Nested Dodecahedra, Russian Dolls

thingiverse

Nested Dodecahedra Mathematics is full of nested structures and recursive functions everywhere. A sequence of 15 dodecahedron shells showcases this phenomenon - their exterior edge lengths range from 48mm to a mere 6mm. You can choose any number in the sequence and create a unique nested structure. To achieve this, it's essential to understand that two halves make a whole, after all. Each shell is precisely 2mm thick, with its edge length decreasing by 3mm as you move from one to the next. Now, let's dive into how the volume of each dodecahedron changes when its side length drops by 3mm.