The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" by the Swedish mathematician Helge von Koch. The Koch snowflake can be built up iteratively, in a sequence of stages. The first stage is an equilateral triangle, and each successive stage is formed by adding outward bends to each side of the previous stage, making smaller equilateral triangles. The areas enclosed by the successive stages in the construction of the snowflake converge to times the area of the original triangle, while the perimeters of the successive stages increase without bound. Consequently, the snowflake encloses a finite area, but has an infinite perimeter. (Wikipedia).
Images in Math - Koch snowflake
This video is about the koch snowflake and some of its properties.
From playlist Images in Math
Tchaikovsky - Waltz of the Snowflakes
Waltz of the Snowflakes is a piece from scene Act I, Tableau II of the ballet The Nutcracker composed by Pyotr Ilyich Tchaikovsky. ▶️ More from Tchaikovsky: https://www.youtube.com/playlist?list=PLO09Th4dLYVlIvoB8xErShIMa2qGD-4Fv 🔔 Subscribe to The Wicked North for the very best in class
From playlist Brilliant Music
Coding Challenge #129: Koch Fractal Snowflake
Snowflake Challenge #3! In this video, I draw the Koch Fractal Curve in Processing (Java). #kochfractalcurve 💻Code: https://thecodingtrain.com/CodingChallenges/129-koch-snowflake Links discussed in this video: 🔗 Support the Processing Foundation: https://processingfoundation.org/support/
From playlist Coding Challenges
Koch Snowflake Fractal: Area and Perimeter Calculation
The Koch Snowflake is one of the simples fractals to construct, but yet displays some very interesting mathematical properties. In this video made for Maths Week London, we calculate the perimeter and area of the fractal leading to some rather surprising results… The perimeter is shown to
From playlist Director's Cut
Shader Coding: KIFS Fractals explained!
In this video I'll explain how to make a Koch Snowflake fractal. The Koch snowflake is an example of a kaleidoscopic iterated function system (KIFS) fractal. Twitter: @The_ArtOfCode Facebook: https://www.facebook.com/groups/theartofcode/ Patreon: https://www.patreon.com/TheArtOfCode Shade
From playlist Fractals
This Will Be Your Favorite Shape
Visit http://brilliant.org/BriTheMathGuy/ to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. The Koch Snowflake is fantastic fractal to study! This mathematical object has some great properties that we can study using seri
From playlist Series, Series, Series
Schwarz-Christoffel Mappings and The Koch Snowflake | Nathan Dalaklis
Last time we talked about Conformal Mappings, but we didn't really give any specific examples. This episode is dedicated to producing a few of them that fall into the category of Schwarz-Christoffel Mappings. Being a bit handwavy, we'll look at the general form of a Schwarz-Christoffel map
From playlist The First CHALKboard
Advanced Knowledge Problem of the Week 12-22-16 (Winter Edition)
Ben happily calculates the area of some von Koch snowflakes in this Holiday/Winter Edition of the Advanced Knowledge Problem of the Week. Note - Ben, embarrassingly, wrote the answer to part a completely wrong. The answer should be 2*sqrt(3)/5 (see the solution transcript for more details
From playlist Center of Math: Problems of the Week
What Is A Fractal (and what are they good for)?
Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, a undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature. Learn more about all the stuff that MIT is doing and researching with fr
From playlist Science Out Loud
It's Snowflakes Season | Deep Look
Watch our full episode about snowflakes here 👉 https://youtu.be/Gojddrb70N8 #shorts #deeplook #science #snowflakes
From playlist Deep Look #Shorts
Area of Koch snowflake (part 2) - advanced | Perimeter, area, and volume | Geometry | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry-volume-surface-area/koch-snowflake/v/area-of-koch-snowflake-part-2-advanced Summing an infinite geometric series to finally find the finite
From playlist Perimeter, area, and volume | Geometry | Khan Academy
Scientists Trapped Electrons In a Quantum Fractal (And It's Wild!)
Fractals aren’t just crazy cool mathematically infinite shapes. They might just have the capacity to revolutionize modern electronics as we know it. Thumbnail image courtesy of Sander Kempkes. There’s a Subterranean Biosphere Hiding in the Earth’s Crust and It’s MASSIVE - https://youtu.b
From playlist Elements | Season 4 | Seeker
How to make a square snowflake
Want to make square snowflakes? Scientists have created a new type of ice they call "square ice," which forms a cube-shaped pattern, with water molecules arranged in neatly aligned rows. Scientists formed these crystals – which occur at room temperature – by squeezing tiny amounts of water
From playlist Materials and technology
Area of Koch snowflake (part 1) - advanced | Perimeter, area, and volume | Geometry | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry-volume-surface-area/koch-snowflake/v/area-of-koch-snowflake-part-1-advanced Starting to figure out the area of a Koch Snowflake (which has
From playlist Perimeter, area, and volume | Geometry | Khan Academy
Koch snowflake fractal | Perimeter, area, and volume | Geometry | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry-volume-surface-area/koch-snowflake/v/koch-snowflake-fractal A shape that has an infinite perimeter but finite area Watch the next lesson:
From playlist Perimeter, area, and volume | Geometry | Khan Academy
Fractal Snowflakes, Symmetries, and Beautiful Math Decorations
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 a
From playlist Cool Math Series
Why are all Snowflakes unique? | Sci Guide (Ep 8) | Head Squeeze
Melanie Windridge reveals what makes every snowflake different. Sci Guide: Taking a twist on the latest science and tech news, our experts unravel some bizarre sideways tangents and discuss the latest gadgets like Google Glass, how ears might give us power in the future, and reveal the l
From playlist Sci Guide - the latest science and tech news
Billiard in a von Koch snowflake fractal
Welcome to snowflake week! With winter approaching in the northern hemisphere, there will be a few von Koch snowflake fractal simulations in the next days. Mathematical billiards describe the frictionless motion of a point particle inside a domain, with perfect reflections on the sides. T
From playlist Billiards in polygons