The Golden ratio, Silver ratio and their family( Metallic Ratios ) | mathocube |

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in this video, we are going to learn about the Golden ratio, Silver ratio, Bronze ratio and their family (Metallic Ratios)
0:00 Golden Rectangle
0:50 Golden Spiral
1:26 Value of Golden Ratio
1:55 Silver Ratio
2:05 Metallic Ratios
3:03 Value of Metallic Ratios
3:33 Pentagon and Octagon
3:47 Continued Fractions
So don't forget to watch till the end 🤗🤗
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if you have any questions you can ask me in comments.
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Can all metalic ratios be represented in form of trigonometry functions like that at 3:13 and 3:21? If so then what pattern they follow? Like in the end all metallic ratios are represented as infinite fractions and they also have very nice pattern... By the way amazing video 😍👌

harshsharma
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Awesome and informative video. Also plz make a video on SuperGolden Ratio....

pruthakjani
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was really amazing. I have seen many videos on golden ratio....but i have never knew about silver also the infinite fraction representation on the different metallic ratios were up the good work brother

chotabacha
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Sir, your voice is like music to my ears ❤️, i was really bad at math, thanks to you I'm getting better at it. Your videos are always impressive and out of the world. I really love your videos, big fan❤️🙌

simrandhimann
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Hey man!! Is this the mathematical representation of the golden ratio by which reality exists(as per theories).

RohanKumar-dmhi
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Qué bien. Solo faltó visualizar los Ratios como radicales infinitos. Saludos 😃

ultracreador
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How do you edit your video?
What do you use?

mindfuel-vceo
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Me as a intellectual estimate golden ratio by taking ratio of fibonacci series 😉

addy
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I just came here cuz i heard a fellow artist mention the silver ratio but now mom come pick me up i am scared..

hebalowshy
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Golden ratio: pentagon, 1st diagonal/side
Silver ratio: octagon, 2nd diagonal/side
Bronze ratio: 13-Gon, 3rd diagonal/side
Copper ratio: 20-Gon, 4th diagonal/side
As you continue, you eventually reach the circle and the diameter!!!
Now what is on the other side of the spectrum? The so called Platinum ratio=1. Can you see it?
Simpler than you think!

pvdguitars