Pythagorean Tree

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Inprogress.png
Pythagorean Tree, in 2 Dimensions
Le pytho.jpg
Fields: Algebra and Fractals
Image Created By: Enri Kina and John Wallison

Pythagorean Tree, in 2 Dimensions

A Pythagorean Tree is a fractal that is created out of squares. The space between the squares in each iteration creates a right triangle. The top line of the square becomes the hypotenuse of the triangle above it.


Basic Description

Output ANIihE.gif

This animation shows how the angles of the triangle affect the shape of the tree.

A More Mathematical Explanation

Note: understanding of this explanation requires: *Basic Algebra

\frac{1}{x}

Pythagoreantree.png

\frac{1}{x} Pythagoreantree.png




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