-
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: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/v/triangle-inqequality-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned ...
published: 30 Sep 2011
-
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 be infinite, whilst the area remains constant.
The first part of the video on perimeter is designed for Key Stage 4 students (14-16 years old), whilst the second part on area is designed for Key Stage 5 students (16-18 years old) and above. All ages should be able to follow the instructions to construct their own Koch snowflake fractal at home.
Fractals and the Koch Snowflake 0:00
Perimeter calculation 6:00
Area calculation 14:30
Produced by Dr Tom Crawford at the University of Oxford.
With thanks t...
published: 24 Jun 2020
-
A Koch Snowflake Made of Koch Snowflakes
The lines are kind of just construction lines but the holes are Koch Snowflakes, but it is also a self similar fractal overall. Very satisfying.
published: 20 Mar 2018
-
koch snowflake zoom
koch snowflake zoom xaos and camtasia - educational purposes
published: 11 Mar 2012
-
2D fractal: Koch snowflake
Animation of how the Koch snowflake is growing.
FHD 1920x1080 60 fps.
18 seconds video (1080 frames).
published: 27 Nov 2022
-
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 an infinite perimeter)
Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-koch-snowflake-part-2-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these thing...
published: 05 Oct 2011
-
Koch Curve: The Beauty of Fractal Geometry
The Koch curve is a fractal curve constructed by recursively adding smaller equilateral triangles to each side of an initial equilateral triangle, resulting in an infinitely complex, self-similar shape. At each stage of construction, the curve has a finite length, but its total length becomes infinite as the number of iterations approaches infinity. The Koch curve stands out among other geometric shapes for its self-similarity and fractional dimension.
This video features animations to illustrate the step-by-step construction of the Koch curve with increasing complexity and explore its intriguing properties, underlying the mathematical beauty of fractal geometry.
This video is produced with the animation engine Manim.
Manim — Mathematical Animation Framework. https://www.manim.community...
published: 14 Feb 2022
-
The Koch Snowflake
Can you imagine a shape whose perimeter is arbitrarily large and yet the area enclosed is finite? This video shows you how to do it. the shape is called the Koch Snowflake and is an example of a fractal.
published: 17 Dec 2018
-
Koch Snowflake: Perimeter
Fractal Playlist: https://www.youtube.com/playlist?list=PL2V76rajvC1KGSP7OZYtuIvp-oZk4vz8h
This video continues with the Koch Snowflake, named after the Swedish mathematician Helge Von Koch. The shape has an infinite perimeter but a finite area.
This video focuses on finding the perimeter of the snowflake by looking at the perimeter after each step of the iteration process and noticing a pattern. Once the pattern is noticed, the question can be asked of what happens to the formula for the perimeter as the number of steps carried out in the iteration approaches infinity.
This fractal is formed by starting with an equilateral triangle and carrying out a simple process known as iteration infinitely many times. Each step of the process cuts the sides of the triangle into three equal pieces...
published: 09 Nov 2022
-
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 fractals here: https://www.pinterest.com/mitk12videos/what-is-a-fractal-and-what-are-they-good-for/
----------
Find us online!
Facebook: http://www.facebook.com/MITK12
Twitter: http://www.twitter.com/MITK12Videos
http://k12videos.mit.edu
----------
made with love at MIT
Creative Commons: CC BY-NC-SA, MIT
http://k12videos.mit.edu/terms-and-conditions
Hosted by: Yuliya Klochan
Written by: Elizabeth Choe & Yuliya Klochan
Additional Scripting by: George Zaidan
Content Reviewer: Dr. Kwang Don Choe
Executive Pr...
published: 11 Jun 2015
9:12
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-sur...
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: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/v/triangle-inqequality-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/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: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/v/triangle-inqequality-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 30 Sep 2011
- views: 254151
29:24
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 Wee...
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 be infinite, whilst the area remains constant.
The first part of the video on perimeter is designed for Key Stage 4 students (14-16 years old), whilst the second part on area is designed for Key Stage 5 students (16-18 years old) and above. All ages should be able to follow the instructions to construct their own Koch snowflake fractal at home.
