Infobox Polyhedron with net Image File parabiaugmented hexagonal prism.png Polyhedron Type Johnson solid Johnson br augmented hexagonalprism J sub 54 sub J sub 55 sub metabiaugmented hexagonalprism J sub 56 sub Face List 2x4 triangle s br 4 square geometry square s br 2 hexagon s Edge Count 26 Vertex Count 14 Symmetry Group D sub 2h sub Vertex List 4 4 sup 2 sup .6 br 2 3 sup 4 sup br 8 3 sup 2 sup .4.6 Dual Property List convex set convex Net Image File Johnson solid 55 net.png In geometry , the parabiaugmented hexagonalprism is one of the Johnson solid s J sub 55 sub . The 92 Johnson solids were named and described by Norman Johnson mathematician Norman Johnson in 1966. External links MathWorld urlname JohnsonSolid title Johnson Solid MathWorld urlname ParabiaugmentedHexagonalPrism title Parabiaugmented hexagonalprism Polyhedron stub Category Johnson solids es Prisma hexagonal parabiaumentado eo Tra du dupligrandigita seslatera prismo fr Prisme hexagonal parabiaugment nl Paradubbelverhoogd zeshoekig prisma ja th ... more details
Infobox Polyhedron with net Image File triaugmented hexagonal prism.png Polyhedron Type Johnson solid Johnson br Metabiaugmented hexagonalprism J sub 56 sub J sub 57 sub Augmented dodecahedron J sub 58 sub Face List 12 triangle s br 3 square geometry square s br 2 hexagon s Edge Count 30 Vertex Count 15 Symmetry Group D sub 3h sub Vertex List 3 3 sup 4 sup br 12 3 sup 2 sup .4.6 Dual Property List convex set convex Net Image File Johnson solid 57 net.png In geometry , the triaugmented hexagonalprism is one of the Johnson solid s J sub 57 sub . The 92 Johnson solids were named and described by Norman Johnson mathematician Norman Johnson in 1966. See also hexagonalprism External links MathWorld urlname JohnsonSolid title Johnson Solid MathWorld urlname TriaugmentedHexagonalPrism title Triaugmented hexagonalprism Polyhedron stub Category Johnson solids es Prisma hexagonal triaumentado eo Tripligrandigita seslatera prismo fr Prisme hexagonal triaugment nl Drievoudig verhoogd zeshoekig prisma ja th ... more details
Infobox Polyhedron with net Image File augmented hexagonal prism.png Polyhedron Type Johnson solid Johnson br biaugmented pentagonal prism J sub 53 sub J sub 54 sub parabiaugmented hexagonalprism J sub 55 sub Face List 2x2 triangle s br 1 2x2 square geometry square s br 2 hexagon s Edge Count 22 Vertex Count 13 Symmetry Group C sub 2v sub Vertex List 2x4 4 sup 2 sup .6 br 1 3 sup 4 sup br 4 3 sup 2 sup .4.6 Dual Property List Convex set convex Net Image File Johnson solid 54 net.png In geometry , the augmented hexagonalprism is one of the Johnson solid s J sub 54 sub . As the name suggests, it can be constructed by augmenting a hexagonalprism geometry prism by attaching a square pyramid J sub 1 sub to one of its equatorial faces. The 92 Johnson solids were named and described by Norman Johnson mathematician Norman Johnson in 1966. External links MathWorld urlname JohnsonSolid title Johnson Solid MathWorld urlname AugmentedHexagonalPrism title Augmented hexagonalprism Category Johnson solids Polyhedron stub es Prisma hexagonal aumentado eo Pligrandigita seslatera prismo fr Prisme hexagonal augment nl Verhoogd zeshoekig prisma ja th ... more details
Infobox Polyhedron with net Image File metabiaugmented hexagonal prism.png Polyhedron Type Johnson solid Johnson br parabiaugmented hexagonalprism J sub 55 sub J sub 56 sub triaugmented hexagonalprism J sub 57 sub Face List 2x2 4 triangle s br 2 2 square geometry square s br 2 hexagon s Edge Count 26 Vertex Count 14 Symmetry Group C sub 2v sub Vertex List 4 4 sup 2 sup .6 br 2 3 sup 4 sup br 2x4 3 sup 2 sup .4.6 Dual Property List convex set convex Net Image File Johnson solid 56 net.png In geometry , the metabiaugmented hexagonalprism is one of the Johnson solid s J sub 56 sub . The 92 Johnson solids were named and described by Norman Johnson mathematician Norman Johnson in 1966. See also hexagonalprism External links MathWorld urlname JohnsonSolid title Johnson Solid MathWorld urlname MetabiaugmentedHexagonalPrism title Metabiaugmented hexagonalprism Polyhedron stub Category Johnson solids es Prisma hexagonal metabiaumentado eo Tra unu dupligrandigita seslatera prismo fr Prisme hexagonal m tabiaugment nl Metadubbelverhoogd zeshoekig prisma ja th ... more details
