Game Mathematics
Pythagoras Theorem
Direction = Destination - Source
Center point of 2 points
A—————-Q———————–B
Qx = (Ax + Bx)*0.5
Qx = (Ay + By)*0.5
Q = (A + B)*0.5
B = 2Q - A
A = 2Q - B
Weighted Average of 2 points
A——————————Q———B
Q = (1-t)A + tB
Parabolic
B————R———–C
/ /
/ P
/ /
Q
/
/
A
AQ/AB = QP/QR
Q = (1-T)(A) + t(B)
R = (1-T)(B) + t(C)
P = (1-T)(Q) + t(R)
Lerp
Lerp = ((1-t)a+(tb))
References
https://www.khanacademy.org/partner-content/pixar/environment-modeling-2
https://nrich.maths.org/1374
Courses
[Game Development Foundations: Game-Related Math]
(https://www.linkedin.com/learning/game-development-foundations-game-related-math)
Math For Video Games: The Fastest Way To Get Smarter At Math