Redefining spatial regimes

This project uses game engines to explore spatial regimes different from those we abide by in our physical universe. Currently I am doing this in two ways:
1. The 3-manifold
2. Nesting spaces

 

2-Manifold
First lets look at a 2-manifold and the 1975 arcade game “Asteroids”:
The ship is a flatlander, when it exits one end of the screen it Teleports to the other end of the screen. This doesn’t make sense in 2D space, but if we connect the ends in 3D space we will have recognised closed shape: a Torus.

asteroids.PNG

3-manifold
We can imagine connecting our 2D plane by folding it in the 3rd Dimension easily. But creating a 3-Manifold by connecting ends of our 3D space by folding it in the 4th dimension is harder. Fortunately we can imagine what it would look like: an infinitely repeating space, like the game Manifold Garden, or the film intersteller.
3-manifold.PNG
Nesting spaces
While spatially interesting, after a while being inside an looping space becomes the same as being trapped in a room. To connect one infinite space to another we need to nest the spaces using portals. Lets re-examine our Torus.
connnecting torus.jpg

2d manifold portal.jpginfinity diagram.jpg

 

Connecting Two torus’ together is simple, in fact there is no limit to how many looping spaces we can connect in this way.

We can again imagine this in 3D and simulate this within a game engine, using portals in the looping space that connect to other entirely different looping spaces.
portals.jpg

 

iso view of portals.PNG

 

This project becomes interesting when everyone will have their own individual infinite space which can be filled with anything they desire. Users will then be able to travel to other users infinite spaces. This becomes the new way of navigating reality, without the burden of physical rules  that currently constrain us.