In geometry, a fractal canopy, a type of fractal tree, is one of the easiest-to-create types of fractals. Each canopy is created by splitting a line segment into two smaller segments at the end (symmetric binary tree), and then splitting the two smaller segments as well, and so on, infinitely. Canopies are distinguished by the angle between concurrent adjacent segments and ratio between lengths of successive segments. A fractal canopy must have the following three properties: 1. * The angle between any two neighboring line segments is the same throughout the fractal. 2. * The ratio of lengths of any two consecutive line segments is constant. 3. * Points all the way at the end of the smallest line segments are interconnected, which is to say the entire figure is a connected graph. The pulmonary system used by humans to breathe resembles a fractal canopy, as do trees, blood vessels, viscous fingering, electrical breakdown, and crystals with appropriately adjusted growth velocity from seed. (Wikipedia).
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From playlist research
What are fractals? Just look at your broccoli to find out! License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions
From playlist Measurement
Coding Math: Episode 40 - Fractal Trees
This time we cover a couple of different ways of creating fractal trees. Even animating them. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath
From playlist 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
mandelbrot fractal animation 5
another mandelbrot/julia fractal animation/morph.
From playlist Fractal
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/8wEX
From playlist 3D printing
Working on the Fractal Flame method for creating some Christmas trees! I'm hoping it works out before Christmas! -- Watch live at https://www.twitch.tv/simuleios
From playlist Misc
Jörg Thuswaldner: S-adic sequences: a bridge between dynamics, arithmetic, and geometry
Abstract: Based on work done by Morse and Hedlund (1940) it was observed by Arnoux and Rauzy (1991) that the classical continued fraction algorithm provides a surprising link between arithmetic and diophantine properties of an irrational number αα, the rotation by αα on the torus 𝕋=ℝ/ℤT=R/
From playlist Dynamical Systems and Ordinary Differential Equations
60 years of dynamics and number expansions - 12 December 2018
http://crm.sns.it/event/441/ 60 years of dynamics and number expansions Partially supported by Delft University of Technology, by Utrecht University and the University of Pisa It has been a little over sixty years since A. Renyi published his famous article on the dynamics of number expa
From playlist Centro di Ricerca Matematica Ennio De Giorgi
S-arithmetic Diophantine approximation - Shreyasi Datta
Special Year Informal Seminar Topic: S-arithmetic Diophantine approximation Speaker: Shreyasi Datta Affiliation: University of Michigan, Ann Arbor Date: December 02, 2022 Diophantine approximation deals with quantitative and qualitative aspects of approximating numbers by rationals. A ma
From playlist Mathematics
Harmonic measure: Algorithms and applications – Christopher Bishop – ICM2018
Analysis and Operator Algebras Invited Lecture 8.12 Harmonic measure: Algorithms and applications Christopher Bishop Abstract: This is a brief survey of results related to planar harmonic measure, roughly from Makarov’s results of the 1980’s to recent applications involving 4-manifolds,
From playlist Analysis & Operator Algebras
What is Canopy Clustering | Canopy Clustering in Mahout | Mahout Clustering Tutorial | Edureka
Watch Sample Class Recording: http://www.edureka.co/mahout?utm_source=youtube&utm_medium=referral&utm_campaign=clustering-canopy Canopy Clustering is a very simple, fast and surprisingly accurate method for grouping objects into clusters. All objects are represented as a point in a multi
From playlist Machine Learning with Mahout
MicroPython Vegetable Garden Automation Tutorial
This MicroPython project adds solar powered sensors and home automation to my vegetable garden and transmits the data using MQTT for review and control on a mobile app. My full write-up for this project: https://www.rototron.info/projects/micropython-vegetable-garden-automation-tutorial/
From playlist ESP32 MicroPython Tutorials
Simulating Turbulence Over Canopies
By improving our understanding of turbulent flow over canopies we can design better cities to improve air quality. This is just one of the applications of the work of Alfredo Pinelli, a professor at City University of London working on Large Eddy Simulations (LES) of turbulence. Interview
From playlist Fluid Dynamics
MIT RES.TLL-004 Concept Vignettes View the complete course: http://ocw.mit.edu/RES-TLL-004F13 Instructor: Ken Kamrin This video leads students through the problem solving method of dimensional analysis. In one example, students use dimensional analysis to determine the diameter of a parac
From playlist MIT STEM Concept Videos
Nalini Nadkarni: For the Love of Trees | Nat Geo Live
National Geographic grantee and forest ecologist Nalini Nadkarni is known for using nontraditional pathways to raise awareness of nature's importance to human lives, working with artists, preachers, musicians, and even prisoners. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National G
From playlist National Geographic Live!: Season 6