Pythagorean Tree

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This print was created for Math 401: Mathematics through 3D printing of Fall 2019 at George Mason University, taught by Professor Evelyn Sander. The Pythagorean Tree is an Iteration function that iterates upward vertically. Between each Square lies a right triangle with a 45-degree angle where the bottom square represents the Hypotenuse's length and the two squares above it represent the sides' lengths. Four iterations are displayed. To produce the first iteration, start with the original square and then scale by cos(45) and translate up by the original square's length. For the left square, rotate counterclockwise by 45 degrees, and for the right square, rotate clockwise by 45 degrees. Repeat this process for each new square to produce the next iteration. This function is considered a "tree" because of the image produced by this iteration. The original Square is the trunk, and the iterations are the branches and leaves.