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mathvisualproofs
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I animate visual proofs on YouTube. Check there for more: https://youtube.com/@MathVisualProofs
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mathvisualproofs님의 인스타그램의 주 컨텐츠 타입은 릴스 입니다.
주로 수학 관련 활동을 하는 인스타그램 계정입니다.
주로 수학 관련 주제의 게시물이며 수학 이론과 그에 관련된 시각적 증명을 다루고 있어요.
중복 제외 실제 조회수입니다.6089 (6천)Koch Snowflake: Infinite perimeter but finite area This is a short, animation showing the Koch snowflake and discussing the fact that it has infinite perimeter but encloses a finite area. #mathshorts #mathvideo #math #fractal #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #limits #mathematics #perimeter #kochsnowflake This is a standard result that can be found in numerous places, such as Wikipedia. To learn more about animating with manim, check out: https://manim.community
738 
7게시물 보기
중복 제외 실제 조회수입니다.10528 (1.1만)Sum of Cubes Visual Proof This is a short, animated visual proof giving a formula for the sum of the first n positive cubes. #mathshorts #mathvideo #math #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #cubes #mathematics #sum This animation is based on a visual proof by Georg Schrage from the June 1992 issue of Mathematics Magazine (https://doi.org/10.2307/2691330 - page 185). To see my original wide-format version of this proof, check out https://youtu.be/NxOcT_VKQR0 To learn more about animating with manim, check out: https://manim.community1311 (1천)19게시물 보기
중복 제외 실제 조회수입니다.5457 (5천)Thomae’s Function This is a visualization of an approximation of the Thomae’s function, which is a function that is continuous at irrationals, discontinuous at rationals, and differentiable nowhere. To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! #manim #math #mathshorts #mathvideo #construction #calculus #mtbos #manim #animation #theorem #iteachmath #spiral #thomae #continuous #continuity #differentiation #differentiablenowhere #function #irrational_number #irrational #rational #rationalnumbers To learn more about animating with manim, check out: https://manim.community629 6게시물 보기
중복 제외 실제 조회수입니다.11286 (1.1만)2025 Equilateral Triangles tiling an Equilateral Triangle Here’s a tiling of an equilateral triangle with 2025 smaller equilateral triangles. We can do this because 2025 is a perfect square (45x45). In the animation, you can see the factorization 2025 = (9x9)x(5x5). Happy New Year! #happynewyear2025 #happynewyear #equilateraltriangle #manim #math #mathematics #visualproof #equilateral #mathproof #2025 #tiling #marimba To learn more about animating with manim, check out: https://manim.community1031 (1천)6게시물 보기
중복 제외 실제 조회수입니다.398290 (39.8만)A Math Fact for the New Year 2025! 2025 is a sum of consecutive cubes and the square of a sum of consecutive numbers. This number allows us to investigate a visual proof of Nicomachus’s theorem. To see a visual proofs of this formula check this video out: https://youtu.be/Gz9DhDHVGy8 (and links therein) To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! #happynewyear2025 #happynewyear #sumcubes #manim #math #mathematics #visualproof #proofwithoutwords #mathproof #2025 To learn more about animating with manim, check out: https://manim.community50973 (5.1만)209게시물 보기
중복 제외 실제 조회수입니다.7704 (7천)Happy Math Holidays! This is a holiday tree built from a cylinder, lines on a cone, and spheres. The tree is topped off with the Koch snowflake. Thank you for your support this year. I hope everyone has a happy holiday season and a wonderful new year. #math #manim #holiday To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! To learn more about animating with manim, check out: https://manim.community735 7게시물 보기
중복 제외 실제 조회수입니다.22161 (2.2만)Approximate Square Roots with Calculus! This is a visual technique that uses linear approximation to find the square root of a whole number by finding the equation of the tangent line to points on the square root curve. To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! #manim #math #mathshorts #mathvideo #algebra #calculus #mtbos #manim #animation #theorem #iteachmath #spiral #logarithm #square #root #squareroot #function To learn more about animating with manim, check out: https://manim.community2425 (2천)16게시물 보기
중복 제외 실제 조회수입니다.150044 (15.0만)Approximate Square Roots Visually! This is a visual technique that uses linear approximation to find the square root of a whole number by looking at nested perfect square arrays. Can you prove why this works? To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! #manim #math #mathshorts #mathvideo #algebra #calculus #mtbos #manim #animation #theorem #iteachmath #spiral #logarithm #square #root #squareroot #function To learn more about animating with manim, check out: https://manim.community13649 (1.4만)106게시물 보기
중복 제외 실제 조회수입니다.3636 (3천)Logarithmic spiral | Spira Mirabilis This is a visualization of a self-similar curve known as a logarithmic spiral or spira mirabilis. To learn more about logarithmic spirals, check out the wikipedia site or mathworld: https://en.wikipedia.org/wiki/Logarithmic_spiral https://mathworld.wolfram.com/LogarithmicSpiral.html To buy me a coffee, head over to https://www.buymeacoffee.com/VisualProofs Thanks! #manim #math #mathshorts #mathvideo #construction #calculus #mtbos #manim #animation #theorem #iteachmath #spiral #logarithm #logarithmicspiral #polarequation #polarcurve #function To learn more about animating with manim, check out: https://manim.community408 3게시물 보기
중복 제외 실제 조회수입니다.9165 (9천)Dudeney’s Hinged Dissection A dancing version of Dudeney’s famous dissection that shows an equilateral triangle hinge into a perfect square. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! #math #manim #animation #theorem #iteachmath #mathematics ##mathshorts #mathvideo #mtbos #mathematician #dissection #proof #hinge To learn more about animating with manim, check out: https://manim.community684 7게시물 보기
중복 제외 실제 조회수입니다.29437 (2.9만)In this short, we show five different graphs of functions with a point where the function is not differentiable. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! #math #manim #animation #theorem #iteachmath #mathematics ##mathshorts #mathvideo #mtbos #mathematician #calculus #differentiability #functions #derivative #discontinuity #cusp #verticalasymptote #tangentline To learn more about animating with manim, check out: https://manim.community2503 (2천)31게시물 보기
중복 제외 실제 조회수입니다.15631 (1.6만)Cannonball Problem! In this short, we show the only nontrivial solution to the cannonball problem, which asks for numbers that are simultaneously square pyramidal and square. The problem gets its name because cannonballs stack nicely in square pyramidal arrays. Can you prove that 0,1, and 4900 are the only such solutions to the problem? If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! #math #manim #animation #theorem #iteachmath #mathematics ##mathshorts #mathvideo #mtbos #mathematician #squarepyramidal #numbertheory #cannonballproblem #cannonballrun To learn more about animating with manim, check out: https://manim.community1248 (1천)13게시물 보기