Does convexity matter?

Geometry Level 3

Are the five Platonic solids above the only regular polyhedra ?


Image credit: http://moodle.tbaisd.org/
Yes No No one knows

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1 solution

Geoff Pilling
Dec 27, 2016

The Platonic solids are the only convex regular polyhedra.

However, there are four non-convex regular polyhedra, known collectively as the Kepler-Poinsot (or "star") Polyhedra:

Therefore, although its a common mis-conception, n o \boxed{no} the Platonic solids aren't the only regular polyhedra.


Image credit: http://moodle.tbaisd.org/

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