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Note: You need to buy all 8 colors to build your own puzzle
This puzzle represents the 2x2x2x2 corners of a 4D Rubik's Cube analog in a 3D embedding. It is not a simple projection into in 3D. Instead it consists of the 16 4-colored corner pieces pressed into cubes that are connected via magnets in a topology that correctly implements the 4D puzzle. All 90 degree twists of two of the 8 hyperfaces are directly available, and all the others can be reached with gyro move.
One chain in each of the 8 available colors. Each chain contains 10 hyperstickers. You need 8 for each face and will have 2 spares.
Wash your hands, break the pieces from the chains, arrange them with the corners up, and apply 1-to-3 coats of enamel like this. Fewer coats give a satin feel, more coats are shinier but movement is stickier.
Insert 6 magnets into each piece according to this polarity map. I recommend using needle-nose pliers with masking tape around one tip to protect the outside. Attach a magnet to the other tip, position over the hole like this and squeze gently. Take it slow and be very careful about polarity because you can't really fix any mistakes in this step.
Snap together 16 colored cubes according to the color scheme in the main photo.