The densest packing of 13 congruent circles in a circle (Q1403510)
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scientific article; zbMATH DE number 1973835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The densest packing of 13 congruent circles in a circle |
scientific article; zbMATH DE number 1973835 |
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The densest packing of 13 congruent circles in a circle (English)
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2 September 2003
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The author investigates the densest packings of 13 circles in a given circle. More precisely, he shows that the radius of the smallest circle in which 13 points with mutual distances at least 1 can be placed equals \(\frac {1+\sqrt 5} {2}\), and that these 13 points have to be arranged in precisely two possible configurations each of which has a certain type of symmetry. A suitable annulus and, more general, a method due to Bateman and Erdös are used.
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circle packing
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density
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optimal packing
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