This video shows the solution to the most complex portal riddle: "What will happen if we put one portal into another?". I explained how this works and how I programmed this.
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Chapters:
0:00 Intro
0:44 Portal Explorer program
1:02 Formulating the problem
1:30 About portal movement
1:59 What a portal is
2:59 Riddle about portal movement
3:28 My version of that riddle
4:16 Two portal pairs
5:40 Why portal must have the same shape on input and output
6:24 Why split portal looks continuous
7:10 How split portal will teleport object
7:55 Why two portal pairs scene is important
8:16 Common information about the "portal in portal"
8:43 What if look inside "portal in portal"
9:03 What if put object into "portal in portal"
9:33 Teleportation degrees
10:41 Rotating portal in portal animation
11:01 Base of the discrete approach
12:01 Solution of "portal in portal" by discrete approach
14:10 Base of the analytical approach
17:17 Solution of "portal in portal" by the analytical approach
18:55 What if move next, ignoring limitations
19:48 About my program
20:45 Base of the program
21:21 Outro
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Links:
[1] https://optozorax.github.io/portal - my program in the browser (don't run from your phone, this program has very heavy shaders, it may lay down your phone or weak computer)
[2] https://github.com/emilk/egui - "egui" library
[3] https://github.com/not-fl3/macroquad - "macroquad" library
[4] https://github.com/optozorax/portal - source code of my program
[5] https://ncatlab.org/nlab/show/David+Michael+Roberts
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Places where I post:
Twitter: https://twitter.com/optozorax
Mastodon: https://mathstodon.xyz/@optozorax
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Music:
"Furious Freak", "Beauty Flow", "Galactic Rap", "Breakdown" by Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 4.0 License
http://creativecommons.org/licenses/by/4.0/
Cheel - Sunday Rain
Jukebox - Patrick Patrikios