프랙탈
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무한 자기복제! 프랙탈 / YTN 사이언스
[YTN 사이언스 기사원문] http://www.ytnscience.co.kr/program/program_view.php?s_mcd=1084\u0026s_hcd=\u0026key=201405291431357685
보는 이의 탄성을 자아내는 몽환적인 아름다움을 지닌 작품들인기 애니메이션의 재미를 더하는 컴퓨터 그래픽과 불규칙해 보이는 자연의 숨겨진 놀라운 규칙성!이들의 공통점은 바로 '프랙탈'인데요자기 복제를 통해 자연과 일상에 신비한 패턴을 만들어내는 프랙탈의 놀라운 세계를 지금부터 만나보시죠
김윤영 : 온라인 강의 땜에 듣는 사람 손
Eunji Bae : 수학 스토리텔러 분 말씀 쉽고 논리정연하게 해주셔서 이해가 잘 되네요.
ᄒᄒᄒ : 미술시간에 왔는데 저만 재밌나요?첨엔 20분짜리라 그냥 봤는데 점점 재밌네요!
한 인간 : 수행평가용 타임라인
3:10 망델브로 3:55 해안선 길이 4:30 유래 5:40 겨울왕국 8:00 아폴로니안 비스킷 9:15 여러 프렉탈(코흐곡선, 시에르핀스키 삼각형, 파스칼의 삼각형) 12:30 인체 속의 프렉탈-프렉탈로 하면 겉넓이 ^^ 이득 14:30 화가 16:00 폴락과 프렉탈 18:00 프렉탈 정리 19:20 정리
프렉탈 속의 차원(???)
행성. : 프렉탈 엄청나게 신기하다... 정말 유익하네요!
부분과 전체가 동일한 모양으로 끊임없이 반복되는 프랙탈 구조 / YTN 사이언스
구름, 번개, 산봉우리, 사막등에서 찾을 수 있는 프랙탈.부분과 전체가 같은 모양으로 끝없이 반복되는 프랙탈 구조에 대해 알아본다.
[YTN 사이언스 기사원문] http://www.ytnscience.co.kr/hotclip/view.php?s_mcd=0083\u0026key=201708041713432174
김성렬 : 좁은공간에 많은 걸 우겨넣을 수 있는 자연의 배치가 아닐까용
1330m : 프랙탈 기하학과 프랙탈 무한중첩우주론은 1970년대 전반기에 거의
동시에 등장합니다 . 망델브로와 클로드 라엘 두 사람을 통해서 출현합니다
화엄불교의 세계관과도 통하는 프랙탈기하학은 신성한 의미를 갖습니다
칸토르 무한집합론의 기하학 버전이 프랙탈 기하학입니다
윤경숙 : 이런 프로그램 좋아해요
호기심 많은 아줌마가 ~
규리 : 하 망했다 살려주세요
Eye of the Universe - Mandelbrot Fractal Zoom (e1091) (4k 60fps)
This Mandelbrot zoom takes us all the way to a mini-brot at a depth of e1091. This video has quite a large colour variety due to a new rendering technique that I trialled. It took well over a week to render. Please hit subscribe!
This video was rendered and uploaded in 4k at 60fps. It seems that it is viewable again on YouTube in 4k, so check it out in high resolution!
To create the detailed colours this video was rendered in 2 passes using Kalles Fraktaler. The first pass created a broad colour video. The second pass was used to create a more dense brightness layer using the wave function. The results were blended using After Effects.
This video is long enough to play your favourite album in the background. I have chosen some quiet music, but it won't be to everyone's taste. It's very hard to find free music that can be used on YouTube. If you think this video goes particularly well with certain music, please leave a comment, so others can try it out.
This video appeared on the TV series "The Big Bang Theory".
The Mandelbrot Set Explained: https://www.youtube.com/watch?v=7MotVcGvFMg
Thank-you to my supporters on Patreon.
/********************************************************************************
OpenSea: https://opensea.io/collection/maths-town
Patreon: https://www.patreon.com/mathstown (Support, Downloads \u0026 Usage Rights)
Discord: https://discord.gg/YphYVt787v
Website: https://www.maths.town
Twitter: https://twitter.com/MathsTown
********************************************************************************/
Thumbnail image at 1:05:26
Zoom: 3.4e1091
Iterations: Almost 17 million.