wiktionarypar prism NOTOC Prism may refer to Science and mathematics Prism optics , a transparent object which refracts light Dispersive prism , the most familiar type of optical prismPrism geometry , a kind of polyhedron Prism geology , a type of sedimentary deposit Media and entertainment Books, comics and magazines Prism comics , a Marvel Comics character Prism magazine New Zealand , a Christian periodical PRISM international , a Canadian literary magazine ASEE Prism , the flagship publication of the American Society for Engineering Education A magazine called Prism, an Anglican theological ... of Christopher Martin and Nicholas Mosley. Music Prism band , a Canadian rock band PrismPrism album PrismPrism album , the debut album of the Canadian band Prism Japanese band , a jazz fusion band Prism Jeff Scott Soto album Prism Jeff Scott Soto album Prism Yoshida Brothers album Prism Yoshida Brothers album Prism Records , a record label Prism, a marimba piece by Keiko Abe Multi Channel Publishing PRISM Publishing Requirements for Industry Standard Metadata XML metadata vocabularies for syndicating, aggregating, post processing and multi purposing content. Other PRISM TV channel , a defunct cable television channel in Philadelphia Prism street artist , a street artist from Melbourne , Australia Computing and software PRISM chipset , a wireless networking chipset Apollo PRISM , a microprocessor made by Apollo Computer DEC PRISM , a microprocessor made by Digital Equipment Corporation Delphi Prism , a software development environment for .NET and Mono Mozilla Prism , a software product for desktop integration of web applications SGI Prism , a computer IBM s PR SM , a mainframe hypervisor PRISM model checker , a probabilistic model checker GraphPad Prism , software for scientific ... Education PRISM Portal Resources for Indiana Science and Mathematics , a website for teachers Other meanings Nokia Prism , a fashion mobile phone collection Oregon Performance Reporting Information System ... more details
Image GE Hitachi Prism Reactor.jpg left thumb 250px Drawing of the PRISM Reactor S PRISM, also called PRISM Power Reactor Innovative Small Module , is the name of a nuclear power plant design by GE Hitachi Nuclear Energy GEH based on a sodium cooled fast breeder reactor ref http www.genewscenter.com Press Releases GE Hitachi Nuclear Energy Encourages Congress to Support Development of Recycling Technology to Turn Used Nuclear Fuel into an Asset 1b9f.aspx GE Energy press release ref . The design utilizes reactor modules, each having a power output of 311 MWe, to enable factory fabrication at low cost. The design is based on the Integral Fast Reactor . The Integral Fast Reactor was developed at the West Campus of the Argonne National Laboratory in Idaho Falls, Idaho and was the intended successor to the Experimental Breeder Reactor II . The Integral Fast Reactor project was shut down by the United States Congress U.S. Congress in 1994. The S PRISM represents GEH s Generation IV reactor solution to closing the nuclear fuel cycle and is also part of its Advanced Recycling Center proposition ref http gop.science.house.gov Media hearings full09 june17 price.pdf Testimony to U.S. Congress ref to U.S. Congress to deal with nuclear waste . In October 2010, GEH signed a memorandum of understanding with the operators of the United States Department of Energy Department of Energy s Savannah River Site Savannah River site , which should allow the construction of a demonstration reactor prior ... cite news url http www.world nuclear news.org NN Prototype Prism proposed for Savannah River 2810104.html title Prototype Prism proposed for Savannah River date 2010 10 28 work World Nuclear News ... asked for technical and financial details of the PRISM, partly as a means of reducing the country s plutonium ... products and services products nuclear energy prism sodium cooled reactor.jsp GE Energy PRISM ...?CISOROOT nuceng&CISOPTR 104&filename 99.pdf PRISM IFR drawing Category Uncompleted nuclear reactors ... more details
