Monday, November 14, 2022
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# geometry – Cover a single dice with FIVE similar dice nets

1. Cut and unwrap all 5 cubes into 5 similar dice nets.
2. Show how one can re-fold these 5 dice nets to type the floor of a single bigger dice, with 5 occasions the floor space of one of many authentic cubes.

Rules and clarifications:

• The authentic 5 cubes should be the identical dimension.
• The dice nets should be made by slicing the unique cubes alongside their edges solely.
• The 5 dice internet shapes should be similar to one another. (Mirror photographs don’t rely as similar.)
• The 5 dice nets should cowl the complete floor of the ultimate dice, with no gaps and no overlaps.
• The edges of the dice internet shapes don’t must line up with the perimeters of the ultimate dice.
• I’m conscious of 1 answer, however I am unable to assure it is the one one. Any answer that meets the above necessities is legitimate.

Note:

This is a variation on my earlier puzzle: Turn two cubes into one! This new puzzle is similar to that one by way of how the puzzle is worded, however the answer is sort of totally different, and was (for me, no less than) a lot tougher to search out. (Honestly, once I began exploring this one I used to be type of anticipating to make a puzzle the place the problem is: “Find a intelligent approach to show this factor is inconceivable”.)

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