Overview of Hyperbolic and Spherical Space with Non-Euclidean Geometry

July 6, 2020

Non-Euclidean Geometry

Hyperbolic and Spherical Space

Non-Euclidean Geometry Explained - Hyperbolica Devlog #1
Youtube - Link
By: CodeParade

Introduction

I just find weird and interesting ways to apply math concepts interesting so I wanted to note this video I came across here. It covers the most basic principles of some non-Euclidean geometries and tries to explain them as simply as possible (which will still take several watches for me to truly grasp). The extra mathematical concepts they cover such as how these geometries change the formulas for circumference and area of a circle or the area of a triangle are really cool and it would be a fun challenge to explore how to use these effectively in a game space.

Speaking of, they actually mention a roguelike game that tries to use hyperbolic space as the environment for the player which can be found here (it can be downloaded freely at this time as well):
Hyper Rogue Site

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