cleanup linkrot date August 2011 Infobox album See Wikipedia WikiProject Albums Name In Prism Type Album Artist Polvo Cover PolvoInPrism.jpg Released September 8, 2009 Recorded Genre Indie rock Length 49 22 Label Merge Records Producer Brian Paulson Last album Shapes album Shapes br 1997 This album In Prism br 2009 Next album Album ratings rev1 Allmusic rev1score rating 3.5 5 ref Allmusic class album id r1626266 pure url yes Allmusic review ref rev2 The Boston Globe rev2score Favorable ref http www.boston.com ae music cd reviews articles 2009 10 05 polvo in prism The Boston Globe review ref rev3 Glorious Noise rev3score Favorable ref http www.gloriousnoise.com reviews 2009 polvo in prism.php Glorious Noise review ref rev4 Pitchfork Media rev4score 8.1 10 ref http pitchfork.com reviews albums 13398 in prism Pitchfork Media review ref rev5 PopMatters rev5score rating 8 10 ref http www.popmatters.com pm review 110421 polvo in prism PopMatters review ref rev6 Sputnik Music rev6score rating 3.5 5 ref http sputnikmusic.com album.php?albumid 40462 Sputnik Music review ref Automatically generated by DASHBot In Prism is Polvo Polvo s fifth full length studio album , and their first since 1997 s Shapes album Shapes . It was recorded by Brian Paulson and was released on Merge Records on September 8, 2009. ref http pitchfork.com news 35508 polvo sign to merge ready reunion album ref The track Beggar s Bowl is now streaming online. ref http pitchfork.com news 35665 premiere polvo beggars bowl ref For a limited time, the entire album can be streamed on the Merge Records Store website. ref http www.mergerecords.com store store detail.php?catalog id 626 ref Track listing Right the Relation 5 36 D.C. Trails 6 57 Beggar s Bowl 5 01 City Birds 5 21 Lucia 8 15 Dream Residue Work 5 48 The Pedlar 3 37 A Link in the Chain 8 47 References references Polvo Category Polvo albums Category 2009 albums ... more details
Prism polyhedra db Prism polyhedron stat table AP6 In geometry , the hexagonal antiprism is the 4th in an infinite set of antiprisms formed by an even numbered sequence of triangle sides closed by two polygon caps. If faces are all regular, it is a semiregular polyhedron . See also antiprism Set of antiprisms Octahedron , a triangle capped antiprism Square antiprism Pentagonal antiprism Octagonal antiprism External links mathworld urlname Antiprism title Antiprism http polyhedra.org poly show 29 hexagonal antiprism Hexagonal Antiprism Interactive Polyhedron model http www.georgehart.com virtual polyhedra vp.html Virtual Reality Polyhedra www.georgehart.com The Encyclopedia of Polyhedra VRML http www.georgehart.com virtual polyhedra vrml hexagonal antiprism.wrl model http www.georgehart.com virtual polyhedra conway notation.html Conway Notation for Polyhedra Try A6 Category Prismatoid polyhedra Polyhedron navigator Polyhedron stub eo Seslatera kontra prismo es Antiprisma hexagonal fr Antiprisme hexagonal zh ... more details
