Four Kepler-Poinsot Polyhedra

Theorem

There exist exactly four Kepler-Poinsot polyhedra:

$(1): \quad$ the small stellated dodecahedron

$(2): \quad$ the great stellated dodecahedron

$(3): \quad$ the great dodecahedron

$(4): \quad$ the great icosahedron.

Proof

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Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $9$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $9$