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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: 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 treat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piero Della Francesca
Piero della Francesca (, also , ; – 12 October 1492), originally named Piero di Benedetto, was an Italian painter of the Early Renaissance. To contemporaries he was also known as a mathematician and geometer. Nowadays Piero della Francesca is chiefly appreciated for his art. His painting is characterized by its serene humanism, its use of geometric forms and perspective. His most famous work is the cycle of frescoes ''The History of the True Cross'' in the church of San Francesco in the Tuscan town of Arezzo. Biography Early years Piero was born Piero di Benedetto in the town of Borgo Santo Sepolcro, modern-day Tuscany, to Benedetto de' Franceschi, a tradesman, and Romana di Perino da Monterchi, members of the Florentine and Tuscan Franceschi noble family. His father died before his birth, and he was called Piero della Francesca after his mother, who was referred to as "la Francesca" due to her marriage into the Franceschi family (similar to how Lisa Gherardini became kno ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cross-stitch
Cross-stitch is a form of sewing and a popular form of counted-thread embroidery in which X-shaped stitches in a tiled, raster-like pattern are used to form a picture. The stitcher counts the threads on a piece of evenweave fabric (such as linen) in each direction so that the stitches are of uniform size and appearance. This form of cross-stitch is also called counted cross-stitch in order to distinguish it from other forms of cross-stitch. Sometimes cross-stitch is done on designs printed on the fabric (stamped cross-stitch); the stitcher simply stitches over the printed pattern. Cross-stitch is often executed on easily countable fabric called aida cloth whose weave creates a plainly visible grid of squares with holes for the needle at each corner. Fabrics used in cross-stitch include linen, aida cloth, and mixed-content fabrics called 'evenweave' such as jobelan. All cross-stitch fabrics are technically "evenweave" as the term refers to the fact that the fabric is woven to mak ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Knitting
Knitting is a method by which yarn is manipulated to create a textile, or fabric. It is used to create many types of garments. Knitting may be done by hand or by machine. Knitting creates stitches: loops of yarn in a row, either flat or in ''the round'' (tubular). There are usually many ''active stitches'' on the knitting needle at one time. Knitted fabric consists of a number of consecutive rows of connected loops that intermesh with the next and previous rows. As each row is formed, each newly created loop is pulled through one or more loops from the prior row and placed on the ''gaining needle so'' that the loops from the prior row can be pulled off the other needle without unraveling. Differences in yarn (varying in fibre type, ''weight'', uniformity and ''twist''), needle size, and stitch type allow for a variety of knitted fabrics with different properties, including color, texture, thickness, heat retention, water resistance, and integrity. A small sample of kn ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quilting
Quilting is the term given to the process of joining a minimum of three layers of fabric together either through stitching manually using a needle and thread, or mechanically with a sewing machine or specialised longarm quilting system. An array of stitches is passed through all layers of the fabric to create a three dimensional padded surface. The three layers are typically referred to as the top fabric or quilt top, batting or insulating material and the backing. Quilting varies from a purely functional fabric joinery technique to highly elaborate, decorative three dimensional surface treatments. A wide variety of textile products are traditionally associated with quilting that includes bed coverings, soft home furnishings, garments and costumes, wall hangings, artistic objects and cultural artefacts. A wide range of effects can be employed by the quilter that contribute to the final surface quality and utility of the quilted material. The quilter controls these effect ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piet Mondrian
Pieter Cornelis Mondriaan (), after 1906 known as Piet Mondrian (, also , ; 7 March 1872 – 1 February 1944), was a Dutch painter and art theoretician who is regarded as one of the greatest artists of the 20th century. He is known for being one of the pioneers of 20th-century abstract art, as he changed his artistic direction from figurative painting to an increasingly abstract style, until he reached a point where his artistic vocabulary was reduced to simple geometric elements. Mondrian's art was highly utopian and was concerned with a search for universal values and aesthetics. He proclaimed in 1914: "Art is higher than reality and has no direct relation to reality. To approach the spiritual in art, one will make as little use as possible of reality, because reality is opposed to the spiritual. We find ourselves in the presence of an abstract art. Art should be above reality, otherwise it would have no value for man." His art, however, always remained rooted in nature. H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theo Van Doesburg
Theo van Doesburg (, 30 August 1883 – 7 March 1931) was a Dutch artist, who practiced painting, writing, poetry and architecture. He is best known as the founder and leader of De Stijl. He was married to artist, pianist and choreographer Nelly van Doesburg. Early life Theo van Doesburg was born Christian Emil Marie Küpper on 30 August 1883, in Utrecht, Netherlands, as the son of the photographer and Henrietta Catherina Margadant. After a short period of training in acting and singing, he decided to become a storekeeper. He always regarded his stepfather, Theodorus Doesburg, to be his natural father, so that his first works are signed with Theo Doesburg, to which he later added "van". Career His first exhibition was in 1908. From 1912 onwards, he supported his works by writing for magazines. He considered himself to be a modern painter, at that time, although his early work is in line with the Amsterdam Impressionists and is influenced by Vincent van Gogh, both in style ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
De Stijl
''De Stijl'' (; ), Dutch for "The Style", also known as Neoplasticism, was a Dutch art movement founded in 1917 in Leiden. De Stijl consisted of artists and architects. In a more narrow sense, the term ''De Stijl'' is used to refer to a body of work from 1917 to 1931 founded in the Netherlands. Proponents of De Stijl advocated pure abstraction and universality by a reduction to the essentials of form and colour; they simplified visual compositions to vertical and horizontal, using only black, white and primary colors. ''De Stijl'' is also the name of a journal that was published by the Dutch painter, designer, writer, and critic Theo van Doesburg that served to propagate the group's theories. Along with van Doesburg, the group's principal members were the painters Piet Mondrian, Vilmos Huszár, Bart van der Leck, and the architects Gerrit Rietveld, Robert van 't Hoff, and J. J. P. Oud. The artistic philosophy that formed a basis for the group's work is known as ''Neoplasticism ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperbolic Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their geomet ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tessellation
A tessellation or tiling is the covering of a surface, often a plane (mathematics), plane, using one or more geometric shapes, called ''tiles'', with no overlaps and no gaps. In mathematics, tessellation can be generalized to high-dimensional spaces, higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include ''regular tilings'' with regular polygonal tiles all of the same shape, and ''semiregular tilings'' with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An ''aperiodic tiling'' uses a small set of tile shapes that cannot form a repeating pattern. A ''tessellation of space'', also known as a space filling or honeycomb, can be defined in the geometry of higher dimensions. A real physical tessellation is a tiling made of materials such a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graphic Artist
A graphic designer is a professional within the graphic design and graphic arts industry who assembles together images, typography, or motion graphics to create a piece of design. A graphic designer creates the graphics primarily for published, printed, or electronic media, such as brochures and advertising. They are also sometimes responsible for typesetting, illustration, user interfaces. A core responsibility of the designer's job is to present information in a way that is both accessible and memorable. Qualifications Designers should be able to solve visual communication problems or challenges. In doing so, the designer must identify the communications issue, gather and analyze information related to the issue, and generate potential approaches aimed at solving the problem. Iterative prototyping and user testing can be used to determine the success or failure of a visual solution. Approaches to a communications problem are developed in the context of an audience and a medi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Melencolia I
''Melencolia I'' is a large 1514 engraving by the German Renaissance artist Albrecht Dürer. The print's central subject is an enigmatic and gloomy winged female figure thought to be a personification of melancholia – melancholy. Holding her head in her hand, she stares past the busy scene in front of her. The area is strewn with symbols and tools associated with craft and carpentry, including an hourglass, weighing scales, a hand plane, a claw hammer, and a saw. Other objects relate to alchemy, geometry or numerology. Behind the figure is a structure with an embedded magic square, and a ladder leading beyond the frame. The sky contains a rainbow, a comet or planet, and a bat-like creature bearing the text that has become the print's title. Dürer's engraving is one of the most well-known extant old master prints, but, despite a vast art-historical literature, it has resisted any definitive interpretation. Dürer may have associated melancholia with creative activity; th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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