The Magical Hyperbolic World In this article, we will explore the geometric properties of hyperbolic space and attempt to construct an imaginary hyperbolic universe. We will discuss basic concepts such as lines, circles, and horo 2023-06-28 Strange World Series #Physics #Geometry #Hyperbolic Space
Play Tesserxel (II): Scene Interaction This article will introduce interacting with 4D scenes in Tesserxel. We will cover complex solids of revolution, direct products, and the 4D highway scene. After understanding these more complex scene 2023-06-22 Tesserxel Series #4D #Tesserxel #Graphics #Webgpu
Play Tesserxel (I): View Control This article will explain how to use the mouse and keyboard to control the display angle of 3D voxels in Tesserxel, the methods for switching between different modes, and shortcut operations. So if yo 2023-04-26 Tesserxel Series #Tesserxel #Graphics #Webgpu #4d
Minkowski Space and Constant Curvature Spaces Today we will look at a series of worlds constructed based on Minkowski space and introduce some related concepts of differential geometry. This article is more about the geometric properties of these 2023-02-26 #Physics #Geometry #Hyperbolic Space
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... 2023-01-09 4D World Series #Mathematics #4D #Physics
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 2022-12-18 #Mathematics #Graphics #Group Theory #Topology
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 2022-12-17 #Mathematics #Algebra #Peculiar Imagination
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 2022-09-08 Tesserxel Series #Javascript #Tesserxel #Graphics #4d