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Klassifikation konvexer Polyeder. (English) Zbl 0539.52010

This curious paper, written in apparent ignorance of the abundant recent literature on convex polytopes (in particular, the book of B. Grünbaum [Convex polytopes (1967; Zbl 0163.16603)]), re-solves the problem of enumerating the combinatorial types of \(n\)-polytopes with \(n+2\) vertices. The author’s criterion – that of being of the “same convex type”, meaning that the vertex sets of the polytopes have the same Radon partitions – is too fine for \(n\)-polytopes with more than \(n+2\) vertices.
Reviewer: P.McMullen

MSC:

52Bxx Polytopes and polyhedra

Citations:

Zbl 0163.16603
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