Rössler attractor

This is by celaney as part of George Mason University Math 401: Mathematics Through 3D Printing class.

Math background:
The term chaotic refers to a system that is deterministic (can be predicted) but is greatly affected by it's initial conditions which may change the systems outcomes drastically in the long run. A chaotic attractor is when the system continues to come back to the same set of points even at very different starting values. The Rössler attractor is defined by the following equations:
dx/dt = -y - z
dy/dt = x + ay
dz/dt = b + z(x-c)
This print is of both the default parameters(a = 0.3, b 0.2, c= 5.7) for the Rössler attractor and new parameters (a = 0.35, b = 0.2, c = 5.7) for the taller version. When I increased a it is a similar shape to the original but increasingly chaotic.

Printing process:

I used mathematical and based my process after this article: https://www.ams.org/notices/202011/rnoti-p1692.pdf
Firstly, I defined the equations, parameters and initial c