Strombic_Icositetrahedron.png


Summary

Description
English: A top-rotated variant of the deltoidal icositetrahedron. Unlike the Catalan solid, this top-rotated variant only has D4 square symmetry times a C2 cycle. There are two orbits of deltoids, and hence it is a 2-spherical uniform tiling. Faces are colored in cyan, pink priority. Degree 3 vertices are colored yellow and are transitive; degree 4 square vertices are colored light red; and degree 4 rectangular vertices are colored dark red; and equatorial trapezoidal vertices are colored in red. This is conjectured to be the 14th Catalan solid, but usually not considered as such. Hard-coded in Asymptote (LaTeX) . Compare to a polyhedron generator which does not show correct symmetry orbits and is not translucent .
Date
Source Own work
Author Harry Princeton

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12 August 2019