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.
4D Space (XII): Unknotting Spherical Knots
The introduction to 2D surface knots wasn't actually very detailed last time. Today we want to analyze knots from another perspective. Let's try to unknot some knots in 4D space!
4D Space (XI): Geometric Algebra, Quaternions and Rotation
Here we introduce a new algebraic system that can "unify" high-dimensional geometry - Geometric Algebra. This encompasses scalars, vectors, n-vectors. It even includes spinors (rotate twice to look th
4D World (VII): Electromagnetism
In our 3D world, one of the most magical things is the electromagnetic field. Various induction phenomena are 3D and require the right-hand rule in space. Can we analogize these things to 4D?
Minecraft4D Tutorial
Minecraft4D is a true 4D (hypercube-based) 4-voxel sandbox game. (If you include time, it’s actually in 5D spacetime!) Currently, the game only supports single-player creative mode.
