Visual representation of the Frenet Trihedron for a parametric space curve. The beautiful thing that on wikipedia is known as Frenet and Serret formulas.
Creata a data.jl file in which put the curve definition, i.e.:
- n: number of points to plot
- t: interval of definition of the curve
- the three components of the curve
- the first and second derivatives of the components
where we think of the curve as written in hers parametric equations, so γ(t) = (f(t), g(t), h(t)).
While in the section Graphical parameters of the main file frenet.jl you have to experiment a bit, tuning the following variables, until you get a nice plot:
- molt: the coefficient to determine the magnitude of the vectors of the trihedron (as they should be versors, but to have a better visualization they need to be scaled according to the context dimension, ie morally the space occupied by the curve)
- limx, limy and limz the axes range for where put the plot (default values however are already provided)
- cam_height and cam_angle to set the camera placement (as maybe different views give better results)
γ(t) = (t*cos(t), t*sin(t), t)
γ(t) = (cos(t)^2, cos(t)*sin(t), sin(t))
γ(t) = (cos(t)+sin(2t), sin(t)+cos(3t), sin(t)*cos(t))
