5x12 pentomino tiling


A pentomino is a polyomino composed of five congruent squares, connected along their edges (which sometimes is said to be an orthogonal connection).

There are twelve different free pentominoes. Ordinarily, the pentomino obtained by reflection or rotation of a pentomino does not count as a different pentomino.

I discovered pentominoes as a nerdy kid, probably when I read one of Martin Gardner's books based on his "Mathematical Games" columns in "Scientific American". Many of them are still available and I recommend them to anyone who has a mathematical mind (or whose children have).

The logo at the top of each of my pages is one example of a 5x12 tiling of free pentominoes and the the strip at the bottom is repeated copies of a 3x20 tiling.

Pentominoes tiled in various ways

The logo and strip are derived from the above work by a Wikipedia contributor and are used under a Creative Commons licence. See here for the gory details.

Current status: (via Twitter)
Interesting Times

It's been one of those weeks. It started with us noticing that the central heating pump was running even when both hot water and central heating were off. So I phoned our tame plumber ... who was in Germany. But luckily he was about to fly home so he promised he'd pop around.  read more ...

More from the Wiblog ...

I am currently reading:

Shadow Man by Margaret Kirk Academia Waltz by Berkeley Breathed

Word of the Day: