0 |  *  * 10  *  *  *  * | 1  1  0
ox3xo .. ..&#x &   6 |   3  3   6 |  1  0  0  1   3   3 |  *  *  * 40  *  *  * | 0  1  1
ox .. ox ..&#x &   5 |   2  2   4 |  0  0  1  0   2   2 |  *  *  *  * 60  *  * | 0  1  1
ox .. .. xo&#x     4 |   0  2   4 |  0  0  0  0   4   0 |  *  *  *  *  * 30  * | 0  0  2
.. xo3ox ..&#x     6 |   6  0   6 |  0  2  0  0   0   6 |  *  *  *  *  *  * 20 | 0  2  0
-----------------+----+------------+---------------------+----------------------+--------
o.3x.3o.3x.    &  30 |  60 30   0 | 20 20 30 10   0   0 |  5 10  5  0  0  0  0 | 2  *  *
ox3xo3ox ..&#x &  18 |  24 12  24 |  4  8  6  4  12  24 |  1  0  1  4  6  0  4 | * 10  *
ox3xo .. xo&#x &   9 |   6  6  12 |  2  0  3  1  12   6 |  0  1  0  2  3  3  0 | *  * 20

© 2004-2019
top of page