Infobox face uniform polyhedron Image File Hexagonale bipiramide.png Polyhedron Type bipyramid Face List 12 triangle s Edge Count 18 Vertex Count 8 Symmetry Group D sub 6h sub , 6,2 , 226 Face Type V4.4.6 Dual hexagonal prism Property List convex set convex , face transitive A hexagonal bipyramid is a polyhedron formed from two hexagonal pyramid geometry pyramids joined at their bases. The resulting solid has 12 triangular face geometry faces , 8 vertex geometry vertices and 18 edges. The 12 faces are identical isosceles triangle s. It is one of an infinite set of bipyramid s. Having twelve faces, it is a type of dodecahedron , although that name is usually associated with the regular polyhedron regular polyhedral form with pentagonal faces. The term dodecadeltahedron is sometimes used to distinguish the bipyramid from the Platonic solid . The hexagonal bipyramid has a plane of symmetry which is Horizontal plane horizontal in the figure to the right where the bases of the two pyramids are joined. This plane is a regular hexagon . There are also six planes of symmetry crossing through the two apex geometry apices . These planes are rhombus rhombic and lie at 30 angle s to each other, perpendicular to the horizontal plane. See also hexagonal trapezohedron A similar 12 sided polyhedron with a twist and Kite geometry kite faces. Snub disphenoid Another 12 sided polyhedron with 2 fold symmetry and only triangular faces. External links mathworld urlname Dipyramid title Dipyramid GlossaryForHyperspace anchor Bipyramid title Bipyramid http www.georgehart.com virtual polyhedra vp.html Virtual Reality Polyhedra The Encyclopedia of Polyhedra VRML model http www.georgehart.com virtual polyhedra vrml hexagonal dipyramid.wrl hexagonal dipyramid Polyhedron stub Category Polyhedra Category Pyramids and bipyramids eo Seslatera dupiramido nl Hexagonale bipiramide ... more details
A hexagonal number is a figurate number . The n th hexagonal number will be the number of points in a hexagon with n regularly spaced points on a side. Image Hexagonal numbers.svg none The first four hexagonal numbers. The formula for the n th hexagonal number math h n 2n 2 n n 2n 1 2n times 2n 1 over 2 . , math The first few hexagonal numbers OEIS id A000384 are 1 number 1 , 6 number 6 , 15 number .... Every hexagonal number is a triangular number , but only every other triangular number the 1st, 3rd, 5th, 7th, etc. is a hexagonal number. Like a triangular number, the digital root in base 10 of a hexagonal ... 6 6 1 9 3 1 3 9 . Every even perfect number is hexagonal, given by the formula math M p 2 p 1 M p ..., hence all known perfect numbers are hexagonal. For example, the 2nd hexagonal number is 2x3 6 the 4th ... as a sum of at most four hexagonal numbers is 130 number 130 . Adrien Marie Legendre proved in 1830 that any integer greater than 1791 can be expressed in this way. Hexagonal numbers can be rearranged into rectangular numbers of size n by 2 n &minus 1 . Hexagonal numbers should not be confused with centered hexagonal number s, which model the standard packaging of Wiener sausage s. To avoid ambiguity, hexagonal numbers are sometimes called cornered hexagonal numbers . Test for hexagonal numbers One can efficiently test whether a positive integer x is an hexagonal number by computing math n frac sqrt 8x 1 1 4 . math If n is an integer, then x is the n th hexagonal number. If n is not an integer, then x is not hexagonal. Other properties The italic n th number of the hexagonal sequence ... sum is taken to be 0. See also Centered hexagonal number External links Mathworld entry on http mathworld.wolfram.com HexagonalNumber.html Hexagonal Number Category Figurate numbers ar de Sechseckszahl es N mero hexagonal fr Nombre hexagonal it Numero esagonale nl Zeshoeksgetal ja pt N mero hexagonal ru sl estkotni ko tevilo fi Kuusikulmioluku sv Hexagonala tal ... more details