Re: 0.360240443437614363236125244449545308482607807958585750488375814740195346059218100311752936722773426396233731729724987737320035372683285317664532401218521579554288661726564324134702299962817029213329980895208036363104546639698106204384566555001322985619004717862781192694046362748742863016467354574422779443226982622356594130430232458472420816652623492974891730419252651127672782407292315574480207005828774566475024380960675386215814315654794021855269375824443853463117354448779647099224311848192893972572398662626725254769950976527431277402440752868498588785436705371093442460696090720654908973712759963732914849861213100695402602927267843779747314419332179148608587129105289166676461292845685734536033692577618496925170576714796693411776794742904333484665301628662532967079174729170714156810530598764525260869731233845987202037712637770582084286587072766838497865108477149114659838883818795374195150936369987302574377608649625020864292915913378927790344097552591919409137354459097560040374880346637533711271919419723135538377394364882968994646845930838049998854075817859391340445151448381853615103761584177161812057928
Im: -0.6413130610648031748603750151793020665794949522823052595561775430644485741727536902556370230689681162370740565537072149790106973211105273740851993394803287437606238596262287731075999483940467161288840614581091294325709988992269165007394305732683208318834672366947550710920088501655704252385244481168836426277052232593412981472237968353661477793530336607247738951625817755401065045362273039788332245567345061665756708689359294516668271440525273653083717877701237756144214394870245598590883973716531691124286669552803640414068523325276808909040317617092683826521501539932397262012011082098721944643118695001226048977430038509470101715555439047884752058334804891389685530946112621573416582482926221804767466258346014417934356149837352092608891639072745930639364693513216719114523328990690069588676087923656657656023794484324797546024248328156586471662631008741349069961493817600100133439721557969263221185095951241491408756751582471307537382827924073746760884081704887902040036056611401378785952452105099242499241003208013460878442953408648178692353788153787229940221611731034405203519945313911627314900851851072122990492499999999999999999991
Music: Audionautix.com
Maths Town : This video was featured in Season 12 Episode 19 of "THE BIG BANG THEORY" TV show. Be sure to check out the episode!
A screenshot is on our Twitter page: https://twitter.com/MathsTown/status/1129287186132508673
thea yeah : Math teachers be like: find the area of this shape
Jack : It scares me how this is all just maths. Nobody designed this, they just calculated it
Fish Fingers : Congratulations, you’ve made it to this part of the trip. Stay safe, my friends.
Dani01 : The scary part is, wherever you look - in the center of these fractals there is always the uncanny Mandelbrot shape. Lurking like a black hole in all this light and spirals. It is the beginning and the end, a horizon to the Mandelbrot space.
[YTN 사이언스 기사원문] http://www.ytnscience.co.kr/program/program_view.php?s_mcd=1084\u0026s_hcd=\u0026key=201405291431357685
보는 이의 탄성을 자아내는 몽환적인 아름다움을 지닌 작품들인기 애니메이션의 재미를 더하는 컴퓨터 그래픽과 불규칙해 보이는 자연의 숨겨진 놀라운 규칙성!이들의 공통점은 바로 '프랙탈'인데요자기 복제를 통해 자연과 일상에 신비한 패턴을 만들어내는 프랙탈의 놀라운 세계를 지금부터 만나보시죠
김윤영 : 온라인 강의 땜에 듣는 사람 손
Eunji Bae : 수학 스토리텔러 분 말씀 쉽고 논리정연하게 해주셔서 이해가 잘 되네요.
ᄒᄒᄒ : 미술시간에 왔는데 저만 재밌나요?첨엔 20분짜리라 그냥 봤는데 점점 재밌네요!
한 인간 : 수행평가용 타임라인
3:10 망델브로 3:55 해안선 길이 4:30 유래 5:40 겨울왕국 8:00 아폴로니안 비스킷 9:15 여러 프렉탈(코흐곡선, 시에르핀스키 삼각형, 파스칼의 삼각형) 12:30 인체 속의 프렉탈-프렉탈로 하면 겉넓이 ^^ 이득 14:30 화가 16:00 폴락과 프렉탈 18:00 프렉탈 정리 19:20 정리
프렉탈 속의 차원(???)
행성. : 프렉탈 엄청나게 신기하다... 정말 유익하네요!
부분과 전체가 동일한 모양으로 끊임없이 반복되는 프랙탈 구조 / YTN 사이언스
구름, 번개, 산봉우리, 사막등에서 찾을 수 있는 프랙탈.부분과 전체가 같은 모양으로 끝없이 반복되는 프랙탈 구조에 대해 알아본다.
[YTN 사이언스 기사원문] http://www.ytnscience.co.kr/hotclip/view.php?s_mcd=0083\u0026key=201708041713432174
김성렬 : 좁은공간에 많은 걸 우겨넣을 수 있는 자연의 배치가 아닐까용
1330m : 프랙탈 기하학과 프랙탈 무한중첩우주론은 1970년대 전반기에 거의
동시에 등장합니다 . 망델브로와 클로드 라엘 두 사람을 통해서 출현합니다
화엄불교의 세계관과도 통하는 프랙탈기하학은 신성한 의미를 갖습니다
칸토르 무한집합론의 기하학 버전이 프랙탈 기하학입니다
윤경숙 : 이런 프로그램 좋아해요
호기심 많은 아줌마가 ~
규리 : 하 망했다 살려주세요
Eye of the Universe - Mandelbrot Fractal Zoom (e1091) (4k 60fps)
This Mandelbrot zoom takes us all the way to a mini-brot at a depth of e1091. This video has quite a large colour variety due to a new rendering technique that I trialled. It took well over a week to render. Please hit subscribe!
This video was rendered and uploaded in 4k at 60fps. It seems that it is viewable again on YouTube in 4k, so check it out in high resolution!
To create the detailed colours this video was rendered in 2 passes using Kalles Fraktaler. The first pass created a broad colour video. The second pass was used to create a more dense brightness layer using the wave function. The results were blended using After Effects.
This video is long enough to play your favourite album in the background. I have chosen some quiet music, but it won't be to everyone's taste. It's very hard to find free music that can be used on YouTube. If you think this video goes particularly well with certain music, please leave a comment, so others can try it out.
This video appeared on the TV series "The Big Bang Theory".
The Mandelbrot Set Explained: https://www.youtube.com/watch?v=7MotVcGvFMg
Thank-you to my supporters on Patreon.
/********************************************************************************
OpenSea: https://opensea.io/collection/maths-town
Patreon: https://www.patreon.com/mathstown (Support, Downloads \u0026 Usage Rights)
Discord: https://discord.gg/YphYVt787v
Website: https://www.maths.town
Twitter: https://twitter.com/MathsTown
********************************************************************************/
Thumbnail image at 1:05:26
Zoom: 3.4e1091
Iterations: Almost 17 million.
Re: 0.360240443437614363236125244449545308482607807958585750488375814740195346059218100311752936722773426396233731729724987737320035372683285317664532401218521579554288661726564324134702299962817029213329980895208036363104546639698106204384566555001322985619004717862781192694046362748742863016467354574422779443226982622356594130430232458472420816652623492974891730419252651127672782407292315574480207005828774566475024380960675386215814315654794021855269375824443853463117354448779647099224311848192893972572398662626725254769950976527431277402440752868498588785436705371093442460696090720654908973712759963732914849861213100695402602927267843779747314419332179148608587129105289166676461292845685734536033692577618496925170576714796693411776794742904333484665301628662532967079174729170714156810530598764525260869731233845987202037712637770582084286587072766838497865108477149114659838883818795374195150936369987302574377608649625020864292915913378927790344097552591919409137354459097560040374880346637533711271919419723135538377394364882968994646845930838049998854075817859391340445151448381853615103761584177161812057928
Im: -0.6413130610648031748603750151793020665794949522823052595561775430644485741727536902556370230689681162370740565537072149790106973211105273740851993394803287437606238596262287731075999483940467161288840614581091294325709988992269165007394305732683208318834672366947550710920088501655704252385244481168836426277052232593412981472237968353661477793530336607247738951625817755401065045362273039788332245567345061665756708689359294516668271440525273653083717877701237756144214394870245598590883973716531691124286669552803640414068523325276808909040317617092683826521501539932397262012011082098721944643118695001226048977430038509470101715555439047884752058334804891389685530946112621573416582482926221804767466258346014417934356149837352092608891639072745930639364693513216719114523328990690069588676087923656657656023794484324797546024248328156586471662631008741349069961493817600100133439721557969263221185095951241491408756751582471307537382827924073746760884081704887902040036056611401378785952452105099242499241003208013460878442953408648178692353788153787229940221611731034405203519945313911627314900851851072122990492499999999999999999991
Music: Audionautix.com
Maths Town : This video was featured in Season 12 Episode 19 of "THE BIG BANG THEORY" TV show. Be sure to check out the episode!
A screenshot is on our Twitter page: https://twitter.com/MathsTown/status/1129287186132508673
thea yeah : Math teachers be like: find the area of this shape
Jack : It scares me how this is all just maths. Nobody designed this, they just calculated it
Fish Fingers : Congratulations, you’ve made it to this part of the trip. Stay safe, my friends.
Dani01 : The scary part is, wherever you look - in the center of these fractals there is always the uncanny Mandelbrot shape. Lurking like a black hole in all this light and spirals. It is the beginning and the end, a horizon to the Mandelbrot space.
... 
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