Validating Kepler's conjecture: A new approach (Q1569191)
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scientific article; zbMATH DE number 1464529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Validating Kepler's conjecture: A new approach |
scientific article; zbMATH DE number 1464529 |
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Validating Kepler's conjecture: A new approach (English)
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25 June 2000
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The author discusses Kepler's statement that the density of a packing of congruent balls in 3-space cannot exceed \(\pi/(18)^{1/2}\). In his way of argumentation he refers to prismatic and antiprismatic forms related to semiregular polyhedra, using them as bases for ball packings as it is usual.
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sphere packing
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packing density
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Catalan solids
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Archimedean solids
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prisms
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antiprisms
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semiregular polyhedra
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