Unreferenced date October 2007 Image HEXAGONALPHASE1.JPG thumb right Schematic of the molecular organisation in a type I hexagonal lyotropic liquid crystalline phase. A hexagonal phase of lyotropic liquid crystal is formed by some amphiphilic molecules when they are mixed with water or another polar solvent. In this phase the amphiphile molecules are aggregated into cylindrical structures of indefinite length and these cylindrical aggregates are disposed on a hexagonal lattice, giving the phase long range orientational order. In normal topology hexagonal phases, which are formed by type I amphiphiles , the hydrocarbon chains are contained within the cylindrical aggregates such that the polar apolar interface has a positive mean curvature . Inverse topology hexagonal phases have water within the cylindrical aggregates and the hydrocarbon chains fill the voids between the hexagonally packed cylinders. Normal topology hexagonal phases are denoted by H sub I sub while inverse topology hexagonal phases are deonted by H sub II sub . When viewed under a polarising microscope thin films of both normal and inverse topology hexagonal phases exhibit birefringence , giving rise to characteristic optical textures. Typically these textures are smoke like, fan like or mosaic in appearance. The phases are highly viscous and small air bubbles trapped within the preparation have highly distored shapes. gallery Image Hexagonal1a.jpg smokey optical texture of type I hexagonal phase Image Hexagonal2a.jpg mosaic optical texture of type I hexagonal phase Image Hexagonal3a.jpg mosaic focal conic optical texture of type I hexagonal phase gallery Category Liquid crystals ... more details
border 1 bgcolor ffffff cellpadding 5 align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Hexagonal trapezohedron align center colspan 2 Image Hexagonal trapezohedron.png 180px Hexagonal trapezohedron br Click on picture for large version. bgcolor e7dcc3 Type Trapezohedron trapezohedra bgcolor e7dcc3 Faces 12 kite geometry kites bgcolor e7dcc3 Edges 24 bgcolor e7dcc3 Vertices 14 bgcolor e7dcc3 Face configuration 6,3,3,3 bgcolor e7dcc3 List of spherical symmetry groups Symmetry group D sub 6d sub , 2 ,12 , 2 6 bgcolor e7dcc3 Dual polyhedron hexagonal antiprism bgcolor e7dcc3 Properties convex, face transitive The hexagonal trapezohedron or deltohedron is the fourth in an infinite series of face uniform polyhedra which are dual polyhedron to the antiprism s. It has twelve faces which are congruence geometry congruent kite geometry kites . See also hexagonal bipyramid A similar 12 sided polyhedron with triangular faces. External links mathworld urlname Trapezohedron title Trapezohedron http www.georgehart.com virtual polyhedra vp.html Virtual Reality Polyhedra The Encyclopedia of Polyhedra VRML model http www.georgehart.com virtual polyhedra vrml hexagonal trapezohedron.wrl 6 Polyhedron stub Polyhedron navigator Category Polyhedra eo Seslatera kajtopluredro ... more details
unreferenced date June 2011 border 1 bgcolor ffffff cellpadding 5 align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Hexagonal Bifrustum align center colspan 2 Image Hexagonal bifrustum.png 180px Hexagonal bifrustum bgcolor e7dcc3 Type Bifrustum bgcolor e7dcc3 Faces 12 trapezoid s, 2 hexagon s bgcolor e7dcc3 Edges 24 bgcolor e7dcc3 Vertices 18 bgcolor e7dcc3 Symmetry group Symmetry group Three dimensions D sub 6h sub bgcolor e7dcc3 Dual polyhedron elongated hexagonal dipyramid bgcolor e7dcc3 Properties convex The hexagonal bifrustum or truncated bipyramid is the fourth in an infinite series of bifrustum polyhedra. It has 12 trapezoid and 2 hexagon al faces. This polyhedron can be constructed by taking a hexagonal dipyramid and truncating the polar axis vertices, making it into two end to end frustum s. A sapphire or ruby crystal is an example of a hexagonal bifrustum. It has been used for a decorative polyhedral monthly calendar , with one month on each trapezoid face. dodecahedron regular and rhombic dodecahedron rhombic dodecahedra have also been used for calendar months. Category Polyhedra Polyhedron stub eo Seslatera dutrunko ... more details
