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hypotrochoids

    Hypotrochoids are curves created when one circle is rolled around inside the circumference of another. The popular 'spirograph' toy draws hypotrochoids. With code, curves with increasingly strange parameters can be produced.

    Epicycloids

    Pictured are multiple layers of epicycloid, each adding a new shape to trace around the previous. 


    As the number of layers increases, the curve becomes more chaotic.

    1/6

    Traditionally, Epicycloids are curves formed by plotting the path of two circles, one of which travels around the other's circumference. By picking one point on the outer shape to follow, a curve is plotted.

    NOISE

      Random data is also called noise. Code utilizing noise as an input can create organic, flowing shapes.

      Mathematics, animated

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