itch.io

Here is a video with the Duocylinder, wormhole, and a few other manifolds.  The womhole between parallel planes is actually what I did in the previous video.  Also, I think the closest I can get to the Klein bottle right now however is the Mobius strip in the previous video since the Klein bottle has a 2D surface despite requiring 4 dimensions to embed.  To show it off with a 3D surface I think you would need 5?

So far I've implemented a basic 3D map as shown in the video.  Finding a way to create 2D (assumably top-down) maps of arbitrary 3D surfaces might be a bit tricky, but it's definitely worth trying.  Maybe if I can get that to work I can give the player the option to switch maps like in Hyperbolica.

Once I work on the menus and settings I'll allow the player to toggle gravity and free cam.

It'll likely be a while before I can get to different kinds of manifold descriptions (alternatives to proj fn), but it is something I'll try eventually.  Rendering general geodesic equations would definitely be interesting.