No footnotes date March 2011 Uniform tiles db Reg tiling stat table Uh In geometry , the hexagonal tiling ... of the plane . The other two are the triangular tiling and the square tiling . Applications The hexagonal ... states that the hexagonal tiling is the best way to divide a surface into regions of equal ... better. Chicken wire consists of a hexagonal lattice of wires. This structure exists naturally in the form ... cylindrical surface gallery The hexagonal tiling appears in many crystals. In three dimensions, the face centered cubic and hexagonal close packing are common crystal structures. They are the densest ... parallel layers of hexagonal tilings, similar to the structure of graphite. They differ in the way ... There are 3 distinct uniform coloring s of a hexagonal tiling, all generated from reflective ... tiling 333 t012.png 100px File Truncated rhombille tiling.png 100px File Hexagonal tiling 4 colors.png ... s. Topologically identical tilings Image Wallpaper group cmm 1.jpg thumb Bricks as nonregular hexagonal tiling The hexagonal tiling can be stretched and adjusted to other geometric proportions and different symmetries. The standard brick pattern can be considered a nonregular hexagonal tiling. Each ... pattern is also a distorted hexagonal tiling. class wikitable 4 color hexagonal tilings Regular hexagons Hexagonal weave p6m 632 p6 632 File Hexagonal tiling 4 colors.png 240px File Weaved hexagonal tiling.png 240px colspan 2 Brick pattern Herringbone colspan 2 p4g 4 2 File Bond brick hexagonal tiling.png 240px File Herringbone pattern as hexagonal tiling.png 240px Related polyhedra and tilings ... hexagonal faces. The sequence has two vertex figures n.6.6 and 6,6,6 . class wikitable width 500 ... 100px BR Hexagonal tiling The hexagonal tiling can be considered an elongated rhombic tiling ... of the Rhombic dodecahedron Honeycomb rhombic dodecahedron and the rhombo hexagonal dodecahedron ... tiling File Uniform tiling 63 t0.png 160px BR Hexagonal tiling File Chicken Wire close up.jpg 160px ... more details
Hexagonal water is a term used in a fraud marketing scam ref name wired cite web publisher Wired Science last Rowe first Aaron title Video Hexagonal Water is an Appalling Scam date 2008 03 17 accessdate 2011 10 18 url http www.wired.com wiredscience 2008 03 chem lab hexago ref ref name alabama cite web title Drinking Water and Water Treatment Scams publisher Alabama Cooperative Extension System date 2003 10 22 accessdate 2011 10 18 url http docs.google.com viewer?a v&q cache QAUI82HS Q4J www.aces.edu waterquality articles new WATER SCAMS3 HD.pdf hexagonal water scam&hl en&gl us&pid bl&srcid ADGEESjQa9CicZi5TfufUfNj0XOu2L1VnS9zhGpMJxHkzwnMDW3NUv3KFVQ9PgAqGO9eJq wr3VyFTayWhqYLW xnU91J75ZbJ7tDLcSLK8kyOI2cYFsZg8bLuRKbPDOuOXfo7F9NRDL ... cite web publisher Aqua Technology title Understanding Hexagonal Water accessdate 2011 10 18 url http www.aquatechnology.net hexagonalwater.html ref The term hexagonal water refers to a water cluster cluster of water forming a hexagonal shape that supposedly enhances nutrient absorption, removes metabolic ... cite web publisher Frequency Rising title Hexagonal Water accessdate 2011 10 18 url http www.frequencyrising.com ... claims central to hexagonal water include the following Hexagonal Water is composed of six individual ... organisms prefer the six sided hexagonal ring structure, found naturally in snow water ref name aquatechnology The percentage of hexagonal units appears to depend on a number of factors, including ... to create an oxygen rich, alkaline, energized and uniquely structured Hexagonal Water. ref name aquatechnology Hexagonal water is associated with aging. ref name aquatechnology ref name frequency this kind ... with science The concept of hexagonal water clashes with several established scientific ... the hexagonal water model s claim that the particular structure of water consumed is the same structure used by the body. Similarly, the hexagonal water model claims that this particular structure ... be created through bombardment of energy of these frequencies. ref name alabama In addition, the hexagonal ... more details
