yt:channel:UCFvYoHEU_3x5LKyQq6t55_gUCFvYoHEU_3x5LKyQq6t55_gMathematics Proofs - GCSE & A LevelMathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2013-12-31T21:28:31+00:00mathematics_proofs_videoshttps://feedburner.google.comyt:video:QyMRREA_YPkQyMRREA_YPkUCFvYoHEU_3x5LKyQq6t55_gFormula for sums such as 1+3+6+10+15+21+... derived from scratch. (n/6)*(n+1)(2n+1) proof, part 1Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-12T20:27:14+00:002019-10-12T21:38:08+00:00Formula for sums such as 1+3+6+10+15+21+... derived from scratch. (n/6)*(n+1)(2n+1) proof, part 1In this video I present to you the logic behind finding the formula which describes all sums of a kind 1+3+6+10+15+21+... The formula I then end up with can be used to come up with the rationale behind (n/6)*(n+1)*(2n+1) *geometrically*. A video related to this geometrical proof will be put online soon. You won't be able to understand it without watching this video first. This video is quite long, but very worth it if you're interested in developing mathematical proofs.
If you like my work, be sure to follow me on Instagram:
https://www.instagram.com/tiago_hands/
You can also donate to my project below:
https://flattr.com/@tiago_hands
Thank you very much indeed for watching!! :-)<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/BiheI_RxxXM" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=QyMRREA_YPkyt:video:OqGKzyr_OgYOqGKzyr_OgYUCFvYoHEU_3x5LKyQq6t55_gThe Koch Snowflake (First 5 Iterations), Playback x 3Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-09T14:32:56+00:002019-10-09T19:38:21+00:00The Koch Snowflake (First 5 Iterations), Playback x 3In this video I present to you the first 5 iterations of the Koch snowflake. The Koch snowflake is also known as the Koch curve, the Koch star and Koch island.
It was discovered by the Swedish mathematician Helge von Koch. It first appeared in a paper in 1904 called "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" by the man himself.
It turns out that the Koch snowflake encloses a finite area, but has an infinite perimeter.
Source:
https://en.wikipedia.org/wiki/Koch_snowflake#targetText=The%20Koch%20snowflake%20(also%20known,fractals%20to%20have%20been%20described.
Description by Tiago Hands [https://www.instagram.com/tiago_hands/] using Wikipedia as a source.<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/bJ1EU55tu3I" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=OqGKzyr_OgYyt:video:ZaNhHzaHa_gZaNhHzaHa_gUCFvYoHEU_3x5LKyQq6t55_gSTUNNING Fractal Graphics by Pete Linforth, MUST SEE! [With music by Sappheiros (Ft. eSoreni)]Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-09T10:30:05+00:002019-10-09T22:04:04+00:00STUNNING Fractal Graphics by Pete Linforth, MUST SEE! [With music by Sappheiros (Ft. eSoreni)]In this video I present to you absolutely stunning fractal graphics made by Pete Linforth from Pixabay [https://pixabay.com/users/thedigitalartist-202249/]. The images are in high definition and in total there are 50. Enjoy!!
If you'd like to support the artist, visit the link below and make a donation via the 'coffee' button: https://pixabay.com/users/thedigitalartist-202249/
MUSIC DETAILS [READ BELOW]:
––––––––––––––––––––––––––––––
Falling (Ft. eSoreni) by Sappheiros https://soundcloud.com/sappheirosmusic
Creative Commons — Attribution 3.0 Unported — CC BY 3.0
Free Download / Stream: https://bit.ly/falling-ft-esoreni
Music promoted by Audio Library https://youtu.be/0rfzkcQjiFg
––––––––––––––––––––––––––––––
🎵 Track Info:
Title: Falling (Ft. eSoreni) by Sappheiros
Genre and Mood: Dance & Electronic + Inspirational
———
🎧 Available on:
Spotify: https://open.spotify.com/track/0VlTcV...
iTunes: https://apple.co/2xUP9ih
Deezer: https://www.deezer.com/en/album/88114742
YouTube: https://www.youtube.com/watch?v=E_e4r...
SoundCloud: https://soundcloud.com/sappheirosmusi...
Bandcamp: https://sappheiros.bandcamp.com/track...
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😊 Contact the Artist:
zachremick1@gmail.com
https://soundcloud.com/sappheirosmusic
https://open.spotify.com/artist/5ZVHX...
https://www.youtube.com/channel/UCxLK...
https://music.apple.com/us/artist/sap...
https://www.deezer.com/en/artist/1381...
https://sappheiros.bandcamp.com
https://www.patreon.com/sappheiros
https://www.paypal.com/paypalme2/sapp...
https://twitter.com/SappheirosMusic
https://www.instagram.com/sappheirosm...
https://www.facebook.com/SappheirosMusic
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———
Video description by: https://www.instagram.com/tiago_hands/
For FREE mathematics proofs on Instagram visit: https://www.instagram.com/mathematics.proofs/
*This video has not been monetised.<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/-pyD9IB5a5Q" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=ZaNhHzaHa_gyt:video:geTGxSAjx2ggeTGxSAjx2gUCFvYoHEU_3x5LKyQq6t55_gAnimated Construction of a Sierpinski Triangle (Playback x 4)Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-07T16:22:19+00:002019-10-07T16:24:38+00:00Animated Construction of a Sierpinski Triangle (Playback x 4)This is an animated construction of a Sierpinski Triangle. It was created by Dino with SAGE [http://www.sagemath.org/]. Dino's Wikipedia page can be found at: https://en.wikipedia.org/wiki/User:Dino. This animation is attributed to: Dino at English Wikipedia [CC BY-SA 3.0 (https://creativecommons.org/licenses/by-sa/3.0)].
A bit about the Sierpinski Triangle:
The Sierpinski Triangle is a fractal named after the Polish mathematician Wacław Sierpiński (1882-1969). Its overall shape is typically that of an equilateral triangle and it can be subdivided recursively into smaller equilateral triangles. The Sierpinski Triangle is a basic example of self-similar sets as its pattern is reproducible at any magnification or reduction.
Source: https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle
Video description by Tiago Hands: https://www.instagram.com/tiago_hands/
*This video has not been monetised.<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/fWfE1AXJwuM" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=geTGxSAjx2gyt:video:2fcbjOKVfoY2fcbjOKVfoYUCFvYoHEU_3x5LKyQq6t55_gA Rotating Penrose Triangle Model, revealing Secret behind Optical IllusionMathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-07T15:11:45+00:002019-10-07T15:16:09+00:00A Rotating Penrose Triangle Model, revealing Secret behind Optical IllusionThis 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}.
Animation details (attribution): Tomruen [CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0)]
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.
Source: https://en.wikipedia.org/wiki/Penrose_triangle
Video description by Tiago Hands: https://www.instagram.com/tiago_hands/
*This video has not been monetised.<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/-VybWbvgEmc" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=2fcbjOKVfoYyt:video:6U_qxdBGIwU6U_qxdBGIwUUCFvYoHEU_3x5LKyQq6t55_gS_n=(n/2)*[2a+(n-1)d] Full STEP by STEP Comprehensive Proof (Arithmetic Series, C1 Mathematics)Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-06T21:17:14+00:002019-10-06T21:44:25+00:00S_n=(n/2)*[2a+(n-1)d] Full STEP by STEP Comprehensive Proof (Arithmetic Series, C1 Mathematics)In this video I explain in great detail and STEP by STEP why the formula for the sum of an arithmetic series is S_n=(n/2)*[2a+(n-1)d]. My goal here on Youtube is to help you understand why certain mathematical formulas exist before you begin working with them. This, I believe, will give you a deeper understanding of mathematical principles.
If this video is a bit too complicated for you, then I would suggest watching the video below first - then returning here at a later date:
https://youtu.be/3p87wDxR0LM
To support my work, follow me on Instagram here:
https://www.instagram.com/tiago_hands/
For mathematics proofs on Instagram, follow this page:
https://www.instagram.com/mathematics.proofs/
If you'd like to donate to my project, you can do so through here:
https://flattr.com/@tiago_hands
Thanks for watching!<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/iHT-QhkONeI" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=6U_qxdBGIwUyt:video:3p87wDxR0LM3p87wDxR0LMUCFvYoHEU_3x5LKyQq6t55_gHow to add up EVERY number from 1 to 100, Carl Friedrich Gauss Style (C1 Mathematics)Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-03T17:07:42+00:002019-10-03T17:16:44+00:00How to add up EVERY number from 1 to 100, Carl Friedrich Gauss Style (C1 Mathematics)In this video I demonstrate to you how to add up every number from 1 to 100 using a simple mathematical method developed by Carl Friedrich Gauss (1777-1855) when he was in Junior School.
