I myself don't really get the equation driven curve, math gives me the shivers...

But it seems like equation driven curves can do some really cool things.

Does anybody have cool equations to share? Either practical, mesmerising to look at, or just plain fun

This is my work horse: (x^2/

R)/(1+(1-(1+(K))*(x/R)^2)^.5)It is a formula for a Rho variable driven conic curve. X determines the start and end points; K is the Rho variable where 0 = circle, 0 > K > -1 = ellipse, -1 = parabolic, and K < -1 is hyperbolic; R is the radius of curvature. The formula gives me the freedom to change the curve type without deleting the sketch plus it adds hyperbolics. The new formula driven sketch tool allows the curve to be constrained to construction lines in the sketch instead of having to manipilate the position in the interface. I like the change.

I use this often for aspheric surfaces where optical accuracy is not required or for a construction sketch to rough in an idea.