Start with five identical cubes:
- Cut and unwrap all five cubes into five identical cube nets.
- Show how to re-fold these five cube nets to form the surface of a single larger cube, with five times the surface area of one of the original cubes.
Rules and clarifications:
- The original five cubes must be the same size.
- The cube nets must be made by cutting the original cubes along their edges only.
- The five cube net shapes must be identical to each other. (Mirror images do not count as identical.)
- The five cube nets must cover the entire surface of the final cube, with no gaps and no overlaps.
- The edges of the cube net shapes do not need to line up with the edges of the final cube.
- I am aware of one solution, but I can't guarantee it's the only one. Any solution that meets the above requirements is valid.
This is a variation on my previous puzzle: Turn two cubes into one! This new puzzle is very similar to that one in terms of how the puzzle is worded, but the solution is quite different, and was (for me, at least) much harder to find. (Honestly, when I started exploring this one I was kind of expecting to make a puzzle where the challenge is: "Find a clever way to prove this thing is impossible".)