The Beauty of Symmetry: An Introduction to the Wallpaper Group
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free for 30 days — and the first 200 people get 20% off an annual premium subscription!
Resources used in the video:
Web app to generate all 17 wallpapers: https://math.hws.edu/eck/js/symmetry/...
Lots of images for each element of the wallpaper group: https://en.wikipedia.org/wiki/Wallpap...
The aperiodic monotile: https://cs.uwaterloo.ca/~csk/hat/
There are precisely 17 different periodic tilings of the plane. That is, demanding translational symmetries, we can investigate the possible rotational, mirror reflection and glide reflection symmetries and it creates the so called Wallpaper group with 17 possibilities.
0:00 The wallpapers of Alhambra
1:07 The four symmetries
2:31 The symmetries of pmg
5:55 Tilings and lattices
8:02 the 17 wallpapers
10:20 The symmetries of p6
12:45 The symmetries of cm
13:50 Plotting all 17 wallpapers
14:28 Why only rotations of 2,3,4,6
17:02 New research on aperiodic tilings
17:50 brilliant.org/TreforBazett
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
Смотрите видео The Beauty of Symmetry: An Introduction to the Wallpaper Group онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Dr. Trefor Bazett 28 Март 2023, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 21,260 раз и оно понравилось 607 людям.