Did you know?
Spirolateral art is graphing a series of numbers to make beautiful patterns.



  • Graph paper (internet search “free graph paper”)
  • Scrap paper
  • Pencil
  • Colored pencils

Directions: Find a sequence of numbers. One group of number sequences can be made using the multiplication tables.

Pick a number and on scrap paper, write out the multiplication sequence.

For example, the number 3.

The multiplication sequence is 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Make the sequence entirely of single digits, add together the double digits.

The 3 sequence would be: 3, 6, 9, 3, 4, 9, 3, 6, 9, 3.

Now graph the sequence: In the middle of your graph paper, draw a line 3 squares long. Make a 90 degree turn to the right, make a line 6 squares long, make a 90 degree turn to the right, make a line 9 squares long, make a 90 degree turn to the right and make a line 3 squares long.

Continue to the end of the sequence then repeat the sequence until you return to the starting point.

Use your colored pencils to color the various size rectangles.

Try a new spriolateral with a different sequence.


Use a protector and ruler instead of graph paper. Replace the 90 degree turn with a different angle. Pick a unit of distance instead of counting graph paper squares and measure out each digit of your sequence.

Based on a project found in Karyn Tripp’s Math Art and Drawing Games for Kids


This program has been designed for you to share with your child. Read the material together, ask questions and encourage your child to ask questions. Then nurture their curious mind by doing the activities with them. Books included are available via CPL’s digital library (with a library card).