Chapter 0: “My dear E, Let there be no more hesitancy"

What does the third dimension look like in two dimensions?

Any 10 year old can show you. Draw two squares, connect the corners....



A three dimensional cube in two dimensions. Sort of. It is actually the illusion of a three dimensional cube in two dimensions. A magic trick. A simple magic trick.
And depending on how you look at it, not one but two distinct cubes are observed, further evidence of the illusion.

What does the fourth dimension look like in two dimensions?

This is also an illusion. Another magic trick. A really complicated magic trick.