File:Academ Golden ratio and unfolded faces of Platonic dodecahedron.svg
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![File:Academ Golden ratio and unfolded faces of Platonic dodecahedron.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Academ_Golden_ratio_and_unfolded_faces_of_Platonic_dodecahedron.svg/700px-Academ_Golden_ratio_and_unfolded_faces_of_Platonic_dodecahedron.svg.png?20120326083559)
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[edit]DescriptionAcadem Golden ratio and unfolded faces of Platonic dodecahedron.svg |
English: The same partial net of Platonic dodecahedron is visible in this top view, with vertex L. Here is a geometric sequence of five lengths with common ratio φ, the golden ratio. The first term of the sequence is denoted by b, it is the difference between the diagonal length and the side length of a face of the Platonic solid. The fifth term equals (3 φ + 2) b. The right bottom image shows a geometric progression of five areas with common ratio φ, that begins with the area of the green triangle. The fifth area is the total area of the four triangles in green, pink and blue, that form "a golden triangle" similar to the green or blue one. |
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Source | Own work |
Author | Baelde |
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[edit]Arthur Baelde, the copyright holder of this work, hereby publishes it under the following licenses:
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current | 08:35, 26 March 2012 | ![]() | 945 × 810 (4 KB) | Baelde (talk | contribs) | {{Information |Description ={{en|1=The same partial net of Platonic dodecahedron is visible in this top view, with vertex ''L. '' Here is a geometr... |
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