Acronym deca aprip
Name deca atop prip
Circumradius sqrt(21/8) = 1.620185
Lace city
in approx. ASCII-art
  x3x3o   o3u3o   o3x3x      		-- o3x3x3o (deca)
                             
                             
o3x3x   x3x3x   x3o3u   x3o3x		-- o3x3x3o (prip)
Face vector 90, 330, 400, 190, 32
Confer
uniform relative:
sirhin  
segmentotera:
tutcupa toe  
general polytopal classes:
segmentotera   lace simplices  

This polyteron occurs as rap-first subsegment of sirhin.


Incidence matrix according to Dynkin symbol

ox3xo3xx3ox&#x   → height = sqrt(2/5) = 0.632456
(deca || prip)

o.3o.3o.3o.    | 30  * |  2  2   4  0  0  0 |  1  4  1  2  4  4  2  0  0  0  0  0 | 2 2  2  2  1  4  2  2 0  0  0 0 | 1 2  1  1 2 0
.o3.o3.o3.o    |  * 60 |  0  0   2  2  2  1 |  0  0  0  2  1  2  2  1  2  2  1  2 | 0 0  1  2  2  1  2  2 1  1  2 1 | 0 1  1  2 1 1
---------------+-------+--------------------+-------------------------------------+---------------------------------+--------------
.. x. .. ..    |  2  0 | 30  *   *  *  *  * |  1  2  0  0  2  0  0  0  0  0  0  0 | 2 1  2  0  0  2  1  0 0  0  0 0 | 1 2  1  0 1 0
.. .. x. ..    |  2  0 |  * 30   *  *  *  * |  0  2  1  0  0  2  0  0  0  0  0  0 | 1 2  0  1  0  2  0  2 0  0  0 0 | 1 1  0  1 2 0
oo3oo3oo3oo&#x |  1  1 |  *  * 120  *  *  * |  0  0  0  1  1  1  1  0  0  0  0  0 | 0 0  1  1  1  1  1  1 0  0  0 0 | 0 1  1  1 1 0
.x .. .. ..    |  0  2 |  *  *   * 60  *  * |  0  0  0  1  0  0  0  1  1  1  0  0 | 0 0  1  1  1  0  0  0 1  1  1 0 | 0 1  1  1 0 1
.. .. .x ..    |  0  2 |  *  *   *  * 60  * |  0  0  0  0  0  1  0  0  1  0  1  1 | 0 0  0  1  0  1  0  1 1  0  1 1 | 0 1  0  1 1 1
.. .. .. .x    |  0  2 |  *  *   *  *  * 30 |  0  0  0  0  0  0  2  0  0  2  0  2 | 0 0  0  0  2  0  1  2 0  1  2 1 | 0 0  1  2 1 1
---------------+-------+--------------------+-------------------------------------+---------------------------------+--------------
o.3x. .. ..    |  3  0 |  3  0   0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  *  * | 2 0  2  0  0  0  0  0 0  0  0 0 | 1 2  1  0 0 0
.. x.3x. ..    |  6  0 |  3  3   0  0  0  0 |  * 20  *  *  *  *  *  *  *  *  *  * | 1 1  0  0  0  1  0  0 0  0  0 0 | 1 1  0  0 1 0
.. .. x.3o.    |  3  0 |  0  3   0  0  0  0 |  *  * 10  *  *  *  *  *  *  *  *  * | 0 2  0  0  0  0  0  2 0  0  0 0 | 1 0  0  1 2 0
ox .. .. ..&#x |  1  2 |  0  0   2  1  0  0 |  *  *  * 60  *  *  *  *  *  *  *  * | 0 0  1  1  1  0  0  0 0  0  0 0 | 0 1  1  1 0 0
.. xo .. ..&#x |  2  1 |  1  0   2  0  0  0 |  *  *  *  * 60  *  *  *  *  *  *  * | 0 0  1  0  0  1  1  0 0  0  0 0 | 0 1  1  0 1 0
.. .. xx ..&#x |  2  2 |  0  1   2  0  1  0 |  *  *  *  *  * 60  *  *  *  *  *  * | 0 0  0  1  0  1  0  1 0  0  0 0 | 0 1  0  1 1 0
.. .. .. ox&#x |  1  2 |  0  0   2  0  0  1 |  *  *  *  *  *  * 60  *  *  *  *  * | 0 0  0  0  1  0  1  1 0  0  0 0 | 0 0  1  1 1 0
.x3.o .. ..    |  0  3 |  0  0   0  3  0  0 |  *  *  *  *  *  *  * 20  *  *  *  * | 0 0  1  0  0  0  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .x ..    |  0  4 |  0  0   0  2  2  0 |  *  *  *  *  *  *  *  * 30  *  *  * | 0 0  0  1  0  0  0  0 1  0  1 0 | 0 1  0  1 0 1
