The previous article introduced various types of vehicles in the four-dimensional world, all of which can freely drive and steer on three-dimensional ground surfaces. Since four-dimensional space does

We will focus on curved surface (cell) in 4D. We'll understand them from new perspectives (thickening, lofting, solids of revolutions). Then some new objects - duospindles, Polytwisters, and 4D spiral

In the last post I mentioned that 4D urban traffic doesn't need overpasses because the ground is 3D, and traffic flows in two directions only need to follow skew lines. Now let's first study what road

In my previous articles on 4D space, I described a world on a 4D planet. This time, I'll investigate the day-night and seasonal changes produced by a 4D planet's rotation and revolution. The first thi

To experience the "feeling" of 4D space, interactions on computer is really helpful. Here I'll organize the 4D programs I've played (not necessarily all games, 4DGolf、4DMiner、4D Toys、Miegakure、4DBlock

With some basic knowledge of groups, we should now discuss the problem of roots of n-degree equations. This article is somewhat advanced, but it aims to give readers an intuitive understanding of Galo

Why do quintic equations have no radical solutions? Galois provided a perfect answer using group theory. Most engineering students haven't studied group theory or abstract algebra. I plan to write a s

The Pythagorean theorem can be invalid! You've probably heard of non-Euclidean geometry. If we "forcibly" define the distance such that the sum of the p-th powers of the two sides equals the p-th powe