Space-filling curve

Picture to line with Hilbert Curve

From playlist Space filling curves

Sierpinski's triangle as a fractal curve

From playlist Space filling curves

Hilbert's curve slowly eating the square

From playlist Space filling curves

Triangle filling curve

From playlist Space filling curves

Peano curve eating the square

From playlist Space filling curves

Fractal charm: Space filling curves

A montage of space-filling curves meant as a supplement to the Hilbert curve video. https://youtu.be/3s7h2MHQtxc These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://

From playlist 3Blue1Brown | Math for fun and glory | Khan Academy

Flow Snake filling space

From playlist Space filling curves

Space Filling Graph 1

This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/Xer

From playlist 3D printing

Space-Filling Curves (2 of 4: Hilbert Curve)

More resources available at www.misterwootube.com

From playlist Exploring Mathematics: Fractals

Hilbert's Curve: Is infinite math useful?

Space-filling curves, and the connection between infinite and finite math. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com Supplement with more space-filling cu

From playlist Explainers

Robert YOUNG - Quantifying nonorientability and filling multiples of embedded curves

Abstract: https://indico.math.cnrs.fr/event/2432/material/17/0.pdf

From playlist Riemannian Geometry Past, Present and Future: an homage to Marcel Berger

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

Douglas McKenna - Half-Domino Curves in an Interactive Math Book - G4G14 Apr 2022

The well-known Hilbert Curve, with its non-fractal square boundary, turns out to be a special case of a larger class of space-filling curves of unit area called "half-domino" curves. These are also tiles in the limit, but with infinitely long, almost-everywhere linear boundaries that are b

From playlist G4G14 Videos

Cannon-Thurston maps: naturally occurring space-filling curves

Saul Schleimer and I attempt to explain what a Cannon-Thurston map is. Thanks to my brother Will Segerman for making the carvings, and to Daniel Piker for making the figure-eight knot animations. I made the animation of the (super crinkly) surface using our app (with Dave Bachman) for coh

From playlist GPU shaders

Scott Sheffield: Universal Randomness in 2D

Abstract: I will give a fairly broad overview of recent work in conformal probability, including relationships between random fractal curves, 2D quantum gravity surfaces, continuum random trees, Gaussian free fields, and other objects inspired by problems in physics. Lecture starts at 2:

From playlist Abel in... [Lectures]

J. Fine - Knots, minimal surfaces and J-holomorphic curves (version temporaire)

I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

J. Fine - Knots, minimal surfaces and J-holomorphic curves

I will describe work in progress, parts of which are joint with Marcelo Alves. Let L be a knot or link in the 3-sphere. I will explain how one can count minimal surfaces in hyperbolic 4-space which have ideal boundary equal to L, and in this way obtain a knot invariant. In other words the

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

The Liouville conformal field theory quantum zipper - Morris Ang

Probability Seminar Topic: The Liouville conformal field theory quantum zipper Speaker: Morris Ang Affiliation: Columbia University Date: February 17, 2023 Sheffield showed that conformally welding a γ-Liouville quantum gravity (LQG) surface to itself gives a Schramm-Loewner evolution (

From playlist Mathematics

What is Length Contraction?

What is length contraction? Length contraction gives the second piece (along with time dilation) of the puzzle that allows us to reconcile the fact that the speed of light is constant in all reference frames.

From playlist Relativity