This little SAGE/Python script takes input like this:
P=implicit_plot3d(x**2-y**4*z**3==0,(x,-2,2), (y,-2,2),(z,-2,2), plot_points=75)
P.triangulate()
Picture(P.face_list(), boxed=True, axes=False,).render()
and returns a standalone Latex+tikz file, which when compiled (takes a couple of minutes) produces a 3d graphics.
The script reads standard input (so you can call it from the editor) or a file (when used with --file command line option) and writes to standard output.
The example below was produced saving the above code as test.py, and running
./texrender3d --file test.py > result.tex
lualatex result.tex # takes a couple of minutes
See result.pdf for the full resolution (prettier) output.
Python:
P=implicit_plot3d( x**3+y**2-z**2 ==0,(x,-2,2), (y,-2,2),(z,-2,2), plot_points=100)
P.triangulate()
Picture(P.face_list(), boxed=False, axes=True,
nodes=[{"Position": (0,0,0), "Text": "" , "Options": "circle, inner sep=4pt,black!80, pin={[pin edge={black!80, semithick}]-120:Singular point}, draw"}]
).render()
Result:
Python:
a=1
P=parametric_plot3d([a*sech(u)*cos(v), a*sech(u)*sin(v),a*(u-tanh(u))],(u,-3.5,3.5), (v,0,2*pi), plot_points=80)
P.triangulate()
Picture(P.face_list(), boxed=False, axes=False,
nodes=[{"Position": (0,0,2.501), "Text": "$\\uparrow$\\rlap{ to infinity}", "Options": "anchor=south"},
{"Position": (0,0,-2.501), "Text": "$\\downarrow$\\rlap{ to infinity}", "Options": "anchor=north"},
]
).render()
Result:
See the Examples folder.
MIT.