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Multivector & Bases
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Classroom Contents
Math for Game Devs - Abstract Algebra, Procedural Animation & Splines
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- 1 Intro
- 2 Lecture Start
- 3 Smoothing & Easing functions
- 4 Deriving Hermite Interpolation
- 5 Splines
- 6 i imaginary unit
- 7 Complex Plane
- 8 Complex Numbers
- 9 Euler’s Formula & Identity
- 10 e the constant
- 11 Dual Numbers
- 12 Why use quaternions in games?
- 13 Vector Algebra an alternate perspective
- 14 Multiplying vectors?
- 15 2D Bivectors & the wedge product
- 16 Geometric Product
- 17 Multivector & Bases
- 18 3D Geometric Algebra
- 19 Full 3D Multivector
- 20 The generality of GA
- 21 Quaternions from a GA perspective
- 22 4D Games
- 23 Why quaternions rotate well
- 24 Q&A Outro & how I animate in Unity
