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Hemipolyhedra and their duals

There exist 9 nonconvex uniform polyhedra whose name includes “hemi”.  They are called hemipolyhedra. The duals of these hemipolyhedra share a unique feature, i.e. they are represented by a compound of prisms interpenetrating the center of symmetry.  The great dirhombicosidodecahedron also is a hemipolyhedron.  Its name does not include ”hemi” for the reason that it is one of the nonconvex snub polyhedra.  A mathematical paper concerning such hemipolyhedra and their duals is currently carried in IJMSI (International Journal of Mathematics and Statistics Invention). Click here IJMSI , and click the title of the paper “Hemipolyhedra and their Duals” and further click “Download Full Article”.   Then, you will find my paper.  While it is quite brief with only 5 pages, it is highly colorful.  I trust you will enjoy it.

Contribution date:2025/05/02　|　Category:Geometry based on Silver Ratio and Golden Ratio