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polyssimo

We found this Tetris-reminiscent puzzle game by Alain Brobecker. The goal is to tile a 7-by-7 square using wooden pieces, starting from a given configuration. Here's an example:

Solution to challenge 21

We solved most of the puzzles, except for puzzle number 30, shown below, which proved somewhat stubborn:

Challenge 30

To save my dignity (at least to some extent), I wrote a mixed-integer linear program to find possible tilings.

Solution to challenge 30

This is a simple instance of a covering problem. (See also Golomb 1994, 81--83.)

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One script to tile them all

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