Acronym pabdico
Name parabidiminished icositetrachoron,
hexa-augmented tesseract
Circumradius 1
Edge radius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art 
o3o   q3o   o3q   o3o
                     
   o3q         q3o   
                     
o3o   q3o   o3q   o3o

     x4o       x4o     
                       
o4o       o4q       o4o
                       
     x4o       x4o
Coordinates
  1. (1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
  2. (1, 0, 0, 0)               & permutations of all but last coord., all changes of sign
Dihedral angles
Face vector 22, 80, 84, 26
Confer
uniform relative:
ico   tes  
blend-components:
tes   cubpy  
general polytopal classes:
bistratic lace towers  

Incidence matrix according to Dynkin symbol

oq3oo4xo xo&#zx   → height = 0
(tegum sum of tes and q-oct)

o.3o.4o. o.     | 16 * |  3 1  3 |  3  6  3 | 1  3  3
.o3.o4.o .o     |  * 6 ♦  0 0  8 |  0  8  4 | 0  2  4
----------------+------+---------+----------+--------
.. .. x. ..     |  2 0 | 24 *  * |  2  2  0 | 1  2  1
.. .. .. x.     |  2 0 |  * 8  * |  0  0  3 | 0  0  3
oo3oo4oo oo&#x  |  1 1 |  * * 48 |  0  2  1 | 0  1  2
----------------+------+---------+----------+--------
.. o.4x. ..     |  4 0 |  4 0  0 | 12  *  * | 1  1  0
.. .. xo ..&#x  |  2 1 |  1 0  2 |  * 48  * | 0  1  1
.. .. .. xo&#x  |  2 1 |  0 1  2 |  *  * 24 | 0  0  2
----------------+------+---------+----------+--------
o.3o.4x. ..     ♦  8 0 | 12 0  0 |  6  0  0 | 2  *  *
.. oo4xo ..&#x  ♦  4 1 |  4 0  4 |  1  4  0 | * 12  *
oq .. xo xo&#zx ♦  4 2 |  2 2  8 |  0  4  4 | *  * 12

© 2004-2024
top of page