This video contains the image attributed to:
Christian Albrecht Jensen [Public domain, https://commons.wikimedia.org/wiki/File:Carl_Friedrich_Gauss_1840_by_Jensen.jpg]
Information about Carl Friedrich Gauss can be found here:
https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss
If you like this video and would like to support my work, follow me on Instagram:
https://www.instagram.com/tiago_hands/
For donations, visit:
https://flattr.com/@tiago_hands<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/D9Xt-MRvcMI" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=3p87wDxR0LMyt:video:lPuzUGegwn4lPuzUGegwn4UCFvYoHEU_3x5LKyQq6t55_gC2 Mathematics: Finding 'x' and the Area of the Triangle (with 2 lengths and an angle)Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-10-02T15:49:30+00:002019-10-02T16:00:46+00:00C2 Mathematics: Finding 'x' and the Area of the Triangle (with 2 lengths and an angle)In this video I demonstrate to you how to solve a typical C2 mathematics problem. I show you how to find the value of 'x' and also the area of an irregular triangle when you are given two lengths and one angle. I do this using the Sine Rule and also the formula to find areas of irregular triangles.
If you like this video and you want to support my work, follow me on Instagram:
https://www.instagram.com/tiago_hands/ (Personal Account)
https://www.instagram.com/mathematics.proofs/ (Mathematics Proofs Account)
For donations, access this page:
https://flattr.com/@tiago_hands
Thank you very much indeed for watching!<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/fsVVf7i8K7U" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=lPuzUGegwn4yt:video:ZDMsXEo3fikZDMsXEo3fikUCFvYoHEU_3x5LKyQq6t55_gCreate your first Penrose Triangle using Grid Paint [Step by Step Instructions]Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-09-30T17:42:04+00:002019-09-30T19:03:54+00:00Create your first Penrose Triangle using Grid Paint [Step by Step Instructions]In this video I'm going to show you how to create your first Penrose Triangle using the website Grid Paint. This site can be accessed via the link below:
https://grid-paint.com/
If you like this video and you want to support my work, follow me on Instagram:
https://www.instagram.com/tiago_hands/
Thanks for watching!<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/nw8tXvUPsLg" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=ZDMsXEo3fikyt:video:E7KJPwq6O9wE7KJPwq6O9wUCFvYoHEU_3x5LKyQq6t55_gGeometrical / Algebraic Proof :: Area of an Equilateral Triangle is A=(1/4)*a^2*√3Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-09-28T15:39:46+00:002019-09-28T16:30:09+00:00Geometrical / Algebraic Proof :: Area of an Equilateral Triangle is A=(1/4)*a^2*√3In this video I prove to you with a synthesis of pure geometry and algebra, plus Pythagoras' theorem that the area of an equilateral triangle is exactly (1/4)*a^2*√3 as can be seen when you Google search.
I hope you enjoy this video, and if you like my work, follow me on Instagram:
https://www.instagram.com/tiago_hands/
I also have a mathematics proofs page on Instagram as well:
https://www.instagram.com/mathematics.proofs/<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/spTTP0c0hWA" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=E7KJPwq6O9wyt:video:UmTbGnU3zBcUmTbGnU3zBcUCFvYoHEU_3x5LKyQq6t55_g|z_1/z_2| = |z_1|/|z_2| Proof [Further Pure Mathematics, Imaginary & Complex Numbers / Equations]Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-09-27T15:10:48+00:002019-09-27T15:31:43+00:00|z_1/z_2| = |z_1|/|z_2| Proof [Further Pure Mathematics, Imaginary & Complex Numbers / Equations]Hello, it's Tiago Hands here.
In this video I demonstrate to you how to prove that |z_1/z_2| = |z_1|/|z_2| using basic algebraic methods such as FOIL.
If you like this video and would like to support my mathematics proofs and art project, follow me on Instagram at:
https://www.instagram.com/tiago_hands/
I also have an Instagram page related to mathematics proofs here:
https://www.instagram.com/mathematics.proofs/
Also don't forget to subscribe on Youtube!
All the best!! :-D<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/lu6qNiQZBgo" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=UmTbGnU3zBcyt:video:mgKdH4Qd7GkmgKdH4Qd7GkUCFvYoHEU_3x5LKyQq6t55_gFeatured Mathematical Artists: Nico Meyer - A Burning Star (Playback x3)Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-08-08T20:23:25+00:002019-08-08T20:23:26+00:00Featured Mathematical Artists: Nico Meyer - A Burning Star (Playback x3)Once again I proudly present to you another awesome animation by Nico Meyer. This one is called 'A Burning Star'. Nico Meyer is a mathematical artist with a Masters of Science in Structural Engineering.
