NB! It may be dangerous to the health of your system to come into contact with a wormhole - this has crashed multiple machines. Fly safe!
This generates donut-shaped wormholes on the GPU! I'm not sure
the geometry is right though - the visual discontinuities are suspicious.
You can try it yourself by cloning the repo and running cargo run in the
repo directory. Clicking on the window captures the cursor for camera control,
clicking again releases the cursor. w,a,s,d,q,e keys (as laid out on
a standard QWERTY keyboard) also allow controlling the camera.
The wormholes drawn here are not based on GR, instead an arbitrarily chosen metric interpolation of annular patches of flat space. (More precisely, we interpolate the inverse metrics, which lets us use a Hamiltonian formulation for the geodesic equation and not have to compute any Christoffel symbols.)
Currently, the core raytracing method uses RK4. Probably something better is available here. I have been advised that a Nyström method adapted from implicit Verlet integration works well in this setting, and https://arxiv.org/abs/1609.02212 is also worth a look.
No symmetries were harmed used in the making of these images.