Domain

Domain, aka Boomerang and Chameleon, is a 1982 game by Claude Duvernay, and published in several companies.

There are two sets of Tetris pieces. Here is the blue set:

And these are the rules:

Domain was reviewed by Sid Sackson at GAMES #37: 

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Poliminoes are a much-explored subject in Recreational Mathematics. A good book about the subject is 1965's Polyominoes: Puzzles, Patterns, Problems, and Packings by Solomon Golomb.

 

 

Poliminoes (especially trominoes, tetrominoes and pentominoes) appear in many abstract games. BGG lists more than 100 abstract games using poliminoes.

 

Probably the most successful one is Blokus,

 

which also provides a very nice material set to design and experiment with new tiling games.