Five spheres in mutual contact (Q2718697)
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scientific article; zbMATH DE number 1596906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Five spheres in mutual contact |
scientific article; zbMATH DE number 1596906 |
Statements
13 May 2001
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inversive space
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orthogonality
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tangent spheres
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Euclidean 3-space
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Five spheres in mutual contact (English)
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Using an elegant approach through Inversive Geometry, the author shows that in Euclidean 3-space and for any 5 mutually tangent spheres, there are 15 spheres each passing through six of the ten points of mutual contact.
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