More information about his work can be found on:
https://www.njmeyerart.com/
His Instagram account is:
https://www.instagram.com/nicomeyer/
*This video is not monetised. Its contents are copyrighted.
[Video uploaded by Tiago Hands on the 08.08.2019]<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/fwCWWIrg308" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=mgKdH4Qd7Gkyt:video:bAyM4_AB0PgbAyM4_AB0PgUCFvYoHEU_3x5LKyQq6t55_gFeatured Mathematical Artists: Nico Meyer - Headless Ouroboros (Playback x3)Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-08-08T13:04:03+00:002019-08-10T10:34:44+00:00Featured Mathematical Artists: Nico Meyer - Headless Ouroboros (Playback x3)In this video I proudly present to you the mathematical artwork produced by Nico Meyer. He has called this animation 'The Headless Ouroboros' and has kindly allowed me to feature it on this mathematics channel.
Nico Meyer has a Masters of Science in Structural Engineering and uses his skills and experience to design large scale and complex geometrical artwork. His intention is to use spatial and conceptual illusions to bring awareness to the mental projections we swim in daily.
In his own words:
"Art should illuminate what is hidden, reveal what we've become blind to, intentionally or unintentionally. It should remind us of fundamental human errors and the connections between vices and virtues."
If you are interested in seeing more of Nico Meyer's work, please visit his fantastic website: https://www.njmeyerart.com/. Alternatively, you can follow him on Instagram via this link: https://www.instagram.com/nicomeyer/.
*This video is not monetised and the content is copyrighted. For commercial enquiries, contact Nico Meyer at: https://www.njmeyerart.com/copy-of-artist-statement-1.
[Content uploaded by Tiago Hands (08/08/2019): https://www.instagram.com/tiago_hands/]<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/MCfnmMXvdYw" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=bAyM4_AB0Pgyt:video:NmIuTINtK9YNmIuTINtK9YUCFvYoHEU_3x5LKyQq6t55_gPerfect 19 Pointed Woven Star created on Desmos, 1293 EquationsMathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-07-24T11:54:54+00:002019-07-24T11:54:55+00:00Perfect 19 Pointed Woven Star created on Desmos, 1293 EquationsPERFECT 19 POINTED WOVEN STAR, 1293 EQUATIONS, CREATED ON DESMOS
This is a 19 pointed woven star I created on Desmos. It is being held together by 1,293 equations. It took over a year to complete because I procrastinated quite a lot and because the project was quite a beast to manage.
Artist: https://www.instagram.com/tiago_hands
Copyright 2019, 24.07.2019, Tiago Hands.
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To get free mathematics proofs on Instagram, visit:
https://www.instagram.com/mathematics.proofs/<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/cNQGThAp7SQ" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=NmIuTINtK9Yyt:video:U0sMONrUtTEU0sMONrUtTEUCFvYoHEU_3x5LKyQq6t55_gFractal & Geometric Universes: Mathematical Artwork by Cyrille Guédon [With Music by LWTHR]Mathematics Proofs - GCSE & A Levelhttps://www.youtube.com/channel/UCFvYoHEU_3x5LKyQq6t55_g2019-07-17T13:31:28+00:002019-07-19T05:53:32+00:00Fractal & Geometric Universes: Mathematical Artwork by Cyrille Guédon [With Music by LWTHR]Fractal & Geometric Universes: Mathematical Artwork by Cyrille Guédon [With Music by LWTHR]
Explore the wonderful fractal and geometric universes created by Cyrille Guédon with some awesome background music called 'Infinite' by LWTHR. This clip is for anyone who loves mathematical art and especially fractals.
Artist: Cyrille Guédon [https://www.instagram.com/cyrille.guedon.art/]
Music (Copyrighted, July 2019) by: LWTHR [https://www.instagram.com/lwthr_music/]
Download 'Infinite' by LWTHR here:
https://lwthr.bandcamp.com/track/infinite
Uploaded by: Tiago Hands [https://www.instagram.com/tiago_hands/]<img src="http://feeds.feedburner.com/~r/mathematics_proofs_videos/~4/5GCT7FkHHh8" height="1" width="1" alt=""/>https://www.youtube.com/watch?v=U0sMONrUtTE