Ganzzahlige planare Darstellungen der platonischen Körper. (Integral planar representations of the platonic polyhedra) (Q913828)

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scientific article; zbMATH DE number 4148149
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English
Ganzzahlige planare Darstellungen der platonischen Körper. (Integral planar representations of the platonic polyhedra)
scientific article; zbMATH DE number 4148149

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    Ganzzahlige planare Darstellungen der platonischen Körper. (Integral planar representations of the platonic polyhedra) (English)
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    1987
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    The paper deals with the planar projection graphs with integral edge lengths of the five platonic polyhedra. The minimum length \(d_ i\) of the longest edge of each of these graphs is determined (i denotes the number of faces of the polyhedron): \(d_ 4=17\), \(d_ 6=2\), \(d_ 8=13\), \(d_{12}=2\), and \(d_{20}=159\).
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    planar projection graphs
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    integral edge lengths
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    five platonic polyhedra
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