.x .. .. .x    |  0  4 |  0  0   0  2  0  2 |  *  *  *  *  *  *  *  *  * 30  *  * | 0 0  0  0  1  0  0  0 0  1  1 0 | 0 0  1  1 0 1
.. .o3.x ..    |  0  3 |  0  0   0  0  3  0 |  *  *  *  *  *  *  *  *  *  * 20  * | 0 0  0  0  0  1  0  0 1  0  0 1 | 0 1  0  0 1 1
.. .. .x3.x    |  0  6 |  0  0   0  0  3  3 |  *  *  *  *  *  *  *  *  *  *  * 20 | 0 0  0  0  0  0  0  1 0  0  1 1 | 0 0  0  1 1 1
---------------+-------+--------------------+-------------------------------------+---------------------------------+--------------
o.3x.3x. ..     12  0 | 12  6   0  0  0  0 |  4  4  0  0  0  0  0  0  0  0  0  0 | 5 *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
.. x.3x.3o.     12  0 |  6 12   0  0  0  0 |  0  4  4  0  0  0  0  0  0  0  0  0 | * 5  *  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
ox3xo .. ..&#x   3  3 |  3  0   6  3  0  0 |  1  0  0  3  3  0  0  1  0  0  0  0 | * * 20  *  *  *  *  * *  *  * * | 0 1  1  0 0 0
ox .. xx ..&#x   2  4 |  0  1   4  2  2  0 |  0  0  0  2  0  2  0  0  1  0  0  0 | * *  * 30  *  *  *  * *  *  * * | 0 1  0  1 0 0
ox .. .. ox&#x   1  4 |  0  0   4  2  0  2 |  0  0  0  2  0  0  2  0  0  1  0  0 | * *  *  * 30  *  *  * *  *  * * | 0 0  1  1 0 0
.. xo3xx ..&#x   6  3 |  3  3   6  0  3  0 |  0  1  0  0  3  3  0  0  0  0  1  0 | * *  *  *  * 20  *  * *  *  * * | 0 1  0  0 1 0
.. xo .. ox&#x   2  2 |  1  0   4  0  0  1 |  0  0  0  0  2  0  2  0  0  0  0  0 | * *  *  *  *  * 30  * *  *  * * | 0 0  1  0 1 0
.. .. xx3ox&#x   3  6 |  0  3   6  0  3  3 |  0  0  1  0  0  3  3  0  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  0  4  0 | * *  *  *  *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.o .. .x      0  6 |  0  0   0  6  0  3 |  0  0  0  0  0  0  0  2  0  3  0  0 | * *  *  *  *  *  *  * * 10  * * | 0 0  1  0 0 1
.x .. .x3.x      0 12 |  0  0   0  6  6  6 |  0  0  0  0  0  0  0  0  3  3  0  2 | * *  *  *  *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .o3.x3.x      0 12 |  0  0   0  0 12  6 |  0  0  0  0  0  0  0  0  0  0  4  4 | * *  *  *  *  *  *  * *  *  * 5 | 0 0  0  0 1 1
---------------+-------+--------------------+-------------------------------------+---------------------------------+--------------
o.3x.3x.3o.     30  0 | 30 30   0  0  0  0 | 10 20 10  0  0  0  0  0  0  0  0  0 | 5 5  0  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
ox3xo3xx ..&#x  12 12 | 12  6  24 12 12  0 |  4  4  0 12 12 12  0  4  6  0  4  0 | 1 0  4  6  0  4  0  0 1  0  0 0 | * 5  *  * * *
ox3xo .. ox&#x   3  6 |  3  0  12  6  0  3 |  1  0  0  6  6  0  6  2  0  3  0  0 | 0 0  2  0  3  0  3  0 0  1  0 0 | * * 10  * * *
ox .. xx3ox&#x   3 12 |  0  3  12  6  6  6 |  0  0  1  6  0  6  6  0  3  3  0  2 | 0 0  0  3  3  0  0  2 0  0  1 0 | * *  * 10 * *
.. xo3xx3ox&#x  12 12 |  6 12  24  0 12  6 |  0  4  4  0 12 12 12  0  0  0  4  4 | 0 1  0  0  0  4  6  4 0  0  0 1 | * *  *  * 5 *
.x3.o3.x3.x      0 60 |  0  0   0 60 60 30 |  0  0  0  0  0  0  0 20 30 30 20 20 | 0 0  0  0  0  0  0  0 5 10 10 5 | * *  *  * * 1

© 2004-2024
top of page