Nested Dodecahedra, Russian Dolls

Nested Dodecahedra, Russian Dolls

thingiverse

#####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?

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