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April 22, 2008

Nimrod Lehavi’s Kinnernet 2008 Project: Pentomino

According to Wikipedia, a pentomino is “a polyomino composed of five (Greek πέντε / pente) congruent squares, connected orthogonally.

There are twelve different pentominoes, and they are named after the letters of the Latin alphabet that they resemble. Ordinarily, the reflection symmetry and rotation symmetry of a pentomino does not count as a different pentomino.

F, L, N, P, Y, and Z pentominoes are chiral in two dimensions; adding their reflections (F', J, N', Q, Y', S) brings the number of "one-sided" pentominoes to 18. The others, lettered I, T, U, V, W, and X, are equivalent to some rotation of their mirror images. This matters in some computer games, where mirror image moves are not allowed, such as Tetris-clones and Rampart.

Each of the twelve pentominoes can be tiled to fill the plane. In addition, each chiral pentomino can be tiled without using its reflection.”

For Kinnernet 2008 my friend Nimrod Lehavi decided to build a 3D Pentomino using recycled floppy disks. The night before Kinnernet 2008 started I caught up with Nimord as he and Jonathan Sherman were working on the Pentomino.

Below are pictures of the construction of Nimrod’s Pentomino including his presentation of the Pentomino at Kinnernet 2008.


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Posted by jeff on April 22, 2008 09:17 AM | Permalink

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