I got this idea after seeing a parametric equation for a similar spirograph-type shape and decided to generalize the form.
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I have observed that c-b is what looks like the number of petals on the "flower" on the inside.
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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.
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Below is the exact parametric equation for the Sburb logo, without variables:
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Expresión 9: left parenthesis, 7cos "t" minus 17cos left parenthesis, StartFraction, 7 Over 17 , EndFraction "t" , right parenthesis , 7sin "t" minus 17sin left parenthesis, StartFraction, 7 Over 17 , EndFraction "t" , right parenthesis , right parenthesis7cost−17cos717t,7sint−17sin717t
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valor mínimo del dominio t:
less than or equal to "t" less than or equal to≤t≤
