Snake Cube Puzzle Large 4x4 or Small 3x3

A while ago I saw a snake puzzle which was basically a chain of square wooden blocks, which when twisted and bent correctly, resulted in a perfect 3x3x3 cube.

I decided to research and create the next level up, which is a 4x4x4 cube from a 64 block snake !

This Thing needs to be printed twice, ideally in opposing colours. then assembling with a long string or better still is elastic cord.

**UPDATE:** I've just realised that printing this thing ONCE gives you the right number of cubes t