This morning, I’ve been messing around with drawing dimensions past the fifth dimension. I’m a shitty artist compared to a lot of Tumblr, but this is freaking cool. Think about this:
- A Line is a Dot extended in any direction.
- A Square is made when you move that Line one unit length perpendicular to itself.
- If you move that Square one unit length perpendicular to the plane that it’s drawn on, it becomes a Cube. Now you’re playing with the Third Dimension.
- Now if you take that Cube and move it one unit length into the Fourth Dimension (Not quite perpendicular to the Third Dimension), you create a Four-Dimensional unit called a Hypercube.
- With the Hypercube, you can continue this pattern (using math!) to demonstrate an infinite number of dimensions.
So in theory, you should be able to (given a fine enough pencil and a large enough piece of paper) draw a unit on the twelfth dimension (a “dodekeract”) on a two-dimensional plane. So that’s one of the things that blows my mind, but here’s the other thing:
A Dot is a Hypercube representation of the 0th dimension. A Line is a Hypercube of the 1st Dimension, a Square of the 2nd, etc.
So you can go to all of this effort to stretch your mind into drawing a hypercube and representing the 4th Dimension, but if you’re thinking about it terms of dimensions, all of these shapes are actually the same shape. I don’t care how into math you are, that’s frakking awesome.