A few months back, I made the Desmos Ferris wheel and gave myself a harder task: make a rotating three-dimensional cube.
After mulling this over for a while, I had an idea. If I animated a point going around on a circle, then divided every sine by 2, then added 3 more points 90 degrees apart, I would essentially have the top of a spinning cube.
After some time and work, I added 4 lines connecting these points. This was extremely difficult, as the end of the lines would never be equal to the same point , or go into negative space. Negative space is where the bounds of a line cross one another, and the line disappears. For example, if I had a line that was y=x+3, with bounds of {2 < x < g}, when g goes under 2, there would be no valid spaces to show the line. I eventually fixed this by making the circle only turn 90 degrees at a time, so that the points didn’t cross one another in the Y direction. If they did, I would make it so that the variable in the bounds was x.
Example of negative space:
https://www.desmos.com/calculator/ysnch6mfkb
After I got this figured out, all that was left was to copy and paste the equations two spaces below and add vertical lines connecting up the upper and lower faces. Now, I had a spinning three-dimensional cube in Desmos.
Link to graph:
