As proof I'm here more than for just getting a tesseract proggie compiled for the Mac, I offer this, if I may.
I have an hypothesis that there's more than one kind of dimension. Sure, this here is primarily about spatial dimentions, and temporal dimensions aren't really a factor for this forum. However, I believe there are four kinds of dimensions, rather than two, and it might explain some of the weirdness observed in physics.
Four? Yes. Two kinds each in spatial and temporal realms. I call them "greater" and "smaller" dimensions, in which the greater dimensions are the ones we observe on the macro scale, such as the common 3 spatial dimensions and one temporal dimension. The smaller dimensions are the ones observable at the quantum level. Sometimes these are referred to as "folded" dimensions, due to the observed behaviour at this scale, but I truly believe these could be considered a separate family of dimensions. And there are quantum-scale temporal dimensions, too.
Anyhoo, food for thought....
Now, about graphical representations of hyperspheres...
d.m.f.
Moved from Theories to Time Dimensions ~Keiji