Four icosahedra can meet at a point (Q1106477)
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scientific article; zbMATH DE number 4062057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Four icosahedra can meet at a point |
scientific article; zbMATH DE number 4062057 |
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Four icosahedra can meet at a point (English)
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1988
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Let \(N_{pq}\) denote the maximal number of congruent copies of a Platonic solid of type \(\{\) p,q\(\}\) which can share a common vertex but are otherwise disjoint. Obviously, for the cube one has \(N_{43}=8\), and in this paper it is proved that \(N_{35}=N_{53}=4\). Additionally, it is conjectured that \(N_{33}=20\) and, with less conviction, that \(N_{34}=7\).
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Platonic solids
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packing
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arrangements of spherical polygons
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