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# Tag Archives: polyominoes

## Abby’s Puzzles

My ten-year-old daughter asked me for help doing a mathematical STEM-fair project. We had a lot of funny doing the project together. Here is a brief description of what we did. We decided on the following question: “How many decominoes … Continue reading

Posted in computers
Tagged elementary education, kids, math, mathematics, pentominoes, polyominoes, programming, puzzles, Python, recreational math, STEM, STEM fair, tiling
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## Shutdown Puzzle 9

No sign of an end to the puzzles.

## Shutdown Puzzle 8

We’re in the 9th day of the US Federal Government shutdown. The puzzles go on!

## Shutdown Puzzle 7

US Government Shutdown day 8. Try an easy puzzle.

## A Case of Accidental Symmetry

The other day I was thinking about putting dominoes onto a 4-by-4 grid without any of the dominoes contacting each others’ sides. I wanted to know how many dominoes you could fit onto the 4-by-4 grid in this way, and … Continue reading

Posted in polyominoes
Tagged algorithms, binomial coefficients, combinatorics, domino, dominoes, grids, math, mathematics, maths, polyominoes, Python, rec math, recreational math, recreational mathematics, symmetry
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## Rep-tiles

It’s been a while since I’ve done an evening of math with my two older kids (6 years and 8 years), so this week I decided I would teach them about rep-tiles. (If you don’t know what rep-tiles are, don’t … Continue reading

## Proof of radlam Classification

Enough talk, let’s do some math. Sketch of proof of the classification theorem given in The Graph Type of a Polyomino. (I defined radlams in the post Raldams.): First we need some lemmas on how radlams decompose. Lemma 1 (the … Continue reading

Posted in polyominoes
Tagged graph theory, graphs, polyomino decompositions, polyominoes, radlams
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