I sadly have no time to work on this myself, but seeing as it can be done using Axe or even Ti-Basic, I decided to throw it out and see what people think.

The idea is to create a 3d engine that uses only 8x8 sprites without the need to distort, rotate or stretch them.  I attached some concept art below.  Notice how the walls all consist of 8x8 sprites.  I also imagine that nothing has to appear in front until the person gets close to it, a concept of distance.

Something like this might take a length of time, but it won't be hard.  I could do something like this using completely Ti-Basic and Correlation if I had the time

If you have questions or comments, I'm afraid I was too tired to talk about this much (I will be happy to discuss it later.)  By the way, I don't see this as smooth scrolling, but rather a person taking one step at a time. 

THat looks old-skool, but in a cool way, for some reasons. A while ago someone made a raycaster using the home screen. I'm unsure how feasible this would be, though. I guess it might be an idea to try.

Yeah most likely 90°

That said Axcho did it at 30° though. It just looked weird.

This does look pretty interesting. I definitely like the idea! =)

Yeah, me too, and i was like O.o

This sounds pretty interesting, almost just like normal 3D but extremely low-res (8x8 sprites instead of pixels)?

I think this could definitely be doable, maybe even in correlation i think that rotation would have to be at 90 degrees tho, since im not sure you could get enough fidelity with 8x8 for the graphics necessary for full rotations.

Anything other than 90 degrees is almost out of the question    But I've been wrong before

Good idea. Also the swapping of sprites (one light then one dark then one light etc) creates a depth effect. the biggest problem with 3D on this limited a screen is that sometimes it is hard to see depth.

Yeah, to get a depth effect, one would either have to create dark/light or do a different "wall piece" for every column of 8x8 sprites.  I only made a mockup, but if done right, I think people could actually put different kinds of pieces in one section of wall.

I like it a lot. However, I think 45 degrees would be possible. (I don't know how, just a feeling. I'll think on it more later)

Yeah, now that I think about it, 45 degrees and even 22.5 degrees would be possible, if done correctly.  However, without smooth scrolling, 22.5 is a little bit too much.  Also, floors and ceiling are a litle bit more difficult when turning 45 degrees.

It might be possible to code this as several small programs used as functions which could then later be used in games. You could store map information and textures inside strings and then the sub functions could use that to render a scene.