Get better at MATH with Brilliant at to get started for free and to get 20% off an annual premium subscription! ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON: ► CURIOSITY BOX: use CODE drtrefor for 25% off awesome STEM merch boxes ► MATH BOOKS I LOVE (affiliate link): 0:00 High Dimensional Balls 1:03 What are High Dimensional Balls? 2:49 Visualizing higher dimensions 3:59 Intuition for why the 5th dimension 7:37 Deriving the volume formulas 14:40 Using the Recurrence Formula 16:12 Volumes in Lp spaces COURSE PLAYLISTS: ►DISCRETE MATH: ►LINEAR ALGEBRA: ►CALCULUS I: ►CALCULUS II: ►MULTIVARIABLE CALCULUS (Calc III): ►VECTOR CALCULUS (Calc IV) ►DIFFERENTIAL EQUATIONS: ►LAPLACE TRANSFORM: ►GAME THEORY: OTHER PLAYLISTS: ►Cool Math Series: ► Learning Math Series SOCIALS: ►X/Twitter: ►TikTok: @drtrefor ►Instagram (photography based):