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 $\theta$ as the parameter in a range from $0$ to $2\pi$ .

Values $a,b,c,d$ and $e$ all range from $0$ to $1$ . In the below image these values were simply randomized:

Note each of the above plots is actually the result of $4$ randomly generated plots on top of one another and increasingly offset on the $y$ axis (slightly).

## Interactive Version

Click the below plot - values $a$ through $e$ 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
$4$
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:

## Quick Background

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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