Acronym bidex
Name bi-icositetradiminished hexacosachoron
 
 ©
Circumradius (1+sqrt(5))/2 = 1.618034
Vertex figure
 ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between teddi and tet:   arccos(-sqrt[7+3sqrt(5)]/4) = 157.761244°
  • at {5} between teddi and teddi:   144°
Confer
uniform relative:
ex   sadi  
related CRFs:
bidsid pixhi  
segmentochora:
ikepy  
related scaliform:
birgax  
general polytopal classes:
noble polytopes  
External
links
hedrondude   quickfur
© 

This one can be obtained by chopping off the 48 vertices of an ex, which correspond to 2 vertex-inscribed f-ico. In fact 48 ikepy are to be cut off. But in contrast to sadi those ikepy would intersect here, resulting in teddi cells instead. – Bidex likewise can be obtained from sadi by chopping off the 24 vertices of a further vertex-inscribed f-ico.

The bidex vertex figure is a faceting of ike, having 4 (x,f,f)-triangles and 2 (x,x,x,f)-trapezia. Btw., that vertex figure is a self-dual chiral polyhedron, in fact the dual is nothing but a rotated copy, i.e. dualization even respects its handedness!

Bidex has swirlprismatic symmetry. In fact, it divides into 8 rings of 6 teddies each. Therefore the edges of each teddi itself divide correspondingly into 2 classes in a chiral way!

As abstract polytope bidex is isomorph to birgax, thereby replacing pentagons by pentagrams, resp. replacing teddi by targi.


Incidence matrix


72 |   4  2 |  2  3  5 |  6
---+--------+----------+---
 2 | 144  * |  1  1  1 |  3  : bottom or top edges + 1 chiral edge each of the lateral {3} of teddi
 2 |   * 72 |  0  1  3 |  4  : other edges of teddi
---+--------+----------+---
 3 |   3  0 | 48  *  * |  2  : bottom or top {3} of teddi
 3 |   2  1 |  * 72  * |  2  : lateral {3} of teddi
 5 |   2  3 |  *  * 72 |  2
---+--------+----------+---
 9 |   9  6 |  2  3  3 | 48  : teddi

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