Polar facetodistetracontoctachoron

Polar facetodistetracontoctachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Lifdic
Elements
Cells	48 quith, 48 querco
Faces	384 triangles, 432 squares, 144 octagrams
Edges	576
Vertices	144
Edge figure	quith 8/3 quith 8/3 quith 3 querco 4 querco 4 querco 4 querco 3
Measures (edge length 1)
Circumradius	${\sqrt {2-{\sqrt {2}}}}\approx 0.76537$
Related polytopes
Army	Spic
Regiment	Giddic
Conjugate	Offadac
Abstract & topological properties
Euler characteristic	432
Orientable	No
Properties
Symmetry	F4×2, order 2304
Convex	No
Nature	Wild

The polar facetodistetracontoctachoron, or lifdic, is a nonconvex uniform polychoron that consists of 48 quasitruncated hexahedra and 48 quasirhombicuboctahedra. Eight quasitruncated hexahedra and eight quasirhombicuboctahedra join at each vertex.

It also has doubly-covered tetrahemihexahedra as pseudofacets.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.

External links

• Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#538).