A mysterious and terrible-looking graphic

Four-dimensional spaceFour-dimensional space

Feels like a mess, doesn't it? Don't worry, take your time looking at it... (you might want to save it first) more

Does this look a bit better?

Four-dimensional space 2Four-dimensional space 2

If I'm not mistaken, what you're looking at is the planar projection of a four-dimensional cuboid! It's formed by translating a three-dimensional cuboid along the fourth dimension:

Four-dimensional space 3Four-dimensional space 3

English translation of a post from 科学空间 | Scientific Spaces by 苏剑林. Original: https://kexue.fm/archives/853
Translated automatically with claude-sonnet-5; all equations are reproduced verbatim from the source. Copyright remains with the original author.