Fractals

Pythagoras tree (fractal)

The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, it is named after the ancient Greek mathematician Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used to depict the Pythagorean theorem.If the largest square has a size of L × L, the entire Pythagoras tree fits snugly inside a box of size 6L × 4L. The finer details of the tree resemble the Lévy C curve. (Wikipedia).

Pythagoras tree (fractal)
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The Beauty of Fractal Geometry (#SoME2)

0:00 — Sierpiński carpet 0:18 — Pythagoras tree 0:37 — Pythagoras tree 2 0:50 — Unnamed fractal circles 1:12 — Dragon Curve 1:30 — Barnsley fern 1:44 — Question for you! 2:05 — Koch snowflake 2:26 — Sierpiński triangle 2:47 — Cantor set 3:03 — Hilbert curve 3:22 — Unnamed fractal squares 3

From playlist Summer of Math Exposition 2 videos

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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

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Symmetric Binary Trees (visual construction)

In this video, we see how to change use two parameters (scale factor and angle of rotation) to create various symmetric binary trees. We show five different examples of such trees (up to level 13). Choose your own parameters and create your own! Check out these videos for related construc

From playlist Fractals

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Trigonometry 1 Pythagorean Theorem

Discover the Theorem of Pythagoras.

From playlist Trigonometry

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mandelbrot fractal animation 5

another mandelbrot/julia fractal animation/morph.

From playlist Fractal

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Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion

In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. 00:00 Intro 07:07 Pythagorean triple tree 13:44 Pythagoras's other tree 16:02 Feuerbach miracle 24

From playlist Recent videos

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Pythagorean Trig ID via Areas (2)

Pythagorean Trig Identity via Areas. Made with #GeoGebra: https://www.geogebra.org/m/xmhyyapn

From playlist Trigonometry: Dynamic Interactives!

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What Is Beyond The Edge?

Compare news coverage. Spot media bias. Avoid algorithms. Be well informed. Download the free Ground News app at https://ground.news/HOTU -------------------------------- Researched and Written by Leila Battison Narrated and Edited by David Kelly Animations by Jero Squartini https://www.fi

From playlist The Entire History of the Universe

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How to Draw 3 Simple Fractals

Sierpinski's Triangle, Koch Snowflake and Pythagorean Tree

From playlist Exploring Mathematics: Fractals

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Fun with Fractals

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

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Koch Snowflake Fractal: Area and Perimeter Calculation

The Koch Snowflake is one of the simples fractals to construct, but yet displays some very interesting mathematical properties. In this video made for Maths Week London, we calculate the perimeter and area of the fractal leading to some rather surprising results… The perimeter is shown to

From playlist Director's Cut

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Fractal Animation Engine Live Coding

Working on the Fractal Animation Engine! Also trying out livestreaming on youtube! Discord: https://discord.gg/QctJhUA Github: https://github.com/leios Music: https://www.joshwoodward.com/

From playlist Streams

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The History of Mathematics in 300 Stamps

Oxford Mathematics Public Lectures: Robin Wilson - The History of Mathematics in 300 Stamps The entire history of mathematics in one hour, as illustrated by around 300 postage stamps featuring mathematics and mathematicians from across the world. From Euclid to Euler, from Pythagoras to

From playlist Oxford Mathematics Public Lectures

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Wau: The Most Amazing, Ancient, and Singular Number

What other amazing properties of Wau can you think of? Leave them in the comments. My personal website, which you might like: http://vihart.com

From playlist Doodling in Math and more | Math for fun and glory | Khan Academy

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Christina Wallace's Ignite Presentation: "My Favorite Irrational Number - Phi"

From Foo Camp 2014, Christina Wallace 5-minute presentation on the sexiest irrational numbers, and what makes phi her favorite. Watch more Ignite presentations from Foo Camp 2014: http://goo.gl/fKLn1A Don't miss an upload! Subscribe! http://goo.gl/szEauh Stay Connected to O'Reilly Media b

From playlist Foo Camp 2014 - Ignite Presentations

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Steven Strogatz: In and out of love with math | 3b1b podcast #3

Steven Strogatz, an applied mathematician at Cornell, is a prominent figure in the field of nonlinear dynamics and chaos, and a widely beloved popularizer of math. Episode sponsor: https://brilliant.org/3b1b Brilliant is a great site/app for being more active in learning math. Note from S

From playlist 3b1b Podcast (reverse order)

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mandelbrot fractal animation 3

red and green.

From playlist Fractal

Related pages

Pythagoras | Iteration | Mathematics | Right triangle | Pythagorean theorem | Fractal | Plane (geometry) | Lévy C curve | Rhombitrihexagonal tiling | Recursion