Larger image of: Hexacube


Photo by Elijah Allen

An awesome assemblage of 166 different hexacube shapes plus 4 unit cubes. Notice the felt-lined fold-out hinged box it's resting on? That's the shape of one of the planar hexacubes. When you order, you can specify which of the 11 possible box dissections you would like yours to have. Translation:  there are 11 ways to fold open a cube so that all six of its faces are still connected (shown in the diagram below). That's where we put the hinges. When folded around the cube, the last panel gets three padlocks on the ornamental hasps to hold the whole thing securely closed, looking for all the world like a treasure chest. It's the coolest.


The eleven ways to cut open and flatten a cube so its sides are still joined




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