Acronym tho
Name tesseractihemioctachoron,
octahemioctachoron,
vertex figure of hehad
Cross sections
 ©
Circumradius 1/sqrt(2) = 0.707107
Inradius
wrt. tet
1/sqrt(8) = 0.353553
Inradius
wrt. oct
0
Coordinates
  • in orthoplex position:   (1/sqrt(2), 0, 0, 0)   & all permutations, all changes of sign
  • in hemitesseract position:   (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8))   & all even permutations, all even changes of sign
  • in "the other" (mirrored) hemitesseract position:   (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), -1/sqrt(8))   & all even permutations, all even changes of sign
Surface sqrt(8) = 2.828427
General of army hex
Colonel of regiment hex
Dihedral angles
(at margins)
  • at {3} between oct and tet:   60°
Confer
Grünbaumian relatives:
2tho   2tho+24{4}  
general polytopal classes:
segmentochora   non-orientable  
analogs:
demicross hOn  
External
links
hedrondude   polytopewiki   WikiChoron  

This polychoron could also be understood as a modwrap of octet.


Incidence matrix

  8   6 | 12 | 4 3
----+----+----+----
  2 | 24 |  4 | 2 2
----+----+----+----
  3 |  3 | 32 | 1 1
----+----+----+----
 4 |  6 |  4 | 8 *
 6 | 12 |  8 | * 4

© 2004-2022
top of page