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This is the Switch Box puzzle, a traditional Rubik's Cube with an added challenge: red switches bandage the puzzle. You have to carefully move them around during the solve so you can do the moves you need to do.
There are many different variations possible on the Switch Box. It is possible to choose how many edges should have a slider, and you have various corner types to pick from (there are corners with 0, 1, 2 or 3 slots for sliders to fit in to). This particular variant has 6 edges with sliders and all corners have 3 slots. I am offering various variants through my shop, but you can also email me to request a specific variant that is not offered.
You can also purchase the original Switch Box variant which is more constrained here.
If you order this model, you will get a DIY kit of the plastic parts needed to make this puzzle. You will need to supply your own screws (M3), stickers and springs for assembly.
You can also order an assembled copy of this puzzle from me directly, but this option is more expensive and it will take longer to get your puzzle.
Shapeways has recently changed their pricing making this model much more expensive. I've not yet had the time to optimize this model to be as cheap as posible. Please contact me at email@example.com if you are interested in obtaining this puzzle so we can discuss cheaper options.