Fractals and the Koch Snowflake 0:00
Perimeter calculation 6:00
Area calculation 14:30
Produced by Dr Tom Crawford at the University of Oxford.
With thanks to Maths Week London, Yami89 and Burt Gulash.
For more maths content check out Tom's website https://tomrocksmaths.com/
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
https://www.facebook.com/tomrocksmaths/
https://twitter.com/tomrocksmaths
https://www.instagram.com/tomrocksmaths/
Tom Rocks Maths logo by Nathanial Butt:
https://www.instagram.com/nat_von_b/?hl=en
Get your Tom Rocks Maths merchandise here:
https://beautifulequations.net/collections/tom-rocks-maths
https://wn.com/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 be infinite, whilst the area remains constant.
The first part of the video on perimeter is designed for Key Stage 4 students (14-16 years old), whilst the second part on area is designed for Key Stage 5 students (16-18 years old) and above. All ages should be able to follow the instructions to construct their own Koch snowflake fractal at home.
Fractals and the Koch Snowflake 0:00
Perimeter calculation 6:00
Area calculation 14:30
Produced by Dr Tom Crawford at the University of Oxford.
With thanks to Maths Week London, Yami89 and Burt Gulash.
For more maths content check out Tom's website https://tomrocksmaths.com/
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
https://www.facebook.com/tomrocksmaths/
https://twitter.com/tomrocksmaths
https://www.instagram.com/tomrocksmaths/
Tom Rocks Maths logo by Nathanial Butt:
https://www.instagram.com/nat_von_b/?hl=en
Get your Tom Rocks Maths merchandise here:
https://beautifulequations.net/collections/tom-rocks-maths
- published: 24 Jun 2020
- views: 27478
0:23
A Koch Snowflake Made of Koch Snowflakes
The lines are kind of just construction lines but the holes are Koch Snowflakes, but it is also a self similar fractal overall. Very satisfying.
The lines are kind of just construction lines but the holes are Koch Snowflakes, but it is also a self similar fractal overall. Very satisfying.
https://wn.com/A_Koch_Snowflake_Made_Of_Koch_Snowflakes
The lines are kind of just construction lines but the holes are Koch Snowflakes, but it is also a self similar fractal overall. Very satisfying.
- published: 20 Mar 2018
- views: 5321
1:20
koch snowflake zoom
koch snowflake zoom xaos and camtasia - educational purposes
koch snowflake zoom xaos and camtasia - educational purposes
https://wn.com/Koch_Snowflake_Zoom
koch snowflake zoom xaos and camtasia - educational purposes
- published: 11 Mar 2012
- views: 100334
0:19
2D fractal: Koch snowflake
Animation of how the Koch snowflake is growing.
FHD 1920x1080 60 fps.
18 seconds video (1080 frames).
Animation of how the Koch snowflake is growing.
FHD 1920x1080 60 fps.
18 seconds video (1080 frames).
https://wn.com/2D_Fractal_Koch_Snowflake
Animation of how the Koch snowflake is growing.
FHD 1920x1080 60 fps.
18 seconds video (1080 frames).
- published: 27 Nov 2022
- views: 2389
12:30
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-sur...
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 an infinite perimeter)
Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-koch-snowflake-part-2-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/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 an infinite perimeter)
Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-koch-snowflake-part-2-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Missed the previous lesson?
https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry
Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Geometry channel:
https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 05 Oct 2011
- views: 104457
7:30
Koch Curve: The Beauty of Fractal Geometry
The Koch curve is a fractal curve constructed by recursively adding smaller equilateral triangles to each side of an initial equilateral triangle, resulting in ...
The Koch curve is a fractal curve constructed by recursively adding smaller equilateral triangles to each side of an initial equilateral triangle, resulting in an infinitely complex, self-similar shape. At each stage of construction, the curve has a finite length, but its total length becomes infinite as the number of iterations approaches infinity. The Koch curve stands out among other geometric shapes for its self-similarity and fractional dimension.
