Mathematics and art are related in a variety of ways.
Matematika dan seni memiliki banyak hubungan dalam beberapa cara.
Mathematics has itself been described as an art motivated by beauty.
Matematika sendiri dideskripsikan sebagai seni yang dimotivasi oleh keindahan.
Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles.
Matematika dapat terlihat di dalam seni, seperti musik, menari, melukis, arsitektur, patung, dan tekstil.
Mathematics and art have a long historical relationship.
Matematika dan seni memiliki hubungan sejarah yang panjang.
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.
Artis telah menggunakan matematika sejak abad ke-4 SM saat pematung Yunani Polykleitos menulis Canon, menulis resep proporsi berdasarkan rasio 1:√2 terhadap pria telanjang ideal.
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.
Dalam Renaisans Italia, Luca Pacioli menulis risalah berpengaruh De Divina Proportione (1509), berilustrasikan ukiran kayu oleh Leonardo da Vinci, dengan menggunakan golden ratio di seni.
Another Italian painter, Piero della Francesca, developed Euclid's ideas on perspective in treatises such as De Prospectiva Pingendi, and in his paintings.
Pelukis Italia lainnya, Piero della Francesca, mengembangkan ide-de Euklides tentang perspektif dalam risalah seperti De Prospectiva Pingendi, dan dalam lukisannya.
The engraver Albrecht Dürer made many references to mathematics in his work Melencolia I.
Pengukir Albrecht Durer membuat banyak referensi ke matematika dalam karyanya Melencolia I. Di zaman modern, desainer grafis M.C.
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.
Escher membuat pemakaian intensif teselasi dan goemetri hiperbolik, dengan bantuan matematikawan H.S. M. Coxeter, sementara gerakan De Stijl yang dipimpin oleh Theo van Doesburg dan Piet Mondrian secara eksplisit menganut bentuk geometris.
Mathematics has inspired textile arts such as quilting, knitting, cross-stitch, crochet, embroidery, weaving, Turkish and other carpet-making, as well as kilim.
Matematika banyak menginspirasi seni tekstil seperti quilting, knitting, cross-stitch, crochet, embroidery, weaving, Turkish dan berbagai pembuatan karpet, seperti 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.
Dalam seni rupa Islami, simetris adalah bukti dalam bentuk bervariasi sebagaimana girih Persia dan zellige tilework, Mughal jali, dan kubah muqarnas.
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.
Matematika secara langsung memengaruhi seni dengan berbagai alat konseptual seperti perspektif linear, analisis simetri, dan objek matematis seperti polihedron dan pita Möbius.
Mathematical concepts such as recursion and logical paradox can be seen in paintings by René Magritte and in engravings by M. C. Escher.
Konsep matematika seperti rekursi dan paradox logis yang bisa dilihat dari lukisan Rene Magritte dan dalam ukiran oleh M.C. Escher.
Computer art often makes use of fractals including the Mandelbrot set, and sometimes explores other mathematical objects such as cellular automata.
Seni komputer sering membuat pemakaian fraktal termasuk himpunan Mandelbrot, dan sering kali menyelidiki berbagai objek matematika seperti automata seluler.
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.
Secara kontroversial, seniman David Hockney berpendapat bahwa seniman dari zaman Renaisans dan seterusnya menggunakan kamera lucida untuk menggambar representasi adegan yang tepat; arsitek Philip Steadman juga berpendapat bahwa Vermeer menggunakan kamera obscura dalam lukisan-lukisannya yang diamati secara khusus.
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.
Pandangan gigi yang berdasarkan pada gagasan Pythagoras tentang harmoni dalam musik, menyatakan bahwa segala sesuatu diatur oleh angka, bahwa Tuhan adalah geometer dunia, dan oleh karena itu geometri dunia itu sakral seperti terlihat dalam karya seni William Blake, Ancient of Days.
" Mathematics can be discerned in many of the arts, such as music, dance, painting, architecture, and sculpture.
Matematika dapat terlihat di dalam seni, seperti musik, menari, melukis, arsitektur, patung, dan tekstil.
List of mathematical art software Mathematics and architecture Music and mathematics Bridges Organization conference on connections between art and mathematics Bridging the Gap Between Math and Art – Slide Show from Scientific American Discovering the Art of Mathematics Mathematics and Art – AMS Mathematics and Art – Cut-the-Knot Mathematical Imagery – American Mathematical Society Mathematics in Art and Architecture – National University of Singapore Mathematical Art – Virtual Math Museum When art and math collide – Science News Why the history of maths is also the history of art: Lynn Gamwell in The Guardian
Bridges Organization conference on connections between art and mathematics Bridging the Gap Between Math and Art–Slide Show from Scientific American Connections in Space–topology in art Discovering the Art of Mathematics Mathematics and Art–AMS Mathematics and Art–Cut-the-Knot Mathematical Imagery–American Mathematical Society Mathematics in Art and Architecture–National University of Singapore Mathematical Art–Virtual Math Museum When art and math collide–Science News Why the history of maths is also the history of art: Lynn Gamwell in The Guardian