Tromino
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This article is about the geometric shape. For the game similar to dominoes, see Triominoes.
A tromino (or triomino) is a polyomino of order 3, that is, a polygon in the plane made of three equal-sized squares connected edge-to-edge.[1] When rotations and reflections are not considered to be distinct shapes, there are only two different free trominoes: "I" and "L" (the "L" shape is also called "V").
Since both free trominoes have reflection symmetry, they are also the only two one-sided trominoes (trominoes with reflections considered distinct). When rotations are also considered distinct, there are six fixed trominoes: two I and four L shapes. They can be obtained by rotating the above forms by 90°, 180° and 270°.[2][3]
[edit] References
- ^ Golomb, Solomon W. (1994). Polyominoes (2nd ed.). Princeton, New Jersey: Princeton University Press. ISBN 0-691-02444-8.
- ^ Weisstein, Eric W. "Triomino". From MathWorld – A Wolfram Web Resource. http://mathworld.wolfram.com/Triomino.html. Retrieved 2009-12-05.
- ^ Redelmeier, D. Hugh (1981). "Counting polyominoes: yet another attack". Discrete Mathematics 36: 191–203. doi:10.1016/0012-365X(81)90237-5.
[edit] External links
- Golomb's inductive proof of a tromino theorem at cut-the-knot
- Tromino Puzzle at cut-the-knot
- Interactive Tromino Puzzle at Amherst College
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