Hello all,

I am trying to create a epitrochoidal curve in an attempt to recreate Liquid Piston's X-engine. I figured I could use the equation driven curve and it would create it for me but I am getting errors on intersecting lines causing issues. 

Here are the equations I have created for a 10hp version;

• For X: x(t) = 8.812 * cos(t) - 2.758 * cos(4 * t)
• For Y: y(t) = 8.812 * sin(t) - 2.758 * sin(4 * t)

Or without my numbers plugged in or any simplification;

• For X: x(t) = ("R" +("R"/3) * cos(t) - "e" * cos(4 * t)
• For Y: y(t) = ("R" +("R"/3) * sin(t) - "e" * sin(4 * t)

Since it is such an odd shape I am not trying to look into manually drawing it but might have to if its a last resort. I also tried creating a .txt file and plugging in values that way and same issue. 

Is there another way to plot this and upload it or make the equation work? Any ideas or help is appreciated.

Thanks!

Evan G