The following short article will discuss the Insectoid Curve - a parametric curve inspired by the Scarabaeus and Cornoid. I created this back in 2016 for fun.
The curve itself is a weighted average of variations on both the Cornoid and the Scarabaeus. The equation is parametric, with as the parameter in a range from to .
Values and all range from to . In the below image these values were simply randomized:
Note each of the above plots is actually the result of randomly generated plots on top of one another and increasingly offset on the axis (slightly).
Click the below plot - values through will be randomized.
The code here is a bit strange, something I speedcoded to quickly create responsive shapes/plots. I may revisit it some day, but for now it remains a bit of an esolang api.
Again, this is plots on top of one another. To render this plot with a single layer hold your shift key and click.
The Scarabaeus and Cornoid
The original equation for the Scarabaeus curve in polar coordinates is:
...and the Cornoid in parametric form:
The original impetus for the creation of the Insectoid Curve was to create a curve that had features similar to an insect - specifically a beetle. After combining the Cornoid and Scarabaeus the result you see here is the result.
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