What happens if you put a portal in a portal? Simulation and explanation

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:

DEMO: optozorax [dot] github [dot] io [slash] portal

(don't run demo from your phone, this program has very heavy shaders, it may lay down your phone or weak computer).

For now, other links are unavailable, because my channel is new, YouTube forbids me :( I will update this one later.

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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

Cheel - Sunday Rain

Jukebox - Patrick Patrikios