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Nested Dodecahedra, Russian Dolls
by lgbu
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#####Nested Dodecahedra
Nested structures are everywhere in mathematics--recursive functions. Here is a sequence of 15 dodecahedron shells, ranging from 48mm to 6mm in terms of exterior edge length. You could choose any number from them and make a nested structure. It takes two halves to make a whole, of course. Each shell is 2mm thick; its edge length drops by 3mm. By the way, how does the volume of each dodecahedron change, as the side length goes down by 3mm?
Nested structures are everywhere in mathematics--recursive functions. Here is a sequence of 15 dodecahedron shells, ranging from 48mm to 6mm in terms of exterior edge length. You could choose any number from them and make a nested structure. It takes two halves to make a whole, of course. Each shell is 2mm thick; its edge length drops by 3mm. By the way, how does the volume of each dodecahedron change, as the side length goes down by 3mm?
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