This video features animations to illustrate the step-by-step construction of the Koch curve with increasing complexity and explore its intriguing properties, underlying the mathematical beauty of fractal geometry.
This video is produced with the animation engine Manim.
Manim — Mathematical Animation Framework. https://www.manim.community
Manim Animation
https://link.curiouswalk.com/manim
Thanks for watching.
🔗 https://www.curiouswalk.com
✉️
[email protected]
https://wn.com/Koch_Curve_The_Beauty_Of_Fractal_Geometry
The Koch curve is a fractal curve constructed by recursively adding smaller equilateral triangles to each side of an initial equilateral triangle, resulting in an infinitely complex, self-similar shape. At each stage of construction, the curve has a finite length, but its total length becomes infinite as the number of iterations approaches infinity. The Koch curve stands out among other geometric shapes for its self-similarity and fractional dimension.
This video features animations to illustrate the step-by-step construction of the Koch curve with increasing complexity and explore its intriguing properties, underlying the mathematical beauty of fractal geometry.
This video is produced with the animation engine Manim.
Manim — Mathematical Animation Framework. https://www.manim.community
Manim Animation
https://link.curiouswalk.com/manim
Thanks for watching.
🔗 https://www.curiouswalk.com
✉️
[email protected]
- published: 14 Feb 2022
- views: 13535
1:18
The Koch Snowflake
Can you imagine a shape whose perimeter is arbitrarily large and yet the area enclosed is finite? This video shows you how to do it. the shape is called the Koc...
Can you imagine a shape whose perimeter is arbitrarily large and yet the area enclosed is finite? This video shows you how to do it. the shape is called the Koch Snowflake and is an example of a fractal.
https://wn.com/The_Koch_Snowflake
Can you imagine a shape whose perimeter is arbitrarily large and yet the area enclosed is finite? This video shows you how to do it. the shape is called the Koch Snowflake and is an example of a fractal.
- published: 17 Dec 2018
- views: 414
10:02
Koch Snowflake: Perimeter
Fractal Playlist: https://www.youtube.com/playlist?list=PL2V76rajvC1KGSP7OZYtuIvp-oZk4vz8h
This video continues with the Koch Snowflake, named after the Swedis...
Fractal Playlist: https://www.youtube.com/playlist?list=PL2V76rajvC1KGSP7OZYtuIvp-oZk4vz8h
This video continues with the Koch Snowflake, named after the Swedish mathematician Helge Von Koch. The shape has an infinite perimeter but a finite area.
This video focuses on finding the perimeter of the snowflake by looking at the perimeter after each step of the iteration process and noticing a pattern. Once the pattern is noticed, the question can be asked of what happens to the formula for the perimeter as the number of steps carried out in the iteration approaches infinity.
This fractal is formed by starting with an equilateral triangle and carrying out a simple process known as iteration infinitely many times. Each step of the process cuts the sides of the triangle into three equal pieces and replaces the middle piece with an equilateral triangle (without the inner side).
Fractals appear in many different areas of nature, including lightning, river systems, the nervous and circulatory systems, trees, clouds, coastlines, and so on. Natural fractals have demonstrate self similarity throughout many orders of magnitude but only purely mathematical objects, like the Koch Snowflake or the Sierpinski triangle, show infinite self similarity.
EulersAcademy.org
https://wn.com/Koch_Snowflake_Perimeter
Fractal Playlist: https://www.youtube.com/playlist?list=PL2V76rajvC1KGSP7OZYtuIvp-oZk4vz8h
This video continues with the Koch Snowflake, named after the Swedish mathematician Helge Von Koch. The shape has an infinite perimeter but a finite area.
This video focuses on finding the perimeter of the snowflake by looking at the perimeter after each step of the iteration process and noticing a pattern. Once the pattern is noticed, the question can be asked of what happens to the formula for the perimeter as the number of steps carried out in the iteration approaches infinity.
This fractal is formed by starting with an equilateral triangle and carrying out a simple process known as iteration infinitely many times. Each step of the process cuts the sides of the triangle into three equal pieces and replaces the middle piece with an equilateral triangle (without the inner side).
