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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 mathematical beauty, motivated by beauty. Mathematics can be discerned in arts such as Music and mathematics, music, dance, painting, Mathematics and architecture, architecture, sculpture, and Mathematics and fiber arts, textiles. This article focuses, however, on mathematics in the visual arts. Mathematics and art have a long historical relationship. List of mathematical artists, Artists have used mathematics since the 4th century BC when the Greek sculpture, sculptor Polykleitos wrote Polykleitos#Canon of Polykleitos, his ''Canon'', prescribing proportions Polykleitos#Conjectured reconstruction, 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 div ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piero Della Francesca
Piero della Francesca ( , ; ; ; – 12 October 1492) was an Italian Renaissance painter, Italian painter, mathematician and List of geometers, geometer of the Early Renaissance, nowadays chiefly appreciated for his art. His painting is characterized by its serene humanism, its use of geometric forms and Perspective (graphical), perspective. His most famous work is the cycle of frescoes ''The History of the True Cross'' in the Basilica of San Francesco, Arezzo, Basilica of San Francesco in the Tuscany, Tuscan town of Arezzo. Biography Early years Piero was born Piero di Benedetto in the town of Sansepolcro, 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 Lisa d ... [...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 (called cross stitches) in a tiled, raster graphics, raster-like pattern are used to form a picture. The stitcher counts the threads on a piece of even-weave, 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 te ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Knitting
Knitting is a method for production of textile Knitted fabric, fabrics by interlacing yarn loops with loops of the same or other yarns. It is used to create many types of garments. Knitting may be done Hand knitting, by hand or Knitting machine, by machine. Knitting creates Stitch (textile arts), stitches: loops of yarn in a row; they can be either on straight flat needles or in ''the round'' on needles with (often times plastic) tubes connected to both ends of the Knitting needle, needles. 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, Yarn weight, ''w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quilting
Quilting is the process of joining a minimum of three layers of textile, fabric together either through stitching manually using a Sewing needle, needle and yarn, 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 (material), 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, including bed coverings, home furnishings, garments and costumes, wall hangings, Quilt art, artistic objects, and cultural artifacts. A quilter can employ a wide range of effects that contribute to the quality and utility of the final quilted material. To create these ef ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piet Mondrian
Pieter Cornelis Mondriaan (; 7 March 1872 – 1 February 1944), known after 1911 as Piet Mondrian (, , ), was a Dutch Painting, painter and Theory of art, art theoretician who is regarded as one of the greatest artists of the 20th century. He was 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 Spirituality, 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." He was a contributor to the ''De Stij ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theo Van Doesburg
Theo van Doesburg (; born Christian Emil Marie Küpper; 30 August 1883 – 7 March 1931) was a Dutch painter, writer, poet and architect. He is best known as the founder and leader of De Stijl. He married three times. Personal life Theo van Doesburg was born Christian Emil Marie Küpper on 30 August 1883, in Utrecht, Netherlands, as the son of the photographer Wilhelm Küpper 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". Van Doesburg married three times: on 4 May 1910 to theosophist, poet and writer Agnita Henrica Feis; on 30 May 1917 to accountant Helena 'Lena' Milius; and on 24 November 1928 to artist, pianist and choreographer Petronella 'Nelly' Johanna van Moorsel. Career His first exhibition was in 1908. From 1912 onwards ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
De Stijl
De Stijl (, ; 'The Style') was a Dutch art movement founded in 1917 by a group of artists and architects based in Leiden (Theo van Doesburg, Jacobus Oud, J.J.P. Oud), Voorburg (Vilmos Huszár, Jan Wils) and Laren, North Holland, Laren (Piet Mondrian, Bart van der Leck). ''De Stijl'' was also the name of a journalpublished by the Dutch painter, designer, writer, poet and critic Theo van Doesburgthat propagated the group's theories. Along with van Doesburg, the group's principal members were the painters Piet Mondrian, Vilmos Huszár, Bart van der Leck, the architects Jacobus Oud, J.J.P. Oud, Jan Wils, Gerrit Rietveld, Robert van 't Hoff, the sculptor and painter Georges Vantongerloo, and the poet and writer Antony Kok. The art theory that formed the basis for the group's work was originally known as in Dutch; it was later translated to Neoplasticism in English. This theory was subsequently extended to encompass the principles of Elementarism. Principles and influences Mon ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperbolic Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or János Bolyai, Bolyai–Nikolai Lobachevsky, 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.) The hyperbolic plane is a plane (mathematics), plane where every point is a saddle point. Hyperbolic plane geometry is also the geometry of pseudosphere, pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they local property, locally resemble the hyperbolic plane. The hyperboloid model of hyperbolic geometry provides a representation of event (relativity ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tessellation
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called ''tiles'', with no overlaps and no gaps. In mathematics, tessellation can be generalized to 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 (an aperiodic set of prototiles). 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 as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graphic Artist
A graphic designer is a practitioner who follows the discipline of graphic design, either within companies or organizations or independently. They are professionals in design and visual communication, with their primary focus on transforming linguistic messages into graphic manifestations, whether tangible or intangible. They are responsible for planning, designing, projecting, and conveying messages or ideas through visual communication. Graphic design is one of the most in-demand professions with significant job opportunities, as it allows leveraging technological advancements and working online from anywhere in the world. Education Referring back to the history of graphic design development, it is evident that the design field was always a skill demanding profession due to variability of printing responsibilities. Unlike pre digital era, where design craft was rather an exclusive practice, the current situation in the field is more accessible and welcoming for everyone. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Melencolia I
''Melencolia I'' is a large 1514 engraving by the German Renaissance artist Albrecht Dürer. Its 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; the woman may ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