Infobox Polyhedron Image File Hexagonal pyramid.png Polyhedron Type Pyramid geometry Pyramid Face List 6 triangle s br 1 hexagon Edge Count 12 Vertex Count 7 Symmetry Group C sub 6v sub , 6 , 66 Vertex List 6 3 sup 2 sup .6 br 3 sup 6 sup Dual Self dual polyhedron self dual Property List convex set convex In geometry , a hexagonal pyramid is a Pyramid geometry pyramid with a hexagon al base upon which are erected six triangle triangular faces that meet at a point the vertex . Like any pyramid , it is self dual polyhedron dual . A right hexagonal pyramid with a regular hexagon base has List of spherical symmetry groups Other C sub 6v sub symmetry . See also Hexagonal bipyramid A right regular pyramid is the one which has a regular hexagon at the base, it is called as a right regular pyramid because the line joining the centre of the base to the apex of the pyramid, the line joining the centre of the hexagon base and any of the corners of the hexagon and the line joining that corner of the hexagon and the apex form a right angled triangle. External links Mathworld urlname Hexagonal Pyramid title Hexagonal pyramid http www.georgehart.com virtual polyhedra vp.html Virtual Reality Polyhedra www.georgehart.com The Encyclopedia of Polyhedra http www.georgehart.com virtual polyhedra conway notation.html Conway Notation for Polyhedra Try Y6 Category Pyramids and bipyramids Category Self dual polyhedra Category Prismatoid polyhedra Polyhedron stub ... more details
The term hexagonal chess designates a group of chess variant s played on hexagonal boards. The most popular one is Gli ski s hexagonal chess which was invented in 1936 by W adys aw Gli ski of Poland . Gli ski s hexagonal chess Image Glinski Chess Setup.png right thumb 300px Starting position for W adys aw Gli ski Gli ski s hexagonal chess Gli ski s hexagonal chess is the most popular hexagonal chess .... The game is played on a hexagonal board having three colors light, dark, and medium , with the middle cell or hex usually medium. ref cite book author Wladyslow Gli ski title Rules of Hexagonal Chess ... chess rook plus bishop. There is no castling in Gli ski s hexagonal chess. Image Glinski chess ... s hexagonal chess 1976 br June First Hexagonal Chess Congress at Bloomsbury Centre Hotel, London, which included the inauguration of the British Hexagonal Chess Federation and the first British Hexagonal Chess Championship. David Springgay took the title. December First issue of Hex Press Hexagonal Chess News published. 1977 br Hexagonal Chess was topic for many newspapers and magazines in Poland ... Hotel, London. Brian Rippon took the title. 1978 br January Inventor visited Poland. Successful Hexagonal ... on Hexagonal Chess . Whilst in Poland, Simon Triggs played the first mixed 6 square and 6 hexagonal boards simultaneous display. Hexagonal Chess clubs formed in Poland, Czechoslovakia and USSR. 1980 ... of Internatienal Hexagonal Chess Federation First European Championship Team Match Poland v G.B. ... Borawski Poland , 4 Piers Shepperson G.B. . 1981 br September First Hungarian Hexagonal Chess Championship ... Hexagonal Chess boxed game with roll up double sided board hexagonal square and wooden pieces to be distributed in the West European market. July An open Hexagonal Chess Tournament was held on 10th ... of the Hungarian Hexagonal Chess Association, Mihaly Gelencser, and sponsored by the Zsolnay .... LBC Radio and BBC Radio London broadcast interviews. McCooey s hexagonal chess Image McCooey Chess ... more details
