How are Fibonacci Sequence and the Golden Ratio Related? If you take any two successive Fibonacci numbers, their ratio is very close to the Golden ratio.

🔔 Watch Math in the Modern World Nature and Arts Playlist: https://bit.ly/3q1C5kZ

⏲️ Timestamps ⏲️
Introduction' (0:00)
Definition of Fibonacci Sequence (1:25)
Definition of Golden Ratio (6:27)
Fibonacci Spiral and the Golden Ratio (9:47)
Binet's Formula for Fibonacci Sequence (12:12)
The Golden ratio and Fibonacci sequence in nature and the arts (14:40)

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In this video lesson, we are going to talk about transformation and symmetry. This is one of the topics in Math in the Modern World Patterns 🔔 Watch Math in Nature and Arts Playlist: https://bit.ly/3q1C5kZ⏲️ Timestamps ⏲️Introduction: (0:00)What is a transformation (3:21)What is Translation? (3:33)What is Reflection Symmetry (3:55)What is a Rotational Symmetry (4:19)What is Dilation (5:09)What is an isometry (5:34)What is symmetry (9:12)Designs and patterns in mathematics (10:53)Types of symmetries (11:50)Want to watch more videos like this?📺 SUBSCRIBE to my channel here: http://bit.ly/mathhubtv🌐 Website: https://mathhubtutorial.com/mathvideotutorials/👍 Facebook: https://www.facebook.com/mathhubtutorials🐦Twitter: https://twitter.com/mathhub303 🙋‍♂️ Have questions? I'm here to help you learn your math courses in an easy way. Leave a comment below and I will try to answer it as soon as I can. You can also leave topics that you need help with and I will create those videos for you.

What are fractals?
A fractal is a never-ending pattern that has self-similarity. This is one of the topics in math in the modern world nature and arts.

⏲️ Timestamps ⏲️
Introduction: (0:00)
What are fractals (9:41)
Self-similarity of Fractals (14:52)
How to compute Fractal dimension (15:41)
Formula of fractal dimension (22:55)
Examples of fractals (28:58)
Fractals in nature (38:12)
Fractals in architecture (39:20)
Fractals in arts (39:30)

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Historian and primary researcher Professor Manu Ampim visited Google Mountain View to discuss "Classical African Contributions to the World in Math & Science." From the origins of Pythagorean's theorem to monuments in our Nation's capital, his presentation demonstrates the importance and legacy of world contributions from Classical African Civilizations to the fields of writing, engineering, mathematics and medicine as we know them today. This event took place on March 20, 2014.

Presented by Ron Eglash; co-hosted by the University of Michigan School of Information and the Library of Michigan; project made possible in part by the University of Michigan School of Information. For an audio transcript of this video, please visit https://drive.google.com/open?....id=13y47iQrviZN-oFX7 .

This video will explore African fractals in various contexts such as textile, hair styles and architecture.

#Africanmathematics#Africanarchitecture#Africanbraids#Kubacloth#
Ethnomathematics#Ndebele

From simple alphabets to secret symbolic languages, graphic designer Saki Mafundikwa celebrates the many forms of written communication across the continent of Africa. He highlights the history and legacy that are embodied in written words and symbols, and urges African designers to draw on these graphic forms for fresh inspiration. It's summed up in his favorite Ghanaian glyph, Sankofa, which means "return and get it" -- or "learn from the past."

TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes (or less). Look for talks on Technology, Entertainment and Design -- plus science, business, global issues, the arts and much more.
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Designing for Generative Justice

http://www.ted.com "I am a mathematician, and I would like to stand on your roof." That is how Ron Eglash greeted many African families he met while researching the fractal patterns hed noticed in villages across the continent.

TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers are invited to give the talk of their lives in 18 minutes -- including speakers such as Jill Bolte Taylor, Sir Ken Robinson, Hans Rosling, Al Gore and Arthur Benjamin. TED stands for Technology, Entertainment, and Design, and TEDTalks cover these topics as well as science, business, politics and the arts. Watch the Top 10 TEDTalks on TED.com, at
http://www.ted.com/index.php/talks/top10

Extra dimensions of space—the idea that we are immersed in hyperspace—may be key to explaining the fundamental nature of the universe. Relativity introduced time as the fourth dimension, and Einstein’s subsequent work envisioned more dimensions still--but ultimately hit a dead end. Modern research has advanced the subject in ways he couldn’t have imagined. John Hockenberry joins Brian Greene, Lawrence Krauss, and other leading thinkers on a visual tour through wondrous spatial realms that may lie beyond the ones we experience.

The World Science Festival gathers great minds in science and the arts to produce live and digital content that allows a broad general audience to engage with scientific discoveries. Our mission is to cultivate a general public informed by science, inspired by its wonder, convinced of its value, and prepared to engage with its implications for the future.

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Original Program date:June 5, 2010
MODERATOR: John Hockenberry
PARTICIPANTS: Escher String Quartet, Brian Greene, Lawrence Krauss, Linda Dalrymple Henderson, Shamit Kachru

Brian Greene and a moment of physics. 00:00

Einstein and what is gravity. 04:40

Three dimensional space and the warps and curves of gravity. 06:33

What does 3D space look like? 10:55

Escher String Quartet. 16:34

John Hockenberry Introduction. 21:22

Participant Introductions. 24:17

The history of multi-dimensions. 25:43

Who preceded mathematician Kaluza. 31:14

Whats the difference between math and physics 33:21

Graviton's and quantum particles. 40:42

Do experimental physicists except the math as truth? 45:45

Quarks, Leptons and Forces. 53:10

The Calabi-Yau manifold 55:34

Einstein's lunar eclipse experiment. 01:00:00

Describing the fourth dimension 01:05:56

Will there be discoveries outside of just mathematics? 01:07:10

Physics... It is not easy and it takes along time. 01:15:25

Everything we see is just pollution. 01:19:35

The excitement the super string theory. 01:23:22