How to expand a cube to obtain a Tesseract – a 4D equivalent of a cube

I'm grateful to the author for putting all that work into creating so many visualizations and diagrams to help me understand it. But sadly I still don't. ¯\_(ツ)_/¯

Phenomenal visualizations! Truly a game changer in exposition. Would love to use these interactive visualizations in my blog to take it to the next level. Anyone know which tool(s) the author has used?

Regarding the difficulty of expressing the differing distances of overlapping points in the isometric projection (the one that has four axis) and in the shadow projection. A common way to represent proximity in 3d in a 2d projection is to make the wireframe thicker and/or stronger for closer lines, such as in organic chemistry (see the diagram for Bromochlorofluoromethane [1]), as if the wireframe had non-zero thickness and appeared thicker the closer it is to our eyes

Could something similar be implemented to improve the visualization of 4d objects in 3d projections? Making lines/surfaces thicker when closer in the orthogonal dimension, or changing opacity to represent such thickness

[1] https://en.wikipedia.org/wiki/Bromochlorofluoromethane

"But I thought the 4th dimension was time!"

Make sure to watch the movie Hypercube to fully appreciate this article!

Just take e.g. [0,1]^4 ? Ah, this article is about visualizing it, ok.