1. What do you see?

56. What did you see? To see it again, click here!
View the geometric explanation of the Wheel of Theodorus on the following slides.
To see it again, click here!

57. Start with an isosceles, right triangle... (or a 45-45-90 Δ)
The Wheel Of Theodorus, or Square Root Spiral, is a rather simple geometric construction based on the Pythagorean Theorem that allows you to construct line segments with length of the square root of any integer.
Start with an isosceles, right triangle...
(or a Δ)
Starting with a 1-1-root 2 right triangle, use the hypotenuse as one leg, and add a perpendicular segment of length 1 to create another right triangle.

61. Wheel of Theodorus Project
Now it is your turn!
Wheel of Theodorus Project
Do it again!