There are twelve distinct ways to glue together five squares along their edges to form a single shape. These shapes are collectively known as the Pentominoes. The Pentominoes are a challenging packing puzzle --- usually, one is asked to pack them into a 6 by 10 rectangle. But they can also pack a 3 by 20 rectangle. I have taken that packing and wrapped it into a cylinder to make a ring. The perfect accessory for combinatorial geometers!

Dimensions

IN: 0.873 w x 0.354 d x 0.874 h
CM: 2.218 w x 0.9 d x 2.22 h

Comments

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Interesting idea, @nfearnley. It wouldn't be quite the same, because the tetronimoes don't exactly cover a rectangle. Whatever you did, you'd probably end up with a ring that's got "notches" cut out of it. But perhaps a ring that looks like the bottom of a Tetris pit would be cool.
November 27, 2013, 7:59 pm
Would it be possible to make a similar Tetromino ring?
November 26, 2013, 6:23 pm
 
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