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Curve from equation consultation help

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Greetings,

 

I've been trying to turn the following into a functional epicycloidal curve from equations but have hit a wall:

Untitled.jpg

I've  reduced it to the following after trying it in its original format but  it still blows up at zero, rotates the epicycloid CCW 5° or so and  generally isn't the correct curve. This request for help may be beyond  the scope of this forum in which case I'd be willing to talk consulting  terms. Thank you.

 

A = 90

B = 12

C = 11

D = 3

 

x = A*cos(t*360) - B*cos((t*360) + atan ((sin(1-C)*(t*360)) /  (A/(D*C) - cos(1-C)*(t*360)))) - D*cos(C*(t*360))

 

y = -A*sin(t*360) + B*sin((t*360) + atan ((sin(1-C)*(t*360)) / (A/(D*C) - cos(1-C)*(t*360)))) + D*sin(C*(t*360))


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