I got this idea after seeing a parametric equation for a similar spirograph-type shape and decided to generalize the form.
5
I have observed that c-b is what looks like the number of petals on the "flower" on the inside.
6
The upper limit of t needed to draw the plane curve once, assuming its interval starts at 0, is 2πc. In this case, 34π. Any higher and it will simply trace over it again.
7
Below is the exact parametric equation for the Sburb logo, without variables:
8
0
less than or equal to "t" less than or equal to
9
10
11
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