Applied mathematics | Mathematics and art
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts. Mathematics and art have a long historical relationship. Artists have used mathematics since the 4th century BC when the Greek sculptor Polykleitos wrote his Canon, prescribing proportions conjectured to have been based on the ratio 1:√2 for the ideal male nude. Persistent popular claims have been made for the use of the golden ratio in ancient art and architecture, without reliable evidence. In the Italian Renaissance, Luca Pacioli wrote the influential treatise De divina proportione (1509), illustrated with woodcuts by Leonardo da Vinci, on the use of the golden ratio in art. Another Italian painter, Piero della Francesca, developed Euclid's ideas on perspective in treatises such as De Prospectiva Pingendi, and in his paintings. The engraver Albrecht Dürer made many references to mathematics in his work Melencolia I. In modern times, the graphic artist M. C. Escher made intensive use of tessellation and hyperbolic geometry, with the help of the mathematician H. S. M. Coxeter, while the De Stijl movement led by Theo van Doesburg and Piet Mondrian explicitly embraced geometrical forms. Mathematics has inspired textile arts such as quilting, knitting, cross-stitch, crochet, embroidery, weaving, Turkish and other carpet-making, as well as kilim. In Islamic art, symmetries are evident in forms as varied as Persian girih and Moroccan zellige tilework, Mughal jali pierced stone screens, and widespread muqarnas vaulting. Mathematics has directly influenced art with conceptual tools such as linear perspective, the analysis of symmetry, and mathematical objects such as polyhedra and the Möbius strip. Magnus Wenninger creates colourful stellated polyhedra, originally as models for teaching. Mathematical concepts such as recursion and logical paradox can be seen in paintings by René Magritte and in engravings by M. C. Escher. Computer art often makes use of fractals including the Mandelbrot set, and sometimes explores other mathematical objects such as cellular automata. Controversially, the artist David Hockney has argued that artists from the Renaissance onwards made use of the camera lucida to draw precise representations of scenes; the architect Philip Steadman similarly argued that Vermeer used the camera obscura in his distinctively observed paintings. Other relationships include the algorithmic analysis of artworks by X-ray fluorescence spectroscopy, the finding that traditional batiks from different regions of Java have distinct fractal dimensions, and stimuli to mathematics research, especially Filippo Brunelleschi's theory of perspective, which eventually led to Girard Desargues's projective geometry. A persistent view, based ultimately on the Pythagorean notion of harmony in music, holds that everything was arranged by Number, that God is the geometer of the world, and that therefore the world's geometry is sacred. (Wikipedia).
Normally, when you think about math, the word "creativity" doesn't readily come to mind. Playing his best devil's advocate, Robert Krulwich challenges the panel to explain the "beauty" of a formula or the "elegance" of a proof. Is math a kind of art? Can a great mathematical idea be compar
From playlist Mathematics
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: Mathematics
Putting an opinion on YouTube - what could possibly go wrong! This is a bit more bloggy than I usually like to do. I'll be back next time with some proper mathematics. "What is the point of mathematics?"
From playlist My Maths Videos
Using Algebra and Geometry in the Real World
You hear terms like “algebra” and “geometry” and these theories we memorized in high school start to dance a jig in our heads – a jig many of us weren’t overly interested in! But the past decade has seen an explosion of applications of algebra, geometry, and topology to the real world, lik
From playlist What is math used for?
What's the difference between maths and science? Free ebook http://tinyurl.com/VectorsYT
From playlist Math is Fun!
The Impact of Mathematics on the World Around You
What can the STEM field do for humanity? How does the work professionals in the mathematical sciences are doing impact communities, countries, and the world? Applied math contributes to almost every aspect of our lives. Learn more from leading researchers and mathematicians who are making
From playlist What is math used for?
"Das Mädchen mit den Taschenrechnern"
Prof. Günter M. Ziegler (FU Berlin) stellte am 3. Juni 2015 auf Einladung des Hausdorff Centers in der Bundeskunsthalle Bonn Auszüge aus seinem neuen Buch "Mathematik - Das ist doch keine Kunst!" vor und erläuterte dabei die Mathematik hinter einigen weltberühmten Kunstwerken.
From playlist Hausdorff Center goes public
Jessica Sklar - Mathematical Art Inspirations, Instantiations, and Installations - CoM Feb 2022
During 2020, while the world shut down, creativity flourished. Choral groups sang over Zoom, friends attended virtual cocktail hours, and mathematicians and artists spent their lockdown hours knitting, painting, and constructing wonders. In this talk, I’ll show and discuss pieces by QED A
From playlist Celebration of Mind
Mathematicians helping Art Historians and Art Conservators - Ingrid Daubechies (Duke University)
Mathematicians have helped art historians and art conservators reconstruct the famous Mantegna frescos, shattered into thousands of fragments by WWII bombing. Algorithms have helped to identify "roll mates" - paintings whose canvases were cut from the same bolt - to remove virtually artifa
From playlist Mathematics Research Center
Carolyn Yackel - Using Mathematics to Inform Fiber Arts Work - G4G14 Apr 2022
Using an example of itajime shibori the presenter will describe a project in which recognizing the role played by a mathematical concept limited the possible outcomes she could achieve and helped her to achieve all possible outcomes. Thereby she advocates the depth of mathematics that can
From playlist G4G14 Videos
Why do people hate mathematics?
Featuring Professor Edward Frenkel, from the University of California, Berkeley. Author of Love & Math. http://amzn.to/1g6XP6j With thanks to http://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ Support us on Patreon: http://www.patreon.com/numberphile NUM
From playlist Edward Frenkel on Numberphile
Perspectives in Math and Art by Supurna Sinha
KAAPI WITH KURIOSITY PERSPECTIVES IN MATH AND ART SPEAKER: Supurna Sinha (Raman Research Institute, Bengaluru) WHEN: 4:00 pm to 5:30 pm Sunday, 24 April 2022 WHERE: Jawaharlal Nehru Planetarium, Bengaluru Abstract: The European renaissance saw the merging of mathematics and art in th
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
Cascading Principles - Conrad Shawcross, Martin Bridson and James Sparks with Fatos Ustek
Whether a mathematician or an artist, when you begin you often don't know where you'll end up. In this fascinating discussion, artist Conrad Shawcross and mathematicians Martin Bridson and James Sparks explore connections between mathematics and art. An exhibition of Conrad's mathematical
From playlist Oxford Mathematics Public Lectures
Panorama of Mathematics: Ingrid Daubechies
Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Ingrid Daubechies: "Mathema
From playlist Panorama of Mathematics
What is Mathematics, Really? #SoME2
"What is mathematics?" and "What do mathematicians do?" Mathematics seems daunting or deeply nerdy. In my view, it's another way to look at the world, the same as art or science. Let's do some mathematics ourselves, speeding through the process from asking a question to telling others what
From playlist Summer of Math Exposition 2 videos
From playlist Art Quizzes