MacMahon Squares

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/macmahon-squares

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the mathematical domain?Combinatorics, recreational mathematics, and constraint satisfaction problems
2. What is the inventor's affiliation?Fellow of the Royal Society, a prestigious British scientific academy
3. How do you solve a MacMahon Square puzzle?To solve it, you try placing each small square in the grid, rotating it if needed, and check that the colors on adjacent edges are the same. If a placement doesn't work, you backtrack and try a different square.
4. Why are MacMahon Squares useful for learning?They are great for learning because they teach counting, pattern recognition, and how to think step by step. They also show how computers solve similar problems using special rules.

Constraint Satisfaction Problem (CSP): A type of problem where variables must be assigned values that satisfy a set of constraints.
Backtracking Algorithm: A general algorithm for finding solutions by incrementally building candidates and abandoning them if they cannot be completed.
Combinatorial Explosion: The rapid increase in the number of possibilities as the size of a problem grows.