/sci/ - Science & Math

>>8584104
What do you try to accomplish in this image?

In 1D, a "cube" is a line with 2 points and at each there is 1 edge going out
x-----x

In 2D, a "cube" is a square with 2*2=4 points and at each there is 1+1=2 edges going out
You can think of the edges as orthogonal lines in Euclidean space like so
x-----x
|.......|
x-----x

In 3D, a cube is a line with 2*2*2=8 points and at each there is 1+1+1=3 edges going out.
You can think of the edges as orthogonal lines in Euclidean space. Imagine a dice.


In 3D, a cube is a line with 2*2*2*2=16 points and at each there is 1+1+1+1=3 edges going out.
You can think of the edges as orthogonal lines in Euclidean space. Pic related, except the diagonal lines are really going away orthogonally, which we can't draw as a 3D picture anymore.

So there's this series of videos explaining the fourth dimension, and four-dimensional geometry... one of them uses M.C. Escher's lizard drawing as an example, and one of them talks about map projections... the narrators all have funny English accents, and talk in the perspective of historical mathematicians. Each video is about 10-15 minutes long, if I remember correctly. I saw a link to the videos on here a couple months ago, and figured I might as well see if anyone was familiar with them. Thanks in advance, /sci/.