4D World (VIII): Navigation on a 4D Planet
We mentioned how to use the geomagnetic field for navigation but without detail. We'll providing a navigation guide for explorers on 4D planets using magnetic fields, Coriolis force...
Introduction to Algebraic Topology (Part 2): Homology Theory
We'll talk about Homology Groups, the notions of chains, boundaries, and provide concrete examples of their computation. We'll explain Poincaré duality and introduce de Rham cohomology, which connects
Visiting the Infinite Pig Farm
Mr. Tengse was invited to visit the Infinite Pig Farm. The staff member is responsible for introducing him to the management model here. Staff member: Welcome to the Infinite Pig Farm. This is an infi
Play Tesserxel (0): A New 4D Engine
The previous 4D engine was based on WebGL. Now I have decided to try using the new WebGPU API to re-implement the 4D rendering engine. Thus, the new project - Tesserxel was born. Tesserxel takes the w
A Self-Made Computer Piano
How do you play piano using a computer keyboard? Actually, there are many computer piano simulation softwares available, such as EveryOnePiano which I’ve used before, and the more famous FreePiano. Of
Introduction to Algebraic Topology (Part 1): Homotopy Theory
In previous article, we introduced various figures with holes in 4D. How to study these holes? This article aims to provide an intuition of homotopy and homology in algebraic topology.