Fractals appear in many different areas of nature, including lightning, river systems, the nervous and circulatory systems, trees, clouds, coastlines, and so on. Natural fractals have demonstrate self similarity throughout many orders of magnitude but only purely mathematical objects, like the Koch Snowflake or the Sierpinski triangle, show infinite self similarity.
EulersAcademy.org
- published: 09 Nov 2022
- views: 5137
4:13
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 proper...
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 fractals here: https://www.pinterest.com/mitk12videos/what-is-a-fractal-and-what-are-they-good-for/
----------
Find us online!
Facebook: http://www.facebook.com/MITK12
Twitter: http://www.twitter.com/MITK12Videos
http://k12videos.mit.edu
----------
made with love at MIT
Creative Commons: CC BY-NC-SA, MIT
http://k12videos.mit.edu/terms-and-conditions
Hosted by: Yuliya Klochan
Written by: Elizabeth Choe & Yuliya Klochan
Additional Scripting by: George Zaidan
Content Reviewer: Dr. Kwang Don Choe
Executive Producer & Doodles: Elizabeth Choe
Director: George Zaidan
Camera: Adam Morrell
Editor & Motion Graphics: Per Hoel
Theme song: Anthony Thomas & Neil Aggarwal
Music: “Unanswered Questions” by Kevin Macleod (http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1200025)
Fractals in nature pictures: http://commons.wikimedia.org/wiki/File:Mandelriver.jpg and https://theyinfactor.files.wordpress.com/2013/06/236085main_milkyway-full.jpg (NASA/JPL-Caltech) and http://en.wikipedia.org/wiki/User:Tchock00 and http://upload.wikimedia.org/wikipedia/commons/d/db/Lightning_over_Oradea_Romania_cropped.jpg
Menger Sponge visualization from https://www.youtube.com/watch?v=hHsFUmMFIX0
DNA chromatin fractal globule visualization courtesy of Maxim Imakaev and the Mirny Lab at MIT (http://mirnylab.mit.edu/)
Special thanks:
MIT Radio Club, Prof. John Essignmann & Ellen Essignmann, Dr. Kwang Don Choe, Max Imakaev
https://wn.com/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 fractals here: https://www.pinterest.com/mitk12videos/what-is-a-fractal-and-what-are-they-good-for/
----------
Find us online!
Facebook: http://www.facebook.com/MITK12
Twitter: http://www.twitter.com/MITK12Videos
http://k12videos.mit.edu
----------
made with love at MIT
Creative Commons: CC BY-NC-SA, MIT
http://k12videos.mit.edu/terms-and-conditions
Hosted by: Yuliya Klochan
Written by: Elizabeth Choe & Yuliya Klochan
Additional Scripting by: George Zaidan
Content Reviewer: Dr. Kwang Don Choe
Executive Producer & Doodles: Elizabeth Choe
Director: George Zaidan
Camera: Adam Morrell
Editor & Motion Graphics: Per Hoel
Theme song: Anthony Thomas & Neil Aggarwal
Music: “Unanswered Questions” by Kevin Macleod (http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1200025)
Fractals in nature pictures: http://commons.wikimedia.org/wiki/File:Mandelriver.jpg and https://theyinfactor.files.wordpress.com/2013/06/236085main_milkyway-full.jpg (NASA/JPL-Caltech) and http://en.wikipedia.org/wiki/User:Tchock00 and http://upload.wikimedia.org/wikipedia/commons/d/db/Lightning_over_Oradea_Romania_cropped.jpg
Menger Sponge visualization from https://www.youtube.com/watch?v=hHsFUmMFIX0
DNA chromatin fractal globule visualization courtesy of Maxim Imakaev and the Mirny Lab at MIT (http://mirnylab.mit.edu/)
Special thanks:
MIT Radio Club, Prof. John Essignmann & Ellen Essignmann, Dr. Kwang Don Choe, Max Imakaev
- published: 11 Jun 2015
- views: 692592