Acronym ritasrit, rit || srit
Name rectified-tesseract atop small-rhombated-tesseract
Circumradius sqrt[15+9 sqrt(2)]/2 = 2.632865
Lace city
in approx. ASCII-art
        o3x3o
             
             
             
        o3x3q
o3o3x        
             
             
        o3w3o
             
        x3o3w
o3x3x        
             
             
        x3q3x
             
             
x3x3o        
        w3o3x
             
        o3w3o
             
             
x3o3o        
        q3x3o
             
             
             
        o3x3o

  |       +--	o3x3o4x (srit)
  +----------	o3o3x4o (rit)
      o3x4o   o3o4q   o3x4o      	- o3o3x4o (rit)
                                 
x3o4x   o3x4x       o3x4x   x3o4x	- o3x3o4x (srit)
Face vector 128, 576, 720, 328, 58
Confer
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3ox3xo4ox&#x   → height = sqrt[(sqrt(2)-1)/2] = 0.455090
(rit || srit)

o.3o.3o.4o.    | 32  * |  6   6   0  0 |  6  3   6  6  3  0  0  0  0 |  2 3  2  6  3  3  0  0 0 | 1  2  1 3 0
.o3.o3.o4.o    |  * 96 |  0   2   4  2 |  0  0   4  1  2  2  2  4  1 |  0 0  2  2  4  1  1  2 2 | 0  1  2 2 1
---------------+-------+---------------+-----------------------------+--------------------------+------------
.. .. x. ..    |  2  0 | 96   *   *  * |  2  1   0  1  0  0  0  0  0 |  1 2  0  2  0  1  0  0 0 | 1  1  0 2 0
oo3oo3oo4oo&#x |  1  1 |  * 192   *  * |  0  0   2  1  1  0  0  0  0 |  0 0  1  2  2  1  0  0 0 | 0  1  1 2 0
.. .x .. ..    |  0  2 |  *   * 192  * |  0  0   1  0  0  1  1  1  0 |  0 0  1  1  1  0  1  1 1 | 0  1  1 1 1
.. .. .. .x    |  0  2 |  *   *   * 96 |  0  0   0  0  1  0  0  2  1 |  0 0  0  0  2  1  0  1 2 | 0  0  1 2 1
---------------+-------+---------------+-----------------------------+--------------------------+------------
.. o.3x. ..    |  3  0 |  3   0   0  0 | 64  *   *  *  *  *  *  *  * |  1 1  0  1  0  0  0  0 0 | 1  1  0 1 0
.. .. x.4o.    |  4  0 |  4   0   0  0 |  * 24   *  *  *  *  *  *  * |  0 2  0  0  0  1  0  0 0 | 1  0  0 2 0
.. ox .. ..&#x |  1  2 |  0   2   1  0 |  *  * 192  *  *  *  *  *  * |  0 0  1  1  1  0  0  0 0 | 0  1  1 1 0
.. .. xo ..&#x |  2  1 |  1   2   0  0 |  *  *   * 96  *  *  *  *  * |  0 0  0  2  0  1  0  0 0 | 0  1  0 2 0
.. .. .. ox&#x |  1  2 |  0   2   0  1 |  *  *   *  * 96  *  *  *  * |  0 0  0  0  2  1  0  0 0 | 0  0  1 2 0
.o3.x .. ..    |  0  3 |  0   0   3  0 |  *  *   *  *  * 64  *  *  * |  0 0  1  0  0  0  1  0 1 | 0  1  1 0 1
.. .x3.o ..    |  0  3 |  0   0   3  0 |  *  *   *  *  *  * 64  *  * |  0 0  0  1  0  0  1  0 1 | 0  1  0 1 1
.. .x .. .x    |  0  4 |  0   0   2  2 |  *  *   *  *  *  *  * 96  * |  0 0  0  0  1  0  0  1 1 | 0  0  1 1 1
.. .. .o4.x    |  0  4 |  0   0   0  4 |  *  *   *  *  *  *  *  * 24 |  0 0  0  0  0  1  0  0 2 | 0  0  0 2 1
---------------+-------+---------------+-----------------------------+--------------------------+------------
o.3o.3x. ..      4  0 |  6   0   0  0 |  4  0   0  0  0  0  0  0  0 | 16 *  *  *  *  *  *  * * | 1  1  0 0 0
.. o.3x.4o.     12  0 | 24   0   0  0 |  8  6   0  0  0  0  0  0  0 |  * 8  *  *  *  *  *  * * | 1  0  0 1 0
oo3ox .. ..&#x   1  3 |  0   3   3  0 |  0  0   3  0  0  1  0  0  0 |  * * 64  *  *  *  *  * * | 0  1  1 0 0
.. ox3xo ..&#x   3  3 |  3   6   3  0 |  1  0   3  3  0  0  1  0  0 |  * *  * 64  *  *  *  * * | 0  1  0 1 0
.. ox .. ox&#x   1  4 |  0   4   2  2 |  0  0   2  0  2  0  0  1  0 |  * *  *  * 96  *  *  * * | 0  0  1 1 0
.. .. xo4ox&#x   4  4 |  4   8   0  4 |  0  1   0  4  4  0  0  0  1 |  * *  *  *  * 24  *  * * | 0  0  0 2 0
.o3.x3.o ..      0  6 |  0   0  12  0 |  0  0   0  0  0  4  4  0  0 |  * *  *  *  *  * 16  * * | 0  1  0 0 1
.o3.x .. .x      0  6 |  0   0   6  3 |  0  0   0  0  0  2  0  3  0 |  * *  *  *  *  *  * 32 * | 0  0  1 0 1
.. .x3.o4.x      0 24 |  0   0  24 24 |  0  0   0  0  0  0  8 12  6 |  * *  *  *  *  *  *  * 8 | 0  0  0 1 1
---------------+-------+---------------+-----------------------------+--------------------------+------------
o.3o.3x.4o.     32  0 | 96   0   0  0 | 64 24   0  0  0  0  0  0  0 | 16 8  0  0  0  0  0  0 0 | 1  *  * * *
oo3ox3xo ..&#x   4  6 |  6  12  12  0 |  4  0  12  6  0  4  4  0  0 |  1 0  4  4  0  0  1  0 0 | * 16  * * *
oo3ox .. ox&#x   1  6 |  0   6   6  3 |  0  0   6  0  3  2  0  3  0 |  0 0  2  0  3  0  0  1 0 | *  * 32 * *
.. ox3xo4ox&#x  12 24 | 24  48  24 24 |  8  6  24 24 24  0  8 12  6 |  0 1  0  8 12  6  0  0 1 | *  *  * 8 *
.o3.x3.o4.x      0 96 |  0   0 192 96 |  0  0   0  0  0 64 64 96 24 |  0 0  0  0  0  0 16 32 8 | *  *  * * 1

© 2004-2024
top of page