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Incubator Q&A

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Comments on Construct a cube and a pyramid

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Construct a cube and a pyramid Question

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Consider the following L-shaped 3-dimensional object made up of three unit cubes joined at their faces:

3D version of an L-tromino


Puzzle 1. Use 9 of the above L-shaped pieces to make a cube.


Puzzle 2. Use 10 of the above L-shaped pieces to make the following “pyramid” shape:


Slanted pyramid.  Bottom layer is 4x4 unit cubes.  Layers above that are 3x3 unit cubes then a 2x2 layer and lastly, on top, a single unit cube

History

1 comment thread

Could potentially be two questions with links between (2 comments)
Could potentially be two questions with links between
trichoplax‭ wrote 5 months ago

The 2 puzzles are definitely closely linked, since they use the same L-shaped component, but I wonder if they would work well as a mini-series of puzzles, perhaps a question for Puzzle 1 and a question for Puzzle 2, which each link to the other?

It's your call (I don't think there's any rule either way), but I thought I'd mention it before any answers arrive. It might be easier to look through a list of answers that are all to the same puzzle.

I'm a little torn because I've been putting miniature versions of the main puzzles in some of my questions as examples (with hidden solutions provided). I don't think those are sufficient for stand-alone puzzles, but each of your puzzles in this question seem enough to support a question in their own right.

This post definitely has 2 different puzzles but I’d like to keep them together. If someone posts a solution to one of them but not the other, that’s fine by me.