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# Tag Archives: combinatorics

## 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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## Latin Squares, Squared Squares, and Legoed Squares

I introduced my kids to Latin Squares the other day. If you know Sudoku then you have seen examples of Latin squares. The idea is to fill in a grid of squares with colors or numbers or some other symbols, … Continue reading

Posted in geometry, math, polyominoes
Tagged combinatorics, graph paper, kids, latin squares, legos, squares
3 Comments

## How to Eat an Equilateral Cheeseburger

My friend Sean worked out an elegant and practical solution to the Cheeseburger problem of my previous post. I will try to summarize it here. There are fifteen toppings. To make things simpler we’ll represent them with the numbers one … Continue reading

Posted in math
Tagged cheeseburgers, clock arithmetic, combinatorics, math, modular arithmetic, triangles
3 Comments