Image Tile 3,6.svg thumb Triangular tiling . The vertices form a hexagonal lattice with horizontal rows ... 6 by 6 to form a hexagonal tiling . In each case the hexagons are oriented with two horizontal sides, and arranged in vertical rows, and in each case they have a dark triangle at the upper left. The hexagonal ... common. They can conveniently be referred to as hexagonal lattice with horizontal rows like in the figure below , with triangles pointing up and down, and hexagonal lattice with vertical rows , with triangles pointing left and right. They differ by an angle of 30 . The hexagonal lattice with horizontal ... thumb Hexagonal tiling , Honeycomb geometry honeycomb structure. The centers of the hexagons form a hexagonal lattice with vertical rows for each color the centers of the hexagons of that color form a hexagonal ... hexagons together with their centers form a hexagonal lattice with horizontal rows which is in linear ... of 90 , or equivalently 30 . A honeycomb structure is in two ways related to a hexagonal lattice the centers of the hexagons of a honeycomb form a hexagonal lattice, with the rows oriented the same the vertices of a honeycomb, together with their centers, form a hexagonal lattice, rotated by 30 or equivalently ... a corresponding hexagonal lattice, or a structure which is not a lattice in the Group mathematics group ... bonds . With respect to a hexagonal lattice we can distinguish two sets or three directions the directions ... the directions differ by an angle of 60 , and between sets by angles of 30 and 90 . For a hexagonal lattice with horizontal rows one of the three directions is horizontal, and for a hexagonal lattice ... one set is special because of being 6 fold. Image Tile V46b.svg thumb Hexakis hexagonal tiling , an example ... line grids in three orientations can be distinguished. See also hexagonal tiling close packing symmetry combinations centered hexagonal number Eisenstein integer Voronoi diagram Loewner s torus inequality ... of lattice deformations and the stability of some hexagonal lattices . Proceedings of the Cambridge ... more details
Prism polyhedra db Prism even polyhedron stat table P12 In geometry , the dodecagonal prism is the tenth in an infinite set of Prism geometry prisms , formed by square sides and two regular dodecagon caps. If faces are all regular, it is a semiregular polyhedron . Use It is used in the construction of two prismatic uniform honeycomb s class wikitable width 300 File Omnitruncated triangular hexagonal prismatic honeycomb.png 150px BR Omnitruncated triangular hexagonal prismatic honeycomb BR CDD node 1 6 node 1 3 node 1 2 node 1 infin node File Truncated hexagonal prismatic honeycomb.png 150px BR Truncated hexagonal prismatic honeycomb BR CDD node 1 6 node 1 3 node 2 node 1 infin node See also Prism geometry Set of prisms External links mathworld urlname Prism title Prism Category Prismatoid polyhedra Category Zonohedra Polyhedron stub eo Dekdulatera prismo fr Prisme dod cagonal ... more details
Prism polyhedra db Prism even polyhedron stat table P8 In geometry , the octagonal prism is the sixth in an infinite set of Prism geometry prisms , formed by square sides and two regular octagon caps. If faces are all regular, it is a semiregular polyhedron . Use In optics , octagonal prisms are used to generate flicker free images in movie projector s. In uniform honeycombs and polychora It is an element of three uniform honeycomb s class wikitable width 480 align center Truncated square prismatic honeycomb BR CDD node 1 4 node 1 4 node 2 node 1 infin node Omnitruncated cubic honeycomb BR CDD node 1 4 node 1 3 node 1 4 node 1 Runcitruncated cubic honeycomb BR CDD node 1 4 node 1 3 node 4 node 1 align center File Truncated square prismatic honeycomb.png 160px File Omnitruncated cubic honeycomb.jpg 160px File Runcitruncated cubic honeycomb.jpg 160px It is also an element of two four dimensional uniform polychoron uniform polychora class wikitable align center Runcitruncated tesseract BR CDD node 1 4 node 1 3 node 3 node 1 Omnitruncated tesseract BR CDD node 1 4 node 1 3 node 1 3 node 1 align center File 4 cube t013.svg 160px File 4 cube t0123.svg 160px See also Prism geometry Set of prisms Triangular prism Cube square capped prism Pentagonal prismHexagonalprism External links mathworld urlname Prism title Prism Category Prismatoid polyhedra Category Zonohedra http polyhedra.org poly show 25 octagonal prism