Acronym toc
Name truncated octaexon
Circumradius sqrt(31)/4 = 1.391941
Inradius
wrt. hop
13/sqrt(112) = 1.228385
Inradius
wrt. til
3/sqrt(112) = 0.283473
Lace city
in approx. ASCII-art
          o3o3o3o3o  x3o3o3o3o  		-- x3o3o3o3o3o (hop)
                                
                                
                                
                                
o3o3o3o3o             u3o3o3o3o 		-- u3o3o3o3o3o (u-hop)
                                
                                
                                
                                
 x3o3o3o3o  u3o3o3o3o  x3x3o3o3o		-- x3x3o3o3o3o (til)
Volume 2179/20160 = 0.108085
Surface 241 sqrt(7)/240 = 2.656775
Dihedral angles
(at margins)
  • at hix between hop and til:   arccos(-1/7) = 98.213211°
  • at tix between til and til:   arccos(1/7) = 81.786789°
Face vector 56, 196, 336, 350, 224, 84, 16
Confer
general polytopal classes:
Wythoffian polyexa  
analogs:
truncated simplex tSn  
External
links
wikipedia   polytopewiki

Incidence matrix according to Dynkin symbol

x3x3o3o3o3o3o

. . . . . . . | 56 |  1   6 |  6  15 | 15  20 | 20  15 | 15  6 | 6 1
--------------+----+--------+--------+--------+--------+-------+----
x . . . . . . |  2 | 28   *   6   0 | 15   0 | 20   0 | 15  0 | 6 0
. x . . . . . |  2 |  * 168 |  1   5 |  5  10 | 10  10 | 10  5 | 5 1
--------------+----+--------+--------+--------+--------+-------+----
x3x . . . . . |  6 |  3   3 | 56   *   5   0 | 10   0 | 10  0 | 5 0
. x3o . . . . |  3 |  0   3 |  * 280 |  1   4 |  4   6 |  6  4 | 4 1
--------------+----+--------+--------+--------+--------+-------+----
x3x3o . . . .  12 |  6  12 |  4   4 | 70   *   4   0 |  6  0 | 4 0
. x3o3o . . .   4 |  0   6 |  0   4 |  * 280 |  1   3 |  3  3 | 3 1
--------------+----+--------+--------+--------+--------+-------+----
x3x3o3o . . .  20 | 10  30 | 10  20 |  5   5 | 56   * |  3  0 | 3 0
. x3o3o3o . .   5 |  0  10 |  0  10 |  0   5 |  * 168 |  1  2 | 2 1
--------------+----+--------+--------+--------+--------+-------+----
x3x3o3o3o . .  30 | 15  60 | 20  60 | 15  30 |  6   6 | 28  * | 2 0
. x3o3o3o3o .   6 |  0  15 |  0  20 |  0  15 |  0   6 |  * 56 | 1 1
--------------+----+--------+--------+--------+--------+-------+----
x3x3o3o3o3o .  42 | 21 105 | 35 140 | 35 105 | 21  42 |  7  7 | 8 *
. x3o3o3o3o3o   7 |  0  21 |  0  35 |  0  35 |  0  21 |  0  7 | * 8

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