What is...a fractal?
Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...a fractal? Or: Zooming in.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
http://www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
https://github.com/dtubbenhauer/My-Te...
Thumbnail.
https://en.wikipedia.org/wiki/File:Bl...
https://en.wikipedia.org/wiki/File:Ce...
Main discussion.
https://en.wikipedia.org/wiki/Hausdor...
https://en.wikipedia.org/wiki/Lebesgu...
https://en.wikipedia.org/wiki/Fractal...
https://en.wikipedia.org/wiki/Intrins...
https://en.wikipedia.org/wiki/Assouad...
https://en.wikipedia.org/wiki/Packing...
https://en.wikipedia.org/wiki/Assouad...
https://en.wikipedia.org/wiki/List_of...
https://www.vanderbilt.edu/AnS/psycho...
https://mathworld.wolfram.com/Hausdor...
https://www.math.uchicago.edu/~may/VI...
Background material.
https://en.wikipedia.org/wiki/Fractal...
https://en.wikipedia.org/wiki/Fractal
https://en.wikipedia.org/wiki/Space-f...
https://en.wikipedia.org/wiki/Fractal...
https://en.wikipedia.org/wiki/Weierst...
https://en.wikipedia.org/wiki/Koch_sn...
https://en.wikipedia.org/wiki/Julia_set
https://en.wikipedia.org/wiki/Menger_...
https://en.wikipedia.org/wiki/Cantor_set
https://en.wikipedia.org/wiki/Mandelb...
https://en.wikipedia.org/wiki/Logisti...
Computer talk.
https://mathworld.wolfram.com/Fractal...
https://reference.wolfram.com/languag...
https://demonstrations.wolfram.com/to...
Pictures used.
https://en.wikipedia.org/wiki/Weierst...
https://en.wikipedia.org/wiki/Koch_sn...
https://en.wikipedia.org/wiki/Julia_s...
https://en.wikipedia.org/wiki/File:Bl...
https://en.wikipedia.org/wiki/File:Ce...
https://en.wikipedia.org/wiki/List_of...
https://en.wikipedia.org/wiki/Lebesgu...
https://en.wikipedia.org/wiki/Lebesgu...
https://en.wikipedia.org/wiki/Minkows...
YouTube and co.
• Fun with Hausdorff Dimensions (Luis Brummet)
• What is Hausdorff Dimension? Intuition, Ga...
• Sierpinski's Triangle and Hausdorff Dimens...
#geometry
#fractals
#mathematics