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Truchet Tiles
In information visualization and graphic design, Truchet tiles are square tiles decorated with patterns that are not rotationally symmetric. When placed in a square tiling of the plane, they can form varied patterns, and the orientation of each tile can be used to visualize information associated with the tile's position within the tiling.. Truchet tiles were first described in a 1704 memoir by Sébastien Truchet entitled "Mémoire sur les combinaisons", and were popularized in 1987 by Cyril Stanley Smith.. With a translation of Truchet's text by Pauline Boucher. Variations Contrasting triangles The tile originally studied by Truchet is split along the diagonal into two triangles of contrasting colors. The tile has four possible orientations. Some examples of surface filling made tiling such a pattern. With a scheme: With random placement: Quarter-circles A second common form of the Truchet tiles, due to , decorates each tile with two quarter-circles connecting the midpoint ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Information Visualization
Information is an abstract concept that refers to that which has the power to inform. At the most fundamental level information pertains to the interpretation of that which may be sensed. Any natural process that is not completely random, and any observable pattern in any medium can be said to convey some amount of information. Whereas digital signals and other data use discrete signs to convey information, other phenomena and artifacts such as analog signals, poems, pictures, music or other sounds, and currents convey information in a more continuous form. Information is not knowledge itself, but the meaning that may be derived from a representation through interpretation. Information is often processed iteratively: Data available at one step are processed into information to be interpreted and processed at the next step. For example, in written text each symbol or letter conveys information relevant to the word it is part of, each word conveys information relevant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Black Path Game
The Black Path Game (also known by various other names, such as Brick) is a two-player board game described and analysed in '' Winning Ways for your Mathematical Plays''. It was invented by Larry Black in 1960.. It has also been reported that a game known as "Black" or "Black's Game" was invented in 1960 by William L. Black. This "William L. Black" (possibly known as "Larry") was at that time an undergraduate at the Massachusetts Institute of Technology, investigating ''Hex'' and ''Bridg-It'', two games based on the challenge to create a connected "chain" of counters that link opposite sides of a game board. The creative outcome of Black's research was a new topological game that his friends (perhaps unimaginatively) called ''Black''. The game was introduced to the public by Martin Gardner in his October 1963 "Mathematical Games column" in ''Scientific American''. Rules The Black Path Game is played on a board ruled into squares. One edge on the boundary of the board is designate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wang Tiles
Wang tiles (or Wang dominoes), first proposed by mathematician, logician, and philosopher Hao Wang (academic), Hao Wang in 1961, are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, ''without'' rotating or reflecting them. The basic question about a set of Wang tiles is whether it can tessellation, tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern. Domino problem In 1961, Wang conjectured that if a finite set of Wang tiles can tile the plane, then there also exists a tessellation, ''periodic'' tiling, which, mathematically, is a tiling that is invariant under translations by vectors in a 2-dimensional lattice. This can be likened to the periodic tiling in a wallpaper pattern, where the overall pattern is a repetition of some ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wallpaper Group
A wallpaper is a mathematical object covering a whole Euclidean plane by repeating a motif indefinitely, in manner that certain isometries keep the drawing unchanged. To a given wallpaper there corresponds a group of such congruent transformations, with function composition as the group operation. Thus, a wallpaper group (or plane symmetry group or plane crystallographic group) is in a mathematical classification of a two‑dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art, especially in textiles, tessellations and tiles as well as wallpaper. What this page calls pattern Any periodic tiling can be seen as a wallpaper. More particularly, we can consider as a wallpaper a tiling by identical tiles edge‑to‑edge, necessarily periodic, and conceive from it a wallpaper by decorating in the same manner every tiling element, and eventually erase partly or entirely the bou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Girih Tiles
''Girih'' tiles are a set of five tiles that were used in the creation of Islamic geometric patterns using strapwork (''girih'') for decoration of buildings in Islamic architecture. They have been used since about the year 1200 and their arrangements found significant improvement starting with the Darb-i Imam shrine in Isfahan in Iran built in 1453. Five tiles The five shapes of the tiles are: * a regular decagon with ten interior angles of 144°; * an elongated (irregular convex) hexagon with interior angles of 72°, 144°, 144°, 72°, 144°, 144°; * a bow tie (non-convex hexagon) with interior angles of 72°, 72°, 216°, 72°, 72°, 216°; * a rhombus with interior angles of 72°, 108°, 72°, 108°; and * a regular pentagon with five interior angles of 108°. These modules have their own specific Persian language, Persian names: The quadrilateral tile is called Torange, the pentagonal tile is called Pange, the concave octagonal tile is called Shesh Band, the bow tie tile ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Concrete Poetry
Concrete poetry is an arrangement of linguistic elements in which the typographical effect is more important in conveying meaning than verbal significance. It is sometimes referred to as visual poetry, a term that has now developed a distinct meaning of its own. Concrete poetry relates more to the visual than to the verbal arts although there is a considerable overlap in the kind of product to which it refers. Historically, however, concrete poetry has developed from a long tradition of shaped or patterned poems in which the words are arranged in such a way as to depict their subject. Development Though the term ‘concrete poetry’ is modern, the idea of using letter arrangements to enhance the meaning of a poem is old. Such shaped poetry was popular in Greek Alexandria during the 3rd and 2nd centuries BCE, although only the handful which were collected together in the Greek Anthology now survive. Examples include poems by Simmias of Rhodes in the shape of an egg, wings and a ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
BASIC
BASIC (Beginners' All-purpose Symbolic Instruction Code) is a family of general-purpose, high-level programming languages designed for ease of use. The original version was created by John G. Kemeny and Thomas E. Kurtz at Dartmouth College in 1963. They wanted to enable students in non-scientific fields to use computers. At the time, nearly all computers required writing custom software, which only scientists and mathematicians tended to learn. In addition to the program language, Kemeny and Kurtz developed the Dartmouth Time Sharing System (DTSS), which allowed multiple users to edit and run BASIC programs simultaneously on remote terminals. This general model became very popular on minicomputer systems like the PDP-11 and Data General Nova in the late 1960s and early 1970s. Hewlett-Packard produced an entire computer line for this method of operation, introducing the HP2000 series in the late 1960s and continuing sales into the 1980s. Many early video games trace their ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Commodore 64
The Commodore 64, also known as the C64, is an 8-bit home computer introduced in January 1982 by Commodore International (first shown at the Consumer Electronics Show, January 7–10, 1982, in Las Vegas). It has been listed in the Guinness World Records as the highest-selling single computer model of all time, with independent estimates placing the number sold between 12.5 and 17 million units. Volume production started in early 1982, marketing in August for . Preceded by the VIC-20 and Commodore PET, the C64 took its name from its of RAM. With support for multicolor sprites and a custom chip for waveform generation, the C64 could create superior visuals and audio compared to systems without such custom hardware. The C64 dominated the low-end computer market (except in the UK and Japan, lasting only about six months in Japan) for most of the later years of the 1980s. For a substantial period (1983–1986), the C64 had between 30% and 40% share of the US market and two mil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nick Montfort
Nick Montfort is a poet and professor of digital media at MIT, where he directs a lab called The Trope Tank. He also holds a part-time position at the University of Bergen where he leads a node on computational narrative systems at the Center for Digital Narrative. Among his publications are seven books of computer-generated literature and six books from the MIT Press, several of which are collaborations. His work also includes digital projects, many of them in the form of short programs. He lives in New York City. Computer-generated books Montfort's ''The Truelist'' (Counterpath, 2017) is a computer-generated book-length poem produced by a one-page computer program. The code is included at the end of the book. Montfort has also done a complete studio recording reading ''The Truelist,'' available at PennSound. Among Montfort's computer-generated books is ''#!'' (pronounced "shebang"), in which he "chooses the programming languages Python, Ruby, and Perl (the last of which has ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Percolation Theory
In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnected clusters merge into significantly larger connected, so-called spanning clusters. The applications of percolation theory to materials science and in many other disciplines are discussed here and in the articles network theory and percolation. Introduction A representative question (and the source of the name) is as follows. Assume that some liquid is poured on top of some porous material. Will the liquid be able to make its way from hole to hole and reach the bottom? This physical question is modelled mathematically as a three-dimensional network of vertices, usually called "sites", in which the edge or "bonds" between each two neighbors may be open (allowing the liquid through) with probability , or closed with probability , and th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Labyrinth
In Greek mythology, the Labyrinth (, ) was an elaborate, confusing structure designed and built by the legendary artificer Daedalus for King Minos of Crete at Knossos. Its function was to hold the Minotaur, the monster eventually killed by the hero Theseus. Daedalus had so cunningly made the Labyrinth that he could barely escape it after he built it. Although early Cretan coins occasionally exhibit branching (multicursal) patterns, the single-path (unicursal) seven-course "Classical" design without branching or dead ends became associated with the Labyrinth on coins as early as 430 BC, and similar non-branching patterns became widely used as visual representations of the Labyrinth – even though both logic and literary descriptions make it clear that the Minotaur was trapped in a complex branching maze. Even as the designs became more elaborate, visual depictions of the mythological Labyrinth from Roman times until the Renaissance are almost invariably unicursal. Branching ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
