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Pretty Tiles / almost 2 years ago
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I’m not sure if I should be embarrassed or not, but I think these things are cute:
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:::Comments:::
Is there a single rectilinear 3D shape that, given a rectangular box of an appropriate size and as many of the shapes as necessary can fill that box completely? It's a 3D version of your tiler that I want.
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(reply to this comment)
If I interpret your statement correctly (that you're just wondering if there are any 3D polyominoes that can tile a large rectangular box), the answer would be almost certainly yes. Most of the 2D polyominoes can do this. Writing a program like that doesn't seem very interesting to me in an interactive way, because it would be a lot harder to see what's going on. If you're seriously interested in it anyhow, I wrote the code for the polyomino tiler quite generally, and it would only take a few tweaks to adapt it to a 3D grid. If you wanted a GUI as well, that would be an issue, since it's all in JavaScript.
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(reply to this comment)
I will attempt small examples in Sketch Up. Thanks for the reply.
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(reply to this comment)