A convex polyhedron which is not equifacettable (Q2719865)
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scientific article; zbMATH DE number 1610386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A convex polyhedron which is not equifacettable |
scientific article; zbMATH DE number 1610386 |
Statements
19 November 2002
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triangle-faced polyhedra
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equifacettability
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0.8738082
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0.8444151
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0.8425671
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0.8412899
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A convex polyhedron which is not equifacettable (English)
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Recently \textit{J. Malkevitch} presented an example of a triangulated sphere which is not realizable by a convex 3-dimensional polyhedron all facets of which are congruent isosceles triangles [Geombinatorics 10, No. 3, 122-132 (2001; Zbl 0983.52007)]. The author generalizes this result by a simple example of a triangulated sphere which is not realizable by a polyhedron (not necessarily convex, but without selfintersections) all facets of which are congruent triangles.
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