The simplest hypercube visualization is taking the fourth dimension as time. Then it’s just a regular cube that appears at once, and a unit of time later again vanishes instantly. ;)
I have a beautiful animation of a tesseract on an old drive somewhere I kept, back in the animated gif days, I'd look at it now and then in wonder. Reminds me of the same extraordinary feelings about the beauty of the universe with this clip: https://youtube.com/shorts/TGuxwgUyu2A?si=knDzBVqTaZ4oqMEj
Pretty immediately my new favorite hypercube-displaying-exploration article. That's a great, very clear step through the problems and common methods, and I really like the end results.
I suspect every attempt will be unsatisfying, but it does a good job of showing "there's more happening here than it looks like at first".
The simplest hypercube visualization is taking the fourth dimension as time. Then it’s just a regular cube that appears at once, and a unit of time later again vanishes instantly. ;)
I was glad to see the cube defined symmetrically around the axis, i.e. abs(x) <= a.
Like a circle, radially, vector length <= a.
I get anxious when encountering the inconsistency between origin centered Hyperspheres and 0-1 bound Hypercubes.
I have a beautiful animation of a tesseract on an old drive somewhere I kept, back in the animated gif days, I'd look at it now and then in wonder. Reminds me of the same extraordinary feelings about the beauty of the universe with this clip: https://youtube.com/shorts/TGuxwgUyu2A?si=knDzBVqTaZ4oqMEj
Pretty immediately my new favorite hypercube-displaying-exploration article. That's a great, very clear step through the problems and common methods, and I really like the end results.
I suspect every attempt will be unsatisfying, but it does a good job of showing "there's more happening here than it looks like at first".