Acronym  bitdi 
Name 
chiral Weimholt hexahedron, bitrigonally diminished icosahedron, vertex figure of bidex 
©  
Circumradius  sqrt[(5+sqrt(5))/8] = 0.951057 
Vertex figures  ovo&#(v,x)t, of&#x 
Dual  selfdual 
Dihedral angles  
Confer 

A. Weimholt derived this selfdual hexahedron as the vertex figure of bidex in 2004, and reused it as the cells of tridex in 2005.
There is a vertex 4coloring of ike. Diminishing the vertices of a single color then derives teddi by chopping off 3 peppies. Diminishing the vertices of 2 such colors derives this selfdual hexahedron; peppies then already would intersect, this is where the fedges originate from. Diminishing 3 colors will result in the dual of teddi, and at all 4 colors results in the dual of ike, i.e. in doe.
Its faces are 4 (x,f,f)triangles (i.e. ox&#f) and 2 (x,x,x,f)trapezia (or xf&#x). It is a selfdual chiral polyhedron, in fact the dual is nothing but a rotated copy, i.e. dualization here even respects the handedness!
2 * *  1 1 1 1 0 0  2 1 1 verf = ovo&#(v,x)t * 2 *  0 1 1 0 1 0  1 1 1 verf = of&#x * * 2  0 0 0 1 1 1  0 1 2 verf = of&#x ++ 2 0 0  1 * * * * *  2 0 0 fedge 1 1 0  * 2 * * * *  1 1 0 fedges 1 1 0  * * 2 * * *  1 0 1 xedges 1 0 1  * * * 2 * *  0 1 1 fedges 0 1 1  * * * * 2 *  0 1 1 xedges 0 0 2  * * * * * 1  0 0 2 xedge ++ 2 1 0  1 1 1 0 0 0  2 * * ox&#f 1 1 1  0 1 0 1 1 0  * 2 * ox&#f 1 1 2  0 0 1 1 1 1  * * 2 xf&#x
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