WOLFRAM|DEMONSTRATIONS PROJECT

Dissection of Two Squares into Three Squares

step 1

step 2

step 3

step 4

This Demonstration dissects two squares into three squares, two of which are congruent. This dissection is based on the formula

2

(1+2ϕ)

+4=1+2

2

(2ϕ)

, where

ϕ=

1+

5

2

is the golden ratio.