The Relationship Between Math and Art
Math and art are interconnected in their pursuit of creativity and expression. While math seeks patterns, art articulates through these patterns to represent reality. Artists like Leonardo da Vinci and M.C. Escher have shown how mathematical concepts influence artistic creations, blurring the lines between logic and imagination.
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Presentation Transcript
Math Inquiry: What is the relationship between math and art? -Adelyn
Art Math / rt/ /maTH( ) madiks/ noun Origin Middle English: via Old French from Latin ars, art- . noun Origin late 16th century: plural of obsolete mathematic mathematics, from Old French mathematique, from Latin (ars) mathematica mathematical (art), from Greek math matik (tekhn ), from the base of manthanein learn. 1. the expression or application of human creative skill and imagination, producing works to be appreciated primarily for their beauty or emotional power. "the art of the Renaissance" 1. the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics ). 2. "the mathematics of general relativity" the various branches of creative activity, such as painting, music, literature, and dance. "the visual arts 2. "I would say math is both an art (a system of skills used to do calculations, devise proofs, and so on) and a science (a system of knowledge about numbers, shapes, and other abstract entities, and a way of gaining that knowledge). That is, it's both a way of doing (an art) and a way of learning (a science)." 3. Art is not, as the metaphysicians say, the manifestation of some mysterious idea of beauty or God; it is not, as the aesthetical physiologists say, a game in which man lets off his excess of stored-up energy; it is not the expression of man s emotions by external signs; it is not the production of pleasing objects; and, above all, it is not pleasure; but it is a means of union among men, joining them together in the same feelings, and indispensable for the life and progress toward well-being of individuals and of humanity. 3. "Math is the entire world simplified on a piece of paper... Math is ingeniousness morphed into a tiny simple formula so we can harness its fantastic powers."
Drawings and Paintings: Mathematics is the science of pattern; painting is articulation through pattern Mathematics and paintings have a common goal, to strive to represent certain aspects of reality that words can t properly explain
Leonardo Da Vinci Some examples of his work - drawn to the golden ratio: The Last Supper, The Vitruvian Man, Mona Lisa
M.C. (Maurits Cornelis) Escher Only used basic drawing tools and the naked eye Played with the division of the plane His drawings appeared possible, but were mathematically not Created many interlocking figures that defied mathematics Examples of his work: - How? He created different dimensions by using black and white to make the mathematically impossible seem possible. Relativity, December 1953 Reptiles, March 1943
Tessellations First used by the Sumerians (about 4000 BC) in building wall decorations formed by patterns of clay tiles In mathematics: A regular tessellation is a symmetric, edge-to-edge tiling only made up of regular polygons of the same shape. Just three regular tessellations: made up of equilateral triangles, squares, or regular hexagons. In art: As well as in architecture, tessellations have been used since ancient times. M.C. Escher also frequently used them in his graphic art.
Digital Art (Computer Aided Drawing (CAD) Early pieces often involved fractals Early days of computer graphics were dominated by scientists and research technicians Often used in games and cinematic productions - The graphics in video games and the computer- generated images (CGI) in films and TV
Photography: Change the shutter speed to adjust how much light is allowed into the camera for a certain time Determine the aperture to adjust the diameter of the lens. The larger it is, the more light is taken in by the lens.
Fashion: When designers buy materials, they need to make sure that the return is substantial enough to cover all the costs of the investment Flat sketches of garments must be mathematically accurate Math is used when creating trim pages, errors can cause huge cost overruns. Designers use trim pages to tell factories the number needed for each garment Fashion designers need a solid understanding of symmetry and geometry They need to add fractions in their heads easily -
Wearable Geometry Amila Hrustic Plato sCollection The collection consists of five unique dresses inspired by Platonic solids (after Plato, the Greek philosopher) There are only five Platonic solids: tetrahedron, cube, octahedron, dodecahedron and icosahedron. Overall, fashion is not relaxing and drawing pretty clothes all day, but a complex job that requires artistic, technical, and business skills. All aspects require arithmetic and math.
Culinary Arts: Aesthetics - Simplicity and complexity are two aesthetics shared between math and culinary arts Problem Solving Conversions & Cost Applied math
Film: Cinematography Formulas - Depth of field Rule of Thirds - Aesthetics Producers - Budget Editors - Reduce countless hours of film to the length of an average movie Animators - Use trigonometry, algebra, calculus, subdivision surfaces, and harmonic coordinates depending on which element of animation https://www.youtube.com/watch?v=BjrVeQ8n5hw 4:48
Performance Art: Geometry and symmetry are the most recurring subfield of mathematics seen in dance - Symmetry is visually appealing, we enjoy looking at symmetrical things because our brains like to look for patterns (Regular geometrical shapes as well) Dancers must be able to count in time to music Because of the fact that dancers change positions in space as time passes, the ensemble can also be seen as a multidimensional dynamical system
Conclusion & Further Questions What forms of art cannot be explained or represented by math? What sort of math cannot be shown by a form of art? Does math in art evolve with time?
References Works Cited Bridges 2012: Mathematics, Music, Art, Architecture, Culture. "The Math in Dance." Mathematics in the World of Dance (n.d.): n. pag. Web. 27 Dec. 2016. <http://archive.bridgesmathart.org/2012/bridges2012-453.pdf>. "Cooking With Math - Math Central." Cooking With Math - Math Central. N.p., n.d. Web. 9 Dec. 2016. <http://mathcentral.uregina.ca/beyond/articles/Cooking/Cooking1.html>. "Digital Art." Digital Art. N.p., n.d. Web. 11 Dec. 2016. <https://plus.maths.org/content/digital-art>. Gonzalez, Robbie. "Why Cooking Is A Lot Like Mathematics." Gizmodo. Io9.gizmodo.com, 19 June 2015. Web. 1 Dec. 2016. <http://io9.gizmodo.com/why-cooking-is-a-lot-like-mathematics- 1712542822>. "How Math Is Related to Fashion." How Math Is Related to Fashion. N.p., n.d. Web. 26 Nov. 2016. <http://fashionandmath.blogspot.ca/p/how-math-is-related-to-fshion.html>. "How to Use Math in a Photography Career." How to Use Math in a Photography Career | Chron.com. N.p., n.d. Web. 02 Dec. 2016. <http://work.chron.com/use-math-photography-career- 23062.html>. Indymogul. "5 Quick Math Tricks for Filmmakers: F-stop, Histogram, Rule of Thirds & More! : Indy News." YouTube. YouTube, 03 Dec. 2012. Web. 30 Nov. 2016. <https://www.youtube.com/watch?v=BjrVeQ8n5hw>. Math Forum. N.p., n.d. Web. 5 Dec. 2016. <http://mathforum.org/sum95/suzanne/whattess.html+-+>. "Math in the Film Industry." Denobis. N.p., 19 May 2014. Web. 27 Dec. 2016. <https://denobis.wordpress.com/2014/05/19/math-in-the-film-industry/>. "Symmetry, Geometry ... Dance?" Maths Careers. N.p., n.d. Web. 02 Jan. 2017. <http://www.mathscareers.org.uk/article/symmetry-geometry-dance/>.
