This graphic demonstrates what happens when you mix one dimension into another. For instance, if I take one dimension and I move it to the right, then to the left, then to the top, and then to the bottom, it’s now three dimensions. The result is that I am not only three dimensional, but also, there are three dimensions of space.
If you use the 3D representation to represent more than two dimensions, you could use the 4D representation to represent just two dimensions.
The reason this graphic is so exciting is because it can show exactly what it means to be a 3D artist. Here’s the thing: in order to be a 3D artist, you have to be able to move your hand over the screen, to the right, and to the left, and also to the top, right, and bottom, and all three dimensions must be in the image.
To make a point about the 3D representation of the 4D representation, I think it is important to look at what I call the 3D representation of the 4D representation.
As a 3D artist, I can draw a 3D object (in this case my hand) so that it looks like it is sitting at a desk. To do this, I simply move my hand, which is on the screen, to the right, and left, and to the top, right, and bottom, and all three dimensions are in the image.
I can draw a 4D object in this case my forearm so that it looks like it is sitting at a desk. To do this, I simply move my forearm, which is on the screen, to the right, and left, and to the top, to the bottom, left, and right, and all three dimensions are in the image. Now, imagine the same hand drawing a 3D object in this case my hand again.
What if you’re a new person and you do some weird thing to your hand? Or a guy who was caught up in the middle of a game and is taking out a new player? If you make a 3D object that looks like it was actually standing up, how will that change the overall presentation? It changes the perspective of the screen. You can’t change the perspective of the screen.
As we see in the graphic above, by using steno’s law of superposition, you can change the perspective of a 3D object. The image is a 3D object, but it is still only three dimensional, because it was drawn with the same hand. But if you made the 3D object with the same hand you would have the same perspective on the 3D object, but it would be a different perspective.
But the graphic above is not 3D. It is two dimensional. It shows the perspective of the 3D object. So all we have to do is change the perspective of the 3D object.
Steno’s Law of Superposition is a 3D law that says that you can make a 3D object appear to be two dimensional if you superimpose a two dimensional image on top of the 3D object. So if you draw a square, you can superimpose the shape of a box on top of the square. But you can’t superimpose a square on top of a box. You have to draw the box with the same hands.