Golden ratio | Types of quadrilaterals | Elementary geometry

Golden rectangle

In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, , which is (the Greek letter phi), where is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square from an end are golden rectangles as well. (Wikipedia).

Golden rectangle
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The Golden Ratio

This video introduces the Golden ratio and provides several examples of where the Golden ratio appears. http:mathispower4u.com

From playlist Mathematics General Interest

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What are Golden Rectangles? Geometry Terms and Definitions

Golden rectangles are considered by many to be the most beautiful of all rectangles. Consequently, this shape is used in many buildings and to frame many characters in artwork. Learn about this shape and its precise definition. Geometer: Louise McCartney Artwork: Kelly Vivanco Director

From playlist Socratica: The Geometry Glossary Series

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Demystifying the Golden Ratio (Part 1)

Part 1 of series offering a mathematical explanation of why the Golden Ratio is commonly found in nature. In this video we discuss some basic aspects of the Golden Ratio, and its relationship with the Fibonocci numbers.

From playlist Demystifying the Golden Ratio

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Golden Ratio ϕ hidden in Pentagon!

The ratio of a common diagonal and side of regular pentagon is equal to golden ratio. Golden ratio is an irrational constant in mathematics, ϕ = 1.618033... Mathematicians since Euclid have studied the properties of the golden ratio, including its appearance in the dimensions of a regula

From playlist Summer of Math Exposition Youtube Videos

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What are the properties that make up a rectangle

👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are

From playlist Properties of Rectangles

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Using the properties of rectangles to solve for x

👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are

From playlist Properties of Rectangles

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The golden rectangle | Lecture 11 | Fibonacci Numbers and the Golden Ratio

How to construct a golden rectangle using a straight edge and a compass. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1

From playlist Fibonacci Numbers and the Golden Ratio

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Determine the length of a diagonal of a rectangle

👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are

From playlist Properties of Rectangles

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An inner golden rectangle | Lecture 14 | Fibonacci Numbers and the Golden Ratio

The golden rectangle inside a golden rectangle. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1

From playlist Fibonacci Numbers and the Golden Ratio

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Spiraling squares | Lecture 12 | Fibonacci Numbers and the Golden Ratio

How to construct a sequence of spiraling squares inside of a golden rectangle. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1

From playlist Fibonacci Numbers and the Golden Ratio

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Golden Ratio – Math that our eyes love!

TabletClass Math: https://tcmathacademy.com/ Math help with the golden ratio and golden rectangles. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes:

From playlist GED Prep Videos

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The golden ratio spiral: visual infinite descent

NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) So you all know the golden (ratio) spiral. But did you know that not only the golden ratio but really ev

From playlist Recent videos

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The Silver Ratio - Numberphile

The silver ratio (and other metals) with Tony Padilla. More links & stuff in full description below ↓↓↓ Golden editions are sold out (for now) but more shirts available at https://teespring.com/stores/numberphile More Tony Padilla videos: http://bit.ly/Padilla_Numberphile Tony's Twitter:

From playlist Tony Padilla on Numberphile

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2. The Golden Ratio & Fibonacci Numbers: Fact versus Fiction

(October 8, 2012) Professor Keith Devlin dives into the topics of the golden ratio and fibonacci numbers. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: https://continuingstudies.stanfor

From playlist Lecture Collection | Mathematics: Making the Invisible Visible

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Probability 101c: Stirling's approximation

(C) 2012 David Liao lookatphysics.com CC-BY-SA Replaces unscripted drafts Approximation for n! when n is large Comparison with integral of natural logarithm

From playlist Probability, statistics, and stochastic processes

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The Golden Ratio: Nature's Favorite Number

The Golden Ratio: Nature's Favorite Number - https://aperture.gg/goldenratio Get 3 years of protection with AtlasVPN for $1.39 a month: http://atlasv.pn/Aperture Follow me on Instagram: https://www.instagram.com/mcewen/ The golden ratio is everywhere. From the smallest places known to hum

From playlist Science & Technology 🚀

Related pages

Aspect ratio | Hexagon | Convex hull | Borromean rings | Straightedge and compass construction | Pentagon | Decagon | Divina proportione | Pythagorean theorem | Golden ratio | Circumscribed circle | Logarithmic spiral | Rectangle | Icosahedron | Golden spiral | Golden angle | Euclid | Geometry | Self-similarity | Luca Pacioli