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Updated readme with fixed image

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A.M. Rowsell 2022-09-27 15:36:16 -04:00
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README.md
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Spirographs!
![Screenshot of v1](https://frozendev.tk/~amr/images/spirographs_v1.png)
![Screenshot of software](https://frozendev.tk/~amr/images/spirographspy.png)
Everyone who grew up playing with this toy remembers it fondly. Very cool shapes and patterns. Recently, I was wondering if there was a mathematical formula describing the shapes created by Spriographs, and of course there is!
They're actually quite simple. The shapes are called [hypotrochoids](https://en.wikipedia.org/wiki/Hypotrochoid) and [epitrochoids](https://en.wikipedia.org/wiki/Epitrochoid). To calculate each point, you simple use the following parametrized equations, plugging in 0 to 2π for θ:
They're actually quite simple. The shapes are called [hypotrochoids](https://en.wikipedia.org/wiki/Hypotrochoid) and [epitrochoids](https://en.wikipedia.org/wiki/Epitrochoid). To calculate each point, you simple use the following parametrized equations, plugging in 0 to 2π for θ:
![](https://frozendev.tk/~amr/images/hypotrochoid.png)
![](https://frozendev.tk/~amr/images/hypotrochoid.png)
![](https://frozendev.tk/~amr/images/epitrochoid.png)