In few words: I'm a 3rd year Aerospace Engineering student at Ohio State University. I love rock climbing, math, and video games to name a few. I'm somewhat of a nerd, but that's ok. I like mostly metal but I am also a fan of classical, swing, jazz, and prog rock.
I got a little creative in my CAD (computer-aided drafting) program I use for school and decided to make something fun. In case your curious it was made with Autodesk Inventor.
A castle I drew with some underground rooms/dungeons… basically whatever you want them to be.
I started drawing some shapes… it ended up with the 4-dimensional hypercube that’s in the center. And for those who say the 4th dimension is time, well that’s a yes and a no. I’m referring to 4 spacial dimensions. To help illustrate the concept take a line and call it the x-axis. This line is one dimensional. It only continues in the directions of left and right. Now add another line that is perpendicular to the first, meaning that they make 90 degree angles between them, and call it the y-axis. This new line represents the second dimension. So, one could move anywhere left or right along the x-axis or forward and backward along the y-axis. Once again, add a new line that is perpendicular to the first two and call it the z-axis. This is the third dimension so one could not only move forward, backward, left or right but also up and down. This is what most people are familiar with. Moving in 3 dimensions. Now try to imagine a fourth line that is perpendicular to the first 3 (it’s pretty freakin hard if not impossible). Conceptually this would represent a fourth spacial dimension.
So now if you look at the cool design in the center of my doodles, you’ll see what a 4th dimensional cube would look like under the assumption that the 4th spacial dimension is perpendicular to the first 3. How did I do this? Well I just followed a simple concept that you probably already know.
Take a square which is a two dimensional cube. To make it a cube you just translate (slide) that square up and to the right and connecting the corners. This is how most people draw a cube on paper (a 3D object on a 2D plane). Well, to make the 4D cube just translate the entire cube up and to the left connecting all the corners. Then you have the hypercube. I hope you enjoy!
I couldn’t think of anything in particular I wanted to do so I just drew randomness… or something of the sort. I did it on engineering graph paper in case you’re wondering what that was in the background. Being an engineering student that’s all I have at hand.
