Freya Holmér | Space Over Time (DreamHackathon VR 2014 winner) @acegikmo | Uploaded December 2014 | Updated October 2024, 4 hours ago.
Created in 24 hours - awarded first prize and best presentation at the DreamHackathon VR 2014!
Arvid Sätterkvist (3D & Level Design) - @ArvidSat
Freya Holmér (Code, Shaders & Music) - @FreyaHolmer
Created in 24 hours - awarded first prize and best presentation at the DreamHackathon VR 2014!
Arvid Sätterkvist (3D & Level Design) - @ArvidSat
Freya Holmér (Code, Shaders & Music) - @FreyaHolmer
![Math for Game Devs [2022, part 10] • Abstract Algebra, Procedural Animation & Splines](https://i.ytimg.com/vi/Pku6WAs1fF8/hqdefault.jpg "Math for Game Devs [2022, part 10] • Abstract Algebra, Procedural Animation & Splines
Primarily for my students at FutureGames - I will only read chat/superchats during breaks!
Assignments & Lecture links ❱ https://acegikmo.notion.site/Lectures-Assignments-a4419295f33f46c3af113eb74b407607
Find out more about the school at https://futuregames.se/
❓ FAQ ❱ https://acegikmo.notion.site/FAQ-8b62a1634746473db702565d890dd3dd
💖 Support me on Patreon ❱ https://www.patreon.com/acegikmo
📺 I usually stream on twitch ❱ https://www.twitch.tv/acegikmo
💬 Join my discord ❱ https://discord.gg/acegikmo
🐦 Follow me on twitter ❱ https://twitter.com/FreyaHolmer
0:00:00 Intro
0:11:06 Lecture Start
0:18:24 Smoothing & Easing functions
0:54:00 Deriving Hermite Interpolation
1:20:00 Splines
1:29:12 i (imaginary unit)
1:39:12 Complex Plane
1:42:05 Complex Numbers
1:50:38 Euler’s Formula & Identity
1:56:00 e (the constant)
2:07:03 Dual Numbers
2:10:43 Why use quaternions in games?
2:17:27 Vector Algebra (an alternate perspective)
2:24:30 Multiplying vectors?
2:30:00 2D Bivectors & the wedge product
2:34:40 Geometric Product
2:43:00 Multivector & Bases
2:48:03 3D Geometric Algebra
2:52:49 Full 3D Multivector
2:57:56 The generality of GA
3:00:26 Quaternions (from a GA perspective)
3:05:05 4D Games
3:07:28 Why quaternions rotate well
3:09:21 Q&A Outro & how I animate in Unity")
![Spaces & Cross Product • Math for Game Devs [Part 2]](https://i.ytimg.com/vi/XiwEyopOMqg/hqdefault.jpg "Spaces & Cross Product • Math for Game Devs [Part 2]
Part two! lets talk about space
If you are enjoying this series, please consider supporting me on Patreon!
🧡 https://www.patreon.com/acegikmo
00:00:00 - Quick recap
00:01:01 - Dot product recap
00:06:51 - Asgmt. 1 solution (Radial trigger)
00:18:16 - Asgmt. 2 solution (Look-at trigger)
00:35:07 - Questions
00:42:24 - Spaces
00:53:26 - Asgmt. 3 solution (Space transformation)
01:18:43 - World to local
01:34:14 - Matrices
02:15:20 - Cross product
Assignments:
Asgmt. 4 (Bouncing laser)
Asgmt. 5 (Mesh surface area)
Asgmt. 6 (The turret)
https://docs.google.com/document/d/1Nou1ZAbNOkELggW9YqZ9LTRIW9Hc-isUpURbQ8gjiMM
Originally streamed as a course for students at http://futuregames.se/, who were super kind to let me both stream this live as well as upload it here! so massive thanks to the people at FutureGames!!
💖 Patreon ❱ https://www.patreon.com/acegikmo
🐦 Twitter ❱ https://twitter.com/FreyaHolmer
📺 Twitch ❱ https://www.twitch.tv/acegikmo
💬 Discord ❱ https://discord.gg/v5VWuga
🌸 Instagram ❱ https://instagram.com/freya_holmer
✫ Video Production by Higher Vision:
➥ https://twitter.com/HigherVision1
➤ Edited by Stelly: https://twitter.com/stelly47050876")
![Math for Game Devs [2022, part 8] • Trajectories & Derivatives](https://i.ytimg.com/vi/XkAuksIABHI/hqdefault.jpg "Math for Game Devs [2022, part 8] • Trajectories & Derivatives
Primarily for my students at FutureGames - I will only read chat/superchats during breaks!
Assignments & Lecture links ❱ https://acegikmo.notion.site/Lectures-Assignments-a4419295f33f46c3af113eb74b407607
Find out more about the school at https://futuregames.se/
❓ FAQ ❱ https://acegikmo.notion.site/FAQ-8b62a1634746473db702565d890dd3dd
💖 Support me on Patreon ❱ https://www.patreon.com/acegikmo
📺 I usually stream on twitch ❱ https://www.twitch.tv/acegikmo
💬 Join my discord ❱ https://discord.gg/acegikmo
🐦 Follow me on twitter ❱ https://twitter.com/FreyaHolmer")
