I love these things...there's something about them that I relate to the "self-transforming" aspects of another strange space. Watch as a four-dimensional object cuts through our limited three-dimensional perception:
Admit it. You can’t take your eyes off this object. This is a tesseract and as such is a 4 dimensional shape. Wait, though. We only live in three dimensions, don’t we? So although this object is beautiful, hypnotising almost – what on earth is it and what is it doing here, confounding our lovely three dimensions with its impertinent fourth? Strictly speaking, what you can see above is a two dimensional projection of a three dimensional simulation of a four dimensional tesseract, that’s what
...Think of the space with which you are familiar. Put simply; think of the ways in which you can move. There is left to right, forwards and backwards. Finally there is up and down. Three ways, three dimensions. You can pinpoint your location by working out your coordinates in those three directions.
...When you go to the fourth dimension (cue Twilight Zone music) you have another direction. That direction is (wait for it) at right angles to each and every one of the three original directions. If your head just exploded, don’t worry. That is quite a normal reaction. Just take it from me that the math works.
Tesseract 101 at Kuriositas.
Previously on TDG: