The Fractal Dimension of Architecture is a book that applies the mathematical concept of fractal dimension to the analysis of the architecture of buildings. It was written by Michael J. Ostwald and Josephine Vaughan, both of whom are architecture academics at the University of Newcastle (Australia); it was published in 2016 by Birkhäuser, as the first volume in their Mathematics and the Built Environment book series. (Wikipedia).
Dimensions (1 of 3: The Traditional Definition - Directions)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
Fractals are typically not self-similar
An explanation of fractal dimension. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/fractals-thanks And by Affirm: https://www.affirm.com/careers H
From playlist Explainers
Dimensions (2 of 3: A More Flexible Definition - Scale Factor)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
In this video, I define a neat concept called the fractal derivative (which shouldn't be confused with fractional derivatives). Then I provide a couple of examples, and finally I present an application of this concept to the study of anomalous diffusion in physics. Enjoy!
From playlist Calculus
Dimensions (3 of 3: Fractal Dimensions)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
Summer of math exposition submission- fractal calculus
Fractal Calculus
From playlist Summer of Math Exposition Youtube Videos
Tallest Buildings In History To Scale (1 pixel = 1 meter)
Top 10 tallest buildings in history over time (3200BC to 2021) using to-scale building images where 1 pixel on the screen is equal to 1 meter when viewed in full 1080p quality. Building height for this video is generally "architectural height", meaning the tallest of roof & spire height.
From playlist Data Visualizations
mandelbrot fractal animation 5
another mandelbrot/julia fractal animation/morph.
From playlist Fractal
Festive Fractals - Computerphile
Fractals aren't just fascinating computer generated patterns, they could also be the key to future computer architecture. Professor Phil Moriarty explains. More from Phil on Sixty Symbols: bit.ly/C_SixtySym Silicon brain: https://youtu.be/2e06C-yUwlc Thanks to Noah Hardwicke for the Chr
From playlist Professor Moriarty - Sixty Symbols
AMMI Course "Geometric Deep Learning" - Lecture 4 (Geometric Priors II) - Joan Bruna
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July-August 2021 by Michael Bronstein (Imperial College/Twitter), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 4: Invariant function classes
From playlist AMMI Geometric Deep Learning Course - First Edition (2021)
Why are we drawn to symmetry? Because it provides order in a seemingly chaotic world? Because our brains are the product of the very same laws that yield the flower, the snowflake and the solar system? Because evolution selects for structures with symmetry? In this Salon, we will ask an in
From playlist Deeper Dives 2016
AI Weekly Update - March 29th, 2021 (#30)!
Thank you for watching! Please Subscribe! Content Links: Recursive Classification: https://ai.googleblog.com/2021/03/recursive-classification-replacing.html Industrial Assembly via RL: https://arxiv.org/pdf/2103.11512.pdf Model-based RL in Healthcare: https://twitter.com/christina_x_ji/st
From playlist AI Research Weekly Updates
Chaos games and fractals Day 1
Working on Iterated Function Systems! -- Watch live at https://www.twitch.tv/simuleios
From playlist Fractal
IDEAS Lecture: How Do You Like Your Materials - J. Greer - 2/23/2021
"How Do You Like Your Materials – with Multi-functionality and Reconfigurability or Just Lightweight? Additive Manufacturing of 3D-Architected Materials," presented by Professor Julia R. Greer, the Ruben F. and Donna Mettler Professor of Materials Science, Medical Engineering, and Mechanic
From playlist IDEAS Lecture Series
In Lecture 9 we discuss some common architectures for convolutional neural networks. We discuss architectures which performed well in the ImageNet challenges, including AlexNet, VGGNet, GoogLeNet, and ResNet, as well as other interesting models. Keywords: AlexNet, VGGNet, GoogLeNet, ResNe
From playlist Lecture Collection | Convolutional Neural Networks for Visual Recognition (Spring 2017)
Craig Kaplan - Parquet Deformations: the tiles, they are a-changin - CoM Apr 2021
A Parquet Deformation is a tessellation that evolves gradually in space, a kind of animation expressed in a single drawing. William Huff developed Parquet Deformations and used them as an exercise for architecture and design students for decades. For a computer scientist, they also represe
From playlist Celebration of Mind 2021
The Newton Fractal Explained | Deep Dive Maths
A Newton fractal is obtained by iterating Newton's method to find the roots of a complex function. The iconic picture of this fractal is what I call The Newton Fractal, and is generated from the function f(z)=z^3-1, whose roots are the three cube roots of unity. What is the history of th
From playlist Deep Dive Maths
Offloading & CUDA: Parallelism in C++ #3/3 (also OpenMP, OpenACC, GPU & Coprocessors like Xeon Phi)
Computer programs can be made faster by making them do many things simultaneously. Let’s study three categorical ways to accomplish that in GCC. In the third episode, we study ways to offload code to various accelerators such as GPU on a graphics card. We also explore CUDA. The previous e
From playlist Programming