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In geometry, an isohedron is a polyhedron with symmetries acting transitively on its faces. Their topology can be represented by a face configuration. All 5 Platonic solids and 13 Catalan solids are isohedra, as well as the infinite families of trapezohedra and bipyramids. Some forms allow geometic variations including concave and self-intersecting geometries

Convex isohedra make fair dice. An isohedron has an even number of faces.[1]

References

Grünbaum (1960)

Weisstein, Eric W., "Isohedron", MathWorld.
Branko Grünbaum On Polyhedra in E3 having all faces congruent. Bull. Research Council Israel 8F, 215-218, 1960.

External links

isohedra 25 classes of isohedra with a finite number of sides

Mathematics Encyclopedia

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