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→The golden ratio in nature and art
==The golden ratio in nature and art==
==The golden ratio in nature and art==
The golden ratio appears in innumerable places in nature and art. The [[golden ratio in the solar system|periods of the plants]] are all related by the golden ratio. The proportions of the bodies of many animals, including humans, dolphins, and ants are all based on the golden ratio. The [[Parthenon]], [[Egyptian Pyramids]], [[The Last Supper]], and even the common credit card are all based on the golden ratio.
The golden ratio appears in innumerable places in nature and art. The [[golden ratio in the solar system|periods of the plants]] are all related by the golden ratio. The proportions of the bodies of many animals, including humans, dolphins, and ants are all based on the golden ratio. The [[Parthenon]], [[Egyptian Pyramids]], [[The Last Supper]], [[Ark of the Covenant]], [[Noah's ark]], and even the common credit card are all based on the golden ratio.
A dodecahedron, a solid in which each side is a pentagon, is related to the Golden Ratio in that both the surface area and the volume of a dodecahedron of unit edge length are functions of the Golden Ratio. Plato described the dodecahedron as the solid ''which the gods used for embroidering the constellation on the whole heaven.''
A dodecahedron, a solid in which each side is a pentagon, is related to the Golden Ratio in that both the surface area and the volume of a dodecahedron of unit edge length are functions of the Golden Ratio. Plato described the dodecahedron as the solid ''which the gods used for embroidering the constellation on the whole heaven.''