Golden spiral
In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes. (Wikipedia).
In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes. (Wikipedia).
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
The golden spiral | Lecture 13 | Fibonacci Numbers and the Golden Ratio
How to construct a golden spiral 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
Fibonacci numbers in nature | Lecture 16 | Fibonacci Numbers and the Golden Ratio
How to see Fibonacci numbers in the head of a sunflower. 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
YOUR FAVORITE NUMBER as the ARC LENGTH of the GOLDEN SPIRAL
Fun Example 5: [Calc 2 - Integration Techniques and Applications] In this example, we use the arc length formula on a curve graphed in polar coordinates. We will find that this is equal to YOUR FAVORITE NUMBER! The featured curve is the golden spiral, though it is presented with an ar
From playlist Fun Examples
This video introduces the Golden ratio and provides several examples of where the Golden ratio appears. http:mathispower4u.com
From playlist Mathematics General Interest
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
What would a nautilus look like if it actually was a golden spiral?
From playlist Odds and Ends
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
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
The Golden Ratio: Is It Myth or Math?
PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateOKAY ↓ More info and sources below ↓ We’re on PATREON! Join the community ►► https://www.patreon.com/itsokaytobesmart SUBSCRIBE so you don’t miss a video! ►► http://bit.ly/iotbs_sub
From playlist Be Smart - LATEST EPISODES!
The Fibonacci spiral | Lecture 15 | Fibonacci Numbers and the Golden Ratio
How to construct a Fibonacci spiral. 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
This video introduces the Fibonacci sequence and provides several examples of where the Fibonacci sequence appear in nature. http:mathispower4u.com
From playlist Mathematics General Interest
The growth of a sunflower | Lecture 19 | Fibonacci Numbers and the Golden Ratio
A model for a growing sunflower that demonstrates why the Fibonacci numbers appear in a sunflower's head. 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/jcha
From playlist Fibonacci Numbers and the Golden Ratio
Comparing 7 pinball configurations with parallel incoming particles
This is a variant of the simulation https://youtu.be/b4hIUFSyjnY with a different initial configuration, which should allow for a fairer comparison: instead of being shot from a single point in different directions, 1000 particles start in the same direction, with slightly different initia
From playlist Particles in billiards
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
