Search for a Perfect Unequal Trapezohedron with Similar Faces

Year: 2019 Authors: Chirag Mehta

Core claim

A perfect unequal n-trapezohedron with similar faces does not appear to exist except for n = 3, where the only found solution has concave upper kites.

Topics

trapezohedrons, similarity conditions, graphical solving, space-filling modules

Domains

polyhedral geometry, algebraic equations, trigonometric relations, coordinate solving, geometric design, jewelry objects, architectural space frames, product packaging

Methods

derivation of equations, Pythagorean geometry, graphical intersection analysis, case analysis

Media

kite faces, dart-shaped faces, polyhedral models, WolframAlpha plots

Source status

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