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Lists Of Shapes
Lists of shapes cover different types of geometric shape and related topics. They include mathematics topics and other lists of shapes, such as shapes used by drawing or teaching tools. Mathematics * List of mathematical shapes * List of two-dimensional geometric shapes ** List of triangle topics ** List of circle topics * List of curves * List of surfaces * List of polygons, polyhedra and polytopes ** List of regular polytopes and compounds Elsewhere * Solid geometry, including table of major three-dimensional shapes * Box-drawing character * Cuisenaire rods (learning aid) * Geometric shape * Geometric Shapes (Unicode block) Geometric Shapes is a Unicode block of 96 symbols at code point range U+25A0–25FF. Font coverage Font sets like Code2000 and the DejaVu fonts, DejaVu family include coverage for each of the glyphs in the Geometric Shapes range. GNU Unifont, ... * Glossary of shapes with metaphorical names * List of symbols * Pattern Blocks (learning aid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stellated Dodecahedra Harmonices Mundi
In geometry, stellation is the process of extending a polygon in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in ''n'' dimensions to form a new figure. Starting with an original figure, the process extends specific elements such as its edges or face planes, usually in a symmetrical way, until they meet each other again to form the closed boundary of a new figure. The new figure is a stellation of the original. The word ''stellation'' comes from the Latin ''stellātus'', "starred", which in turn comes from the Latin ''stella'', "star". Stellation is the reciprocal or dual process to ''faceting''. Kepler's definition In 1619 Kepler defined stellation for polygons and polyhedra as the process of extending edges or faces until they meet to form a new polygon or polyhedron. He stellated the regular dodecahedron to obtain two regular star polyhedra, the small stellated dodecahedron and the great stellated dodecahedron. He also stellated the regular octah ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Regular Polytopes And Compounds
This article lists the regular polytopes in Euclidean geometry, Euclidean, spherical geometry, spherical and hyperbolic geometry, hyperbolic spaces. Overview This table shows a summary of regular polytope counts by rank. There are no Euclidean regular star tessellations in any number of dimensions. 1-polytopes There is only one polytope of rank 1 (1-polytope), the closed line segment bounded by its two endpoints. Every realization of this 1-polytope is regular. It has the Schläfli symbol , or a Coxeter diagram with a single ringed node, . Norman Johnson (mathematician), Norman Johnson calls it a ''dion'' and gives it the Schläfli symbol . Although trivial as a polytope, it appears as the Edge (geometry), edges of polygons and other higher dimensional polytopes. It is used in the definition of prism (geometry), uniform prisms like Schläfli symbol ×, or Coxeter diagram as a Cartesian product of a line segment and a regular polygon. 2-polytopes (polygons) The polytopes o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Symbols
Many (but not all) graphemes that are part of a writing system that encodes a full spoken language are included in the Unicode standard, which also includes graphical symbols. See: * Language code * List of Unicode characters * List of writing systems * Punctuation * List of typographical symbols and punctuation marks The remainder of this list focuses on graphemes not part of spoken language-encoding systems. Basic communication * — No symbol * Character * Circled dot * Emoji ** ☺ — Smiley * ✓ — checkmark (UK: tick) * Harvey balls * ☆ — Star (polygon) * I - signal * 0 - lack of signal, example: Scientific and engineering symbols * Alchemical symbols * Astronomical symbols ** Planet symbols * Chemical symbols * Electronic symbol (for circuit diagrams, etc.) * Engineering drawing symbols * Energy Systems Language * Hazard symbols * List of mathematical constants (typically letters and compound symbols) * Glossary of mathematical symbols * List of ph ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Glossary Of Shapes With Metaphorical Names
Many shapes have metaphorical names, i.e., their names are metaphors: these shapes are named after a most common object that has it. For example, "U-shape" is a shape that resembles the letter U, a bell-shaped curve has the shape of the vertical cross section of a bell, etc. These terms may variously refer to objects, their cross sections or projections. Types of shapes Some of these names are "classical terms", i.e., words of Latin or Ancient Greek etymology. Others are English language constructs (although the base words may have non-English etymology). In some disciplines, where shapes of subjects in question are a very important consideration, the shape naming may be quite elaborate, see, e.g., the taxonomy of shapes of plant leaves in botany. * Astroid * Aquiline, shaped like an eagle's beak (as in a Roman nose) * Bell-shaped curve * Biconic shape, a shape in a way opposite to the hourglass: it is based on two oppositely oriented cones or truncated cones with their ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Shapes (Unicode Block)
Geometric Shapes is a Unicode block of 96 symbols at code point range U+25A0–25FF. Font coverage Font sets like Code2000 and the DejaVu fonts, DejaVu family include coverage for each of the glyphs in the Geometric Shapes range. GNU Unifont, Unifont also contains all the glyphs. Among the fonts in widespread use, full implementation is provided by Segoe UI Symbol and significant partial implementation of this range is provided by Arial Unicode MS and Lucida Sans Unicode, which include coverage for 83% (80 out of 96) and 82% (79 out of 96) of the symbols, respectively. Block Emoji The Geometric Shapes block contains eight emoji: U+25AA–U+25AB, U+25B6, U+25C0 and U+25FB–U+25FE. The block has sixteen Variant form (Unicode), standardized variants defined to specify emoji-style (U+FE0F VS16) or text presentation (U+FE0E VS15) for the eight emoji. History The following Unicode-related documents record the purpose and process of defining specific characters in the Geometri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Shape
