Golden sections in regular hexagon (Q2874423)
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scientific article; zbMATH DE number 6252108
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Golden sections in regular hexagon |
scientific article; zbMATH DE number 6252108 |
Statements
30 January 2014
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golden ratio
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regular hexagon
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Golden sections in regular hexagon (English)
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Let \(ABCDEF\) be a regular hexagon, \(M\) a point on the segment \(BC\), and \(N\) a point in the interior of the hexagon such that the triangle \(AMN\) is equilateral. The author first proves that the area of the hexagon is 3 times the area of the triangle precisely when \(M\) divides \(BC\) in the golden ration. This property is used to identify 15 segments divided in the golden ratio by points naurally attached to this configuration.
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