If n is an integer then the curve is closed and has n + 1 vertices (ie sharp corners where the curve is not differentiable). n=2— deltoid - 3 sharp corners n=3— astroid - 4 sharp corners n=4 -- 5 sharp corners ..................................... Many thanks to MonkeyBean2
Many thanks to MonkeyBean2 Group hipocycloid curve parametric equations described: x = r * (n*cos t + cos(n*t)) y = r *(n*sin t - sin(n*t)) If n is an integer then the curve is closed and has n + 1 vertices (ie sharp corners where the curve is not differentiable).