In Spacetime there are 4 dimensions which form a hyperbolic space.

 

In everyday 3D geometry the gridlines form "cells" which take the form of common or garden cubes with 6 faces.

 

What does the corresponding arrangement look like in 4D hyperbolic space? Are there any descriptions I can find -or even drawings?

 

Can I refer to these objects as "cells" ? How many "faces" are they to correspond to the 6 in 3D space? Is that number 8?

Edited April 9, 20169 yr by geordief

You mean hypercubes?

That is the first time I have learned of the term "hypercube" but it doesn't seem to be specific to 4D hyperbolic space (despite the prefix "hyper" in it) *

 

Maybe I am asking about a class of hypercube and specifically one in 4 dimensions and where one of them is time (or perhaps more accurately where one of the dimensions is a spacial length like "ct") and has the minus sign giving us the hyperbolic space.

 

* a "hypercube " seems to have n dimensions if I am reading it right.

Edited April 9, 20169 yr by geordief