Paper folding | L-systems | Fractal curves
A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems. The dragon curve is probably most commonly thought of as the shape that is generated from repeatedly folding a strip of paper in half, although there are other curves that are called dragon curves that are generated differently. (Wikipedia).
The Dragon Curve (visual construction; plane tiling)
In this video, we see how to create the Heighway Dragon (also called the Dragon Curve) using a simple procedure of replacing line segments by two line segments (that would form the legs of a right equilateral triangle with hypotenuse given by the original segment) and alternating the direc
From playlist Fractals
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/8s3G This design is based on an idea originally due to Geoffrey Irving (http://naml.us/~irving/).
From playlist 3D printing
Simplicity making complexity. In one word: Emergence. The famous Dragon curve is a fractal. As there are many ways to describe the process to draw it, one of them is explained through folding and unfolding a piece of paper. What if this paper is a line, that could be infinitely unfolded.
From playlist Artsy things
Beautiful Dragon Curves, Fractals and Jurassic Park. Featuring Rob Eastaway. More links & stuff in full description below ↓↓↓ Rob's website: http://www.robeastaway.com/ Thanks to Matthew Ward and Faraz Barzideh who helped Brady out with some curves! The book Jurassic Park is by the late
From playlist Dragon Curve on Numberphile
Walking the Dragon and Koch Curves with a Turtle (131072 steps each!)
In this video, we describe two how to draw two amazing curves - the Dragon curve and the Koch curve - using the simple process of Turtle graphics. For both curves, we draw 131072 line segments (this is 2 to the 17th power). It is amazing that such a simple process can draw these complex cu
From playlist Fractals
Taking the Dragon Curve for a Walk
Here we create the Dragon curve using the turtle graphics approach. #math #fractal #manim To see an even larger version of the Dragon created using Turtle graphics, see this video: https://youtu.be/8Q_zuRKKh2g
From playlist Fractals
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/k2kv
From playlist 3D printing
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
Bill Gosper - The Dragon Function is Way Cooler than the Dragon Curve - G4G14 Apr 2022
To view the PDF conclusion of the presentation go to: https://www.gathering4gardner.org/g4g14gift/G4G14-BillGosper-PresentationFollowup-Apr2022.pdf To view Bill's animation go to: https://www.gathering4gardner.org/g4g14gift/G4G14-BillGosper-Annimation.gif Particularly in the recreational
From playlist G4G14 Videos
Space-Filling Curves - Numberphile
Henry Segerman shows us some 3D-printed space-filling curves, including the Hilbert Curve and Dragon Curve. More links & stuff in full description below ↓↓↓ Check Henry's book about 3D printing math: http://amzn.to/2cWhY3R More Henry videos: http://bit.ly/Segerman_Videos Dragon Curve vide
From playlist Dragon Curve on Numberphile
Wrong Turn on the Dragon - Numberphile
The legendary Don Knuth on the Dragon Curve and learning from his mistakes. More links & stuff in full description below ↓↓↓ Reddit discussion: http://redd.it/2qt0f4 More Dragon Curve: http://bit.ly/DragonList Don Knuth's book "Selected Papers on Fun and Games" has an excellent chapter g
From playlist Dragon Curve on Numberphile
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/8pkP
From playlist 3D printing
Doodling in Math Class: Dragon Dungeons
This is day 2 of logarithms class. Day 1 is here: http://www.youtube.com/watch?v=EdyociU35u8 You can download this video via torrent, if you want. It is CC BY-NC-SA. magnet:?xt=urn:btih:E83E39F0F58171219C3EFAA0B54B4338E02D8049&dn=Doodling_Dragon_Dungeons_ViHart.mp4&tr=udp%3a%2f%2ftracker
From playlist Doodling in Math and more | Math for fun and glory | Khan Academy
Bridges 2014 JMA talk: Developing fractal curves
This is a talk I gave in the "Journal of Mathematics and the Arts" session at the Bridges conference on mathematics and the arts (http://bridgesmathart.org/), on 17th August 2014, about my paper with Geoffrey Irving with the same title. The slides are available at https://www.math.okstate.
From playlist 3D printing
Dragon Ball Power Levels Over Time (1 Second = 1 Episode)
This is an animated bar race plot showing the top 10 character power levels in the Dragon Ball anime series from Dragon Ball episode 1 through Dragon Ball Super episode 131. Subscribe: ► https://www.youtube.com/c/DataDaft?sub_confirmation=1 **UPDATE** Watch the Remastered version here! h
From playlist Data Visualizations