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Geometric Figures
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) * Glossary of shapes with metaphorical names * List of symbols * Pattern Blocks Pattern Blocks are a set of mathematical manipulatives developed in the 1960s. The six shapes are both a play resource and a tool for learning in mathematics, which serve to develop spatial reasoning skills that are fundamental to the learning of m ... (learning aid) {{DEFAU ... [...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, 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 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 great stellated dodecahedron. He also stellated the regular octahedron to o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Regular Polytopes And Compounds
This article lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces. The Schläfli symbol describes every regular tessellation of an ''n''-sphere, Euclidean and hyperbolic spaces. A Schläfli symbol describing an ''n''-polytope equivalently describes a tessellation of an (''n'' − 1)-sphere. In addition, the symmetry of a regular polytope or tessellation is expressed as a Coxeter group, which Coxeter expressed identically to the Schläfli symbol, except delimiting by square brackets, a notation that is called Coxeter notation. Another related symbol is the Coxeter-Dynkin diagram which represents a symmetry group with no rings, and the represents regular polytope or tessellation with a ring on the first node. For example, the cube has Schläfli symbol , and with its octahedral symmetry, ,3or , it is represented by Coxeter diagram . The regular polytopes are grouped by dimension and subgrouped by convex, nonconvex an ... [...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 * :Typographical symbols The remainder of this list focuses on graphemes not part of spoken language-encoding systems. Basic communication * — No symbol * Arrow (symbol) * Character * Emoji ** ☺ — Smiley * ✓ — checkmark (UK: tick) * Harvey balls * ☆ — Star (polygon) 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 physical constants (typically letters and compound symbols) * List of common physics ... [...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 b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Shapes
Geometric Shapes is a Unicode block of 96 symbols at code point range U+25A0–25FF. U+25A0–U+25CF The BLACK CIRCLE is displayed when typing in a password field, in order to hide characters from a screen recorder or shoulder surfing. U+25D0–U+25FF The CIRCLE WITH LEFT HALF BLACK is used to represent the contrast ratio of a screen. Font coverage Font sets like Code2000 and the DejaVu family include coverage for each of the glyphs in the Geometric Shapes range. 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 standardized variants defined to specify ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Shape
A shape or figure is a graphical representation of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material type. 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 non-Euclidean 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, scalene, etc. while quadrilaterals can be rectangles, rhombi, trapezoids, squares, etc. Other common shapes are points, lines, planes, and conic sections such as ellipses, circles, and parabolas. Among the mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cuisenaire Rods
Cuisenaire rods are mathematics learning aids for students 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 Belgan primary school teacher, who called the rods ''réglettes''. According to Gattegno, "Georges Cuisenaire showed in the early 1950s that students 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 nombres ... [...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. Box-drawing characters typically only work well with monospaced fonts. In graphical user interfaces, these characters are much less useful as it is more simple and appropriate to draw lines and rectangles directly with graphical APIs. However, they are still useful for command-line interfaces and plaintext comments within source code. Used along with box-drawing characters are block elements, shade characters, and terminal graphic characters, these can be used for filling regions of the screen and portraying drop shadows. Encodings Unicode Box Drawing Unicode includes 128 such characters in the Box Drawing block. In many Unicode fonts only the subset that is also available in the IBM PC character set (see below) will exist, due to it being defined as part of the WGL4 character set. The image below is provi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Solid Geometry
In mathematics, solid geometry or stereometry is the traditional name for the geometry of Three-dimensional space, three-dimensional, Euclidean spaces (i.e., 3D geometry). Stereometry deals with the measurements of volumes of various solid figures (or 3D figures), including Pyramid (geometry), pyramids, Prism (geometry), prisms and other polyhedrons; Cylinder (geometry), cylinders; cone (geometry), cones; Frustum, truncated cones; and ball (mathematics), balls bounded by spheres. 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 the volume enclosed by a sphere is proportional to the cube of its radius.Paraphrased and taken in part from ... [...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 *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 4-polytope *Vertex *Edge the ''peak'' or ''(n−3)-face'' of the 4-polytope *Face the ''ridge'' or ''(n−2)-face'' of the 4-polytope *Cell the ''facet'' or ''(n−1)-face'' of the 4-polytope 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-polytope *Cell the ''ridge'' or ''(n−2)-face'' of the 5-polytope * Hypercell or Teron the ''facet'' or ''(n− ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Surfaces
This is a list of surfaces, by Wikipedia page. ''See also List of algebraic surfaces, List of curves, Riemann surface.'' 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 Non-orientable surfaces *Klein bottle *Real projective plane ** Cross-cap **Roman surface ** Boy's surface Quadrics *Sphere *Spheroid **Oblate spheroid *Cone (geometry) *Ellipsoid *Hyperboloid of one sheet *Hyperboloid of two sheets *Hyperbolic paraboloid (a ruled surface) *Paraboloid Pseudospherical surfaces * Dini's surface *Pseudosphere Algebraic surfaces ''See the list of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
