Acronym teday
Name truncated decayotton
Circumradius sqrt(41/20) = 1.431782
Inradius
wrt. ene
17/sqrt(180) = 1.267105
Inradius
wrt. tene
1/sqrt(20) = 0.223607
Lace city
in approx. ASCII-art
              o3o3o3o3o3o3o  x3o3o3o3o3o3o  		-- x3o3o3o3o3o3o3o (ene)
                                            
                                            
                                            
                                            
                                            
                                            
                                            
o3o3o3o3o3o3o                 u3o3o3o3o3o3o 		-- u3o3o3o3o3o3o3o (u-ene)
                                            
                                            
                                            
                                            
                                            
                                            
                                            
 x3o3o3o3o3o3o  u3o3o3o3o3o3o  x3x3o3o3o3o3o		-- x3x3o3o3o3o3o3o (tene)
Volume 19673 sqrt(5)/5806080 = 0.0075766
Surface 6553/21504 = 0.304734
Dihedral angles
(at margins)
  • at oca between ene and tene:   arccos(-1/9) = 96.379370°
  • at toc between tene and tene:   arccos(1/9) = 83.620630°
Face vector 90, 405, 960, 1470, 1512, 1050, 480, 135, 20
Confer
general polytopal classes:
Wythoffian polyyotta  
analogs:
truncated simplex tSn  

Incidence matrix according to Dynkin symbol

x3x3o3o3o3o3o3o3o

. . . . . . . . . | 90 |  1   8 |   8  28 |  28   56 |  56   70 |  70  56 |  56  28 | 28  8 |  8  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x . . . . . . . . |  2 | 45   *    8   0 |  28    0 |  56    0 |  70   0 |  56   0 | 28  0 |  8  0
. x . . . . . . . |  2 |  * 360 |   1   7 |   7   21 |  21   35 |  35  35 |  35  21 | 21  7 |  7  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x3x . . . . . . . |  6 |  3   3 | 120   *    7    0 |  21    0 |  35   0 |  35   0 | 21  0 |  7  0
. x3o . . . . . . |  3 |  0   3 |   * 840 |   1    6 |   6   15 |  15  20 |  20  15 | 15  6 |  6  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x3x3o . . . . . .  12 |  6  12 |   4   4 | 210    *    6    0 |  15   0 |  20   0 | 15  0 |  6  0
. x3o3o . . . . .   4 |  0   6 |   0   4 |   * 1260 |   1    5 |   5  10 |  10  10 | 10  5 |  5  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x3x3o3o . . . . .  20 | 10  30 |  10  20 |   5    5 | 252    *    5   0 |  10   0 | 10  0 |  5  0
. x3o3o3o . . . .   5 |  0  10 |   0  10 |   0    5 |   * 1260 |   1   4 |   4   6 |  6  4 |  4  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x3x3o3o3o . . . .  30 | 15  60 |  20  60 |  15   30 |   6    6 | 210   *    4   0 |  6  0 |  4  0
. x3o3o3o3o . . .   6 |  0  15 |   0  20 |   0   15 |   0    6 |   * 840 |   1   3 |  3  3 |  3  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x3x3o3o3o3o . . .  42 | 21 105 |  35 140 |  35  105 |  21   42 |   7   7 | 120   * |  3  0 |  3  0
. x3o3o3o3o3o . .   7 |  0  21 |   0  35 |   0   35 |   0   21 |   0   7 |   * 360 |  1  2 |  2  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x3x3o3o3o3o3o . .  56 | 28 168 |  56 280 |  70  280 |  56  168 |  28  56 |   8   8 | 45  * |  2  0
. x3o3o3o3o3o3o .   8 |  0  28 |   0  56 |   0   70 |   0   56 |   0  28 |   0   8 |  * 90 |  1  1
------------------+----+--------+---------+----------+----------+---------+---------+-------+------
x3x3o3o3o3o3o3o .  72 | 36 252 |  84 504 | 126  630 | 126  504 |  84 252 |  36  72 |  9  9 | 10  *
. x3o3o3o3o3o3o3o   9 |  0  36 |   0  84 |   0  126 |   0  126 |   0  84 |   0  36 |  0  9 |  * 10

© 2004-2024
top of page