geordief Posted April 9, 2016 Share Posted April 9, 2016 (edited) 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, 2016 by geordief Link to comment Share on other sites More sharing options...
Endy0816 Posted April 9, 2016 Share Posted April 9, 2016 You mean hypercubes? Link to comment Share on other sites More sharing options...
geordief Posted April 9, 2016 Author Share Posted April 9, 2016 (edited) 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, 2016 by geordief Link to comment Share on other sites More sharing options...
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