The Fourth Dimension Is Real ✨

A documentary about the hidden beauty of the Fourth Dimension. 00:00:00 - Introduction 00:00:41 - Part 1: History 00:01:37 - 4D in Art 00:04:15 - 4D in Movies 00:07:56 - 4D in Games 00:11:25 - Part 2: Dimension 00:13:33 - Reality 00:18:01 - Part 3: Visualisation 00:19:42 - Orthographic Projection 00:20:28 - Perspective Projection 00:21:33 - Cross-Section 00:23:40 - Part 4: Geometry 00:23:50 - Rotations 00:26:23 - Construction 00:28:54 - Outro 00:30:20 - Credits ●●● Credits ●●● Script, Voice, Editing: Alan Zucconi FEZ II Teaser:    • Fez II - Announcement Teaser   "Adventure" by ‪@dzasterpeace‬ "Doctor Who" by Ron Grainer & Delia Derbyshire All animations have been made in Unity using Shapes by ‪@acegikmo‬: https://assetstore.unity.com/packages... This video was made possible by the support of many patrons on Patreon. ●●● References ●●● (1)    • How do non-euclidean games work? | Bitwise   by ‪@DigiDigger‬ (2)    • Cracking the 4D Rubik's Cube with simple 3...   by ‪@Mathologer‬ (3)    • SIGGRAPH 2020 Technical Paper: n-Dimension...   by ‪@marctenbosch‬ (4)    • How Imaginary Numbers Were Invented   by ‪@veritasium‬ (5)    • Imaginary Numbers Are Real [Part 1: Introd...   by ‪@WelchLabs‬ (6)    • Visualizing the 4d numbers Quaternions   by ‪@3blue1brown‬ (7)    • Further adventures in stereographic projec...   by ‪@henryseg‬ (8)    • So I Guess I'm Making a 4D Game Now... - 4...   by ‪@CodeParade‬ (9)    • I visualized 4D shapes #SoME2   by ‪@ArtemYashin‬ ●●● Extra Resources ●●● "Things to Make and Do in the Fourth Dimension" by ‪@standupmaths‬: https://amzn.to/3YZVXqC "The Visual Guide To Extra Dimensions" by Chris McMullen: https://amzn.to/3OUDcQR "Flatland" by Edwin A. Abbott: https://amzn.to/45LDOig "The Fourth Dimension and Non-Euclidean Geometry in Modern Art": https://amzn.to/3sAWbbC ●●● Social Links ●●● 🐦 Twitter ►   / alanzucconi   💰 Patreon ►   / alanzucconi   🌐 Website ► https://www.alanzucconi.com