A Rotating Penrose Triangle Model, revealing Secret behind Optical Illusion
This is a rotating Penrose Triangle Model which shows us the nature of one of the most popular optical illusions. It was created by Tom Ruen {https://en.wikipedia.org/wiki/User:Tomruen}.
The Penrose Triangle is also known as the Penrose Tribar or Impossible Tribar. It is an optical illusion which can be depicted using an isometric grid. Isometric grids are commonly used for perspective drawings.
The Penrose Triangle features prominently in the works of M. C. Escher and it's usually said that it was first created by the Swedish artist Oscar Reutersvärd in 1934.
Find out how to derive the volumes of cones formula from almost absolute scratch.
*If you'd really like to understand the deep concept of finding volumes, please watch the video below before you start watching the video above:
https://www.youtube.com/watch?v=0X18YMac6bM
*If you'd like to understand how I came up with a solution for finding volumes, please watch my videos on finding areas underneath curves below:
https://www.youtube.com/watch?v=K4wW4zsFxq4
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https://www.youtube.com/watch?v=0NUG_s1FxIg
Learn how to derive the area of an ellipse from scratch.
This is what you must know, including the skills that are required to follow this video series carefully:
1. Algebraic skills [Example: √(a*b)=√a√b]
Link: http://mathsvideos.net/useful-algebraic-formulas/
2. Trigonometry skills
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https://www.youtube.com/watch?v=5pDTa0y1V_E
In this video you will find a perfect woven pentacle design that was created using just equations. Thousands of calculations were performed on paper to produce it, and it is held together by 118 core equations.
Artwork by:
https://www.instagram.com/tiago_hands/
For mathematics proofs, visit:
http://www.mathsvideos.net
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https://www.youtube.com/watch?v=MWgLey42jwk
A Quick Way to Build a 3 Dimensional Pyramid 1-abs(x+y)-abs(y-x)
This video was created by:
https://www.twitter.com/tiago_hands
For more mathematics content, check out:
https://www.threads.net/@mathematics.proofs
https://www.instagram.com/mathematics.proofs
Thanks for watching this video and make sure you have subscribed if you want to see more videos like this!
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https://www.youtube.com/watch?v=uHQS0VRHSGM
The Lute of Pythagoras Pentagon - Extreme Recursive Mathematics Art 2023
This video was created by:
https://www.twitter.com/tiago_hands
For more mathematics content, check out:
https://www.threads.net/@mathematics.proofs
https://www.instagram.com/mathematics.proofs
Thanks for watching this video and make sure you have subscribed if you want to see more videos like this!
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https://www.youtube.com/watch?v=I3v0VBSNd8g
In this video I demonstrate how to construct a pentagram (5 pointed star) geometrically. I used Desmos Geometry to produce this video, a fantastic free online tool.
If you like this clip, do not forget to subscribe to my channel for more videos that are similar.
You can follow me on social media at: https://www.instagram.com/tiago_hands
For mathematics proofs, go to: https://www.instagram.com/mathematics.proofs
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https://www.youtube.com/watch?v=xVMsGmTAMjk
In this video I demonstrate how to get the x and y intercepts for graphs of the form y=ax^2+bx+c. In the process, you discover an algebraic problem solving method called 'completing the square' and you also figure out how to derive the famous *quadratic formula*, algebraically, from absolute scratch.
I hope this full and comprehensive explanation of the topic really helps you with your A-Level Mathematics course and I wish you the best of luck with your exams!
You can find the graph related to this video at: https://www.desmos.com/calculator/6lcqyyvmn8
To follow me on social media, visit:
https://www.instagram.com/tiago_hands
https://www.twitter.com/tiago_hands
For more mathematics proofs content, go to:
https://www.instagram.com/mathematics.proofs
Thanks for watching and have a spectacular day!
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https://www.youtube.com/watch?v=bIUvSKeYCC0