A polyhedral model in Euclidean 3-space of the six-pentagon map of the projective plane (Q958237)
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scientific article; zbMATH DE number 5377160
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A polyhedral model in Euclidean 3-space of the six-pentagon map of the projective plane |
scientific article; zbMATH DE number 5377160 |
Statements
A polyhedral model in Euclidean 3-space of the six-pentagon map of the projective plane (English)
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2 December 2008
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The author gives a nice and short constructive proof of the following Theorem: The family of six pentagons, that is a model of the projective plane arising by identifying antipodal points of the regular dodecahedron, can be realized as a polyhedron in Euclidean 3-space such that five of the six faces are simple planar pentagons and the sixth has a single self-intersection. That answers a question by B. Grünbaum.
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model of the real projective plane
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polyhedron
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Möbius strip
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