Web Reference: Jul 15, 2025 · Pre-requisites: Turtle Programming in Python. A spirograph is a very interesting geometrical figure which is often symmetrical to both the axes. It produces mathematical roulette curves of the variety technically known as hypotrochoids and epitrochoids. Think about how you would draw the shape if you were the turtle, crawling on a large floor, dragging a paintbrush from your butt. At each small fragment of time, the turtle will perform one small iteration of a differential equation which governs the whole behavior. Feb 16, 2018 · Find out the properties of an Epicycloid (https://en.wikipedia.org/wiki/Epitrochoid) and adapt the Python code (see below) to create your own Epitrochoid curves.
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