I present the easiest way to understand curved spaces, in both hyperbolic and spherical geometries. This is the first in a series about the development of Hyperbolica. Chapters: 0:00 Intro 0:24 Spherical Geometry 2:33 Hyperbolic Introduction 3:53 Projections 5:37 Non-Euclidean Weirdness 8:31 Non-Euclidean Formulas 10:20 Outro Hyperbolica Trailer: https://www.youtube.com/watch?v=EMKLeS-Uq_8 Steam Page: https://store.steampowered.com/app/1256230/Hyperbolica/ Merch: https://crowdmade.com/collections/codeparade Henry Segerman https://www.youtube.com/channel/UC4zzTEL5tuIgGMvzjk1Ozbg https://www.youtube.com/watch?v=eGEQ_UuQtYs HyperRogue https://roguetemple.com/z/hyper/ If you like the things I do and want to support the channel: https://www.patreon.com/codeparade https://ko-fi.com/codeparade Music: "Glass Waves" By Phil K https://www.phil-makes.com/noise