Plane curves: astroid, cardioid and abstract plane curve

Plane curves: astroid, cardioid and abstract plane curve

What we do?

In this article we discuss how calculate the curvatures and moving frame.

• As an example we calculate the curvatures and moving frame of the following plane curves: astroid, cardioid and abstract plane curve.
• We assume that astroid is given as a parametric curve in the Cartesian coordinate system and the cardioid is given as a parametric curve in the polar coordinate system.
• For abstract plane curve we will do the calculations in both systems.

18 Tensor Calculus & Differential Geometry packages

18 Tensor Calculus & Differential Geometry packages

This is the most complete list of packages for modern differential geometry and tensor calculus.
To make it even easier for you to choose, I also added information about cost, version of computational software program and short description under every package!

If you know of other, similar packages, please add a comment to the bottom.