Classification of Convex Polyhedra whose Faces are Regular Polygons/Historical Note
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Historical Note on Classification of Convex Polyhedra whose Faces are Regular Polygons
The final step of this result was demonstrated by Norman Woodason Johnson, who first enumerated what are now known as the Johnson polyhedra in $1966$.
He conjectured, but did not prove, that there were no more than $92$ of them.
In $1969$ Victor Abramovich Zalgaller proved that Johnson's list was complete.
Sources
- 1966: Norman W. Johnson: Convex polyhedra with regular faces (Canad. J. Math. Vol. 18: pp. 169 – 200)
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $13$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $13$