Acronym bimtec
Name bimesotruncatotetracontoctachoron
Circumradius sqrt[3a2+4ab sqrt(2)+3b2]
Face vector 576, 1440, 1056, 192
Confer
general polytopal classes:
isogonal  
External
links
polytopewiki

This isogonal polychoron cannot be made uniform, i.e. having all 3 edge types at the same size.


Incidence matrix according to Dynkin symbol

oo3ab4ba3oo&#zc   → height = 0
                  a < b
                  c = |a-b| (2-sqrt(2))

o.3o.4o.3o.     & | 576 |   2   2   1 |   1   4   4 |  2   4
------------------+-----+-------------+-------------+-------
.. a. .. ..     & |   2 | 576   *   * |   1   2   1 |  2   2
.. .. b. ..     & |   2 |   * 576   * |   0   2   1 |  1   2
oo3oo4oo3oo&#c    |   2 |   *   * 288 |   0   0   4 |  0   4
------------------+-----+-------------+-------------+-------
o.3a. .. ..     & |   3 |   3   0   0 | 192   *   * |  2   0
.. a.4b. ..     & |   8 |   4   4   0 |   * 288   * |  1   1
.. ab .. ..&#c  & |   4 |   1   1   2 |   *   * 576 |  0   2
------------------+-----+-------------+-------------+-------
o.3a.4b. ..     & |  24 |  24  12   0 |   8   6   0 | 48   *  tic variant
.. ab4ba ..&#c    |  16 |   8   8   8 |   0   2   8 |  * 144  ditetragonal trapezoprism (op variant)

© 2004-2024
top of page