Math Monday: Math-play with your food

Math-play with your food

By George Hart for the Museum of Mathematics

Making things with your food is an age-old pastime. Here are two mathematical constructions made from crackers.

This illustrates the Pythagorean Theorem for a 5-12-13 right triangle. The number of crackers in the two small squares (25+144) equals the number of crackers in the square on the hypotenuse (169).

With triangular crackers, this 3-4-5 right triangle illustrates a more general idea. The number of crackers in the two small triangles (9+16) equals the number of crackers in the large triangle (25).

Here is an introduction to the Pythagorean Theorem, with two simple proofs, and here is a detailed explanation of why this generalization works.

More:

• Math Monday: Mathematical art in the lava
• Math Monday: Balloon polyhedra
• Math Monday: Sierpinski tetrahedron
• Math Monday: Skewer hyperboloid
• Math Monday: Morton Bradley sculpture
• Math Monday: Tetraxis puzzle
• Math Monday: Giant burr puzzles
• Math Monday: Fractal polyhedra clusters
• Math Monday: Giant SOMA puzzle
• Math Monday: Tie your bagel in a knot!
• Math Monday: Playing card constructions
• Introducing “Math Monday”