A shape is a graphical representation of an object's form or its external boundary, outline, or external surface. It is distinct from other object properties, such as color, texture, or material type. In geometry, ''shape'' excludes information about the object's position, size, orientation and chirality. A ''figure'' is a representation including both shape and size (as in, e.g., figure of the Earth). A plane shape or plane figure is constrained to lie on a '' plane'', in contrast to ''solid'' 3D shapes. A two-dimensional shape or two-dimensional figure (also: 2D shape or 2D figure) may lie on a more general curved '' surface'' (a two-dimensional space). Classification of simple shapes Some simple shapes can be put into broad categories. For instance, polygons are classified according to their number of edges as triangles, quadrilaterals, pentagons, etc. Each of these is divided into smaller categories; triangles can be equilateral, isosceles, obtuse, acute, scal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cuisenaire Rods
Cuisenaire rods are mathematics learning aids for pupils that provide an interactive, hands-on way to explore mathematics and learn mathematical concepts, such as the four basic arithmetical operations, working with fractions and finding divisors. In the early 1950s, Caleb Gattegno popularised this set of coloured number rods created by Georges Cuisenaire (1891–1975), a Belgian primary school teacher, who called the rods ''réglettes''. According to Gattegno, "Georges Cuisenaire showed in the early 1950s that pupils who had been taught traditionally, and were rated 'weak', took huge strides when they shifted to using the material. They became 'very good' at traditional arithmetic when they were allowed to manipulate the rods." History The educationalists Maria Montessori and Friedrich Fröbel had used rods to represent numbers, but it was Georges Cuisenaire who introduced the rods that were to be used across the world from the 1950s onwards. In 1952, he published ''Les nomb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Box-drawing Character
Box-drawing characters, also known as line-drawing characters, are a form of semigraphics widely used in text user interfaces to draw various geometric frames and boxes. These characters are characterized by being designed to be connected horizontally and/or vertically with adjacent characters, which requires proper alignment. Box-drawing characters therefore typically only work well with monospaced fonts. In graphical user interfaces, these characters are much less useful as it is simpler to draw lines and rectangles directly with graphical APIs. However, they are still useful for command-line interfaces and plaintext Comment (computer programming), comments within source code. Some recent embedded systems also use proprietary character sets, usually extensions to ISO 8859 character sets, which include box-drawing characters or other special symbols. Other types of box-drawing characters are block elements, shade characters, and terminal graphic characters; these can be used ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Solid Geometry
Solid geometry or stereometry is the geometry of Three-dimensional space, three-dimensional Euclidean space (3D space). A solid figure is the region (mathematics), region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball (mathematics), ball consists of a sphere and its Interior (topology), interior. Solid geometry deals with the measurements of volumes of various solids, including Pyramid (geometry), pyramids, Prism (geometry), prisms (and other polyhedrons), cubes, Cylinder (geometry), cylinders, cone (geometry), cones (and Frustum, truncated cones). History The Pythagoreanism, Pythagoreans dealt with the regular solids, but the pyramid, prism, cone and cylinder were not studied until the Platonism, Platonists. Eudoxus of Cnidus, Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a prism and cylinder on the same base and of the same height. He was probably also the discoverer of a proof that t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Polygons, Polyhedra And Polytopes
A polytope is a geometric object with flat sides, which exists in any general number of dimensions. The following list of polygons, polyhedra and polytopes gives the names of various classes of polytopes and lists some specific examples. Polytope elements Polygon (2-polytope) * Vertex the ''ridge'' or ''(n−2)-face'' of the polygon * Edge the ''facet'' or ''(n−1)-face'' of the polygon Polyhedron (3-polytope) * Vertex the ''peak'' or ''(n−3)-face'' of the polyhedron * Edge the ''ridge'' or ''(n−2)-face'' of the polyhedron *Face the ''facet'' or ''(n−1)-face'' of the polyhedron Polychoron (4-polytope) * Vertex the ''(n−4)-face'' of the polychoron * Edge the ''peak'' or ''(n−3)-face'' of the polychoron *Face the ''ridge'' or ''(n−2)-face'' of the polychoron * Cell the ''facet'' or ''(n−1)-face'' of the polychoron 5-polytope * Vertex the ''(n−5)-face'' of the 5-polytope * Edge the ''(n−4)-face'' of the 5-polytope *Face the ''peak'' or ''(n−3)-face'' of the 5-po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Surfaces
This is a list of surface (mathematics), surfaces in mathematics. They are divided into minimal surfaces, ruled surfaces, non-orientable surfaces, quadrics, pseudospherical surfaces, algebraic surfaces, and other types of surfaces. Minimal surfaces * Catalan's minimal surface * Costa's minimal surface * Catenoid * Enneper surface * Gyroid * Helicoid * Lidinoid * Riemann's minimal surface * Saddle tower * Scherk surface * Schwarz minimal surface * Triply periodic minimal surface Ruled surfaces * Catalan surface * Right conoid * Conical surface * Helicoid * Developable rollers (sphericon, oloid) * Hyperboloid of one sheet (doubly ruled) * Hyperbolic paraboloid (doubly ruled) * Rational normal scroll * Regulus (geometry), Regulus Non-orientable surfaces *Klein bottle *Real projective plane **Cross-cap **Roman surface **Boy's surface Quadrics *Sphere *Spheroid **Oblate spheroid **Prolate spheroid *Ellipsoid *Cone (geometry) *Hyperboloid of one sheet *Hyperboloid of two sheets *H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
