Fractal Snowflakes, Symmetries, and Beautiful Math Decorations

Published: 15 December 2022
on channel: Dr. Trefor Bazett
8,068
280

Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free, and hurry—the first 200 people get 20% off an annual premium subscription.

Today is MATH CRAFTS day! We're going to make some holiday decorations and then also chat about the cool math behind them. We'll learn about the cool Koch Snowflake fractal (infinite perimeter but finite area!), the dihedral group symmetries of the snowflakes, and finally an origami stellated dodecahedron.

0:00 The Koch Snowflake algorithm
1:16 Crafting a Koch Snowflake
1:59 Mathematical properties of the Koch Snowflake
6:02 Symmetries of Snowflakes
9:18 The Dihedral Group
11:22 Origami Dodecahedron
12:43 Brilliant.org/TreforBazett

Instructions for the stellated origami dodecahedron built from Sonobe units: https://www.wikihow.com/Make-a-Modula...

Check out my MATH MERCH line in collaboration with Beautiful Equations
►https://beautifulequations.net/pages/...

COURSE PLAYLISTS:
►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...  
►LINEAR ALGEBRA:    • Linear Algebra (Full Course)  
►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...  
► CALCULUS II:    • Calculus II (Integration Methods, Ser...  
►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus ...  
►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line In...  
►DIFFERENTIAL EQUATIONS:    • Ordinary Differential Equations (ODEs)  
►LAPLACE TRANSFORM:    • Laplace Transforms and Solving ODEs  
►GAME THEORY:    • Game Theory  

OTHER PLAYLISTS:
► Learning Math Series
   • 5 Tips To Make Math Practice Problems...  
►Cool Math Series:
   • Cool Math Series  

BECOME A MEMBER:
►Join:    / @drtrefor  

MATH BOOKS I LOVE (affilliate link):
► https://www.amazon.com/shop/treforbazett

SOCIALS:
►Twitter (math based):   / treforbazett  
►Instagram (photography based):   / treforphotography  


Watch video Fractal Snowflakes, Symmetries, and Beautiful Math Decorations online without registration, duration hours minute second in high quality. This video was added by user Dr. Trefor Bazett 15 December 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 8,068 once and liked it 280 people.