I'm sorry if the question isn't strictly related to maths but I really can't seem to find anything good and I don't where to ask.
Just to see some projective curves I thought to search for a Graphic Calculator programmed for projective planes. However I couldn't find anything and I'm stuck with some really bad simulations in Geogebra3D that also get usually stuck with curves with more branches.
Does there exist something like that?
On
Cinderella is a dynamic geometry software that has a projective approach. It looks like many others programs for euclidean geometry but internally it works with homogeneous coordinates in the projective plane, and even has a spherical view to include the line at infinity.
My try.
Since geogebra can't really intersect, you can only sort of see the cusp of intersecting $z=x^3/y^2$ with the unit sphere. Also, similarly, solving the quadratic in $z$ and allowing both signs, you get the curve $y^2z-(x^3-xz^2)=0.$
These tricks only work for low degree...
Another idea would be to be able to move the line at infinity. This has the advantage of being useful for a general homogenous equation in $x,y,z,$ just change the definition of
h(x,y,z). (Maybe the moving infinity line in ${\Bbb P}^2$ (plane in ${\Bbb R}^3$) should be given differently in the above implementation?)Take III.