What is...an inverse 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...an inverse fractal? Or: Zooming out.
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.
Picture created using latex tikz
Main discussion.
https://en.wikipedia.org/wiki/Hausdor...
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://tex.stackexchange.com/questio...
https://en.wikipedia.org/wiki/Sierpi%...
https://www.holidayinsights.com/wp-co...
Picture from • What is...the drunken bird constant?
https://en.wikipedia.org/wiki/Rado_gr...
YouTube and co.
• Fun with Hausdorff Dimensions (Luis Brummet)
• What is Hausdorff Dimension? Intuition, Ga...
• Sierpinski's Triangle and Hausdorff Dimens...
#geometry
#fractals
#mathematics