Interrupt your regular math programming to try this fantastic math doodling investigation!

Anna Weltman **wrote a math/art book**. It’s great fun for all ages, full of fantastic mathematical explorations — including spirolateral math doodles.

### How to Get Started

To make a spirolateral, you first pick a short series of numbers (1, 2, 3 is a traditional first set) and an angle (90° for beginners). On graph paper, draw a straight line the length of your first number. Turn through your chosen angle, and draw the next line. Repeat turning and drawing lines, and when you get to the end of your number series, start again at the first number.

- Download and print Anna’s Loop-de-Loop Lesson
**Instruction Page**and**Student Work Page**. - Share with your kids.
- Print some
**extra graph paper**for continued play. - Check out
**Anna’s blog post**for more ideas. - Explore what happens when you make spirolaterals on
**triangle graph paper**, too.

Some spirolaterals come back around to the beginning, making a closed loop. Others never close, spiraling out into infinity—or at least, to the edge of your graph paper.

### For Further Reading

- Mike Lawler and sons explore Loop-de-Loops:
**Part 1**, and**Part 2**. - Martin Gardner, “Worm Paths” in
**Knotted Doughnuts and Other Mathematical Entertainments**.

Articles by Robert J. Krawczyk:

Anna Weltman appeared on *Let’s Play Math* blog once before, with **the game Snugglenumber**. And she’s a regular contributor to the wonderful **Math Munch blog**.