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 CrossSection
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 noneuclidean games work? | Bi...   by ‪@DigiDigger‬
(2)    • Cracking the 4D Rubik's Cube with sim...   by ‪@Mathologer‬
(3)    • SIGGRAPH 2020 Technical Paper: nDime...   by ‪@marctenbosch‬
(4)    • How Imaginary Numbers Were Invented   by ‪@veritasium‬
(5)    • Imaginary Numbers Are Real [Part 1: I...   by ‪@WelchLabsVideo‬
(6)    • Visualizing quaternions (4d numbers) ...   by ‪@3blue1brown‬
(7)    • Further adventures in stereographic p...   by ‪@henryseg‬
(8)    • So I Guess I'm Making a 4D Game Now.....   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 NonEuclidean Geometry in Modern Art": https://amzn.to/3sAWbbC


●●● Social Links ●●●
Twitter ►   / alanzucconi  
Patreon ►   / alanzucconi  
Website ► https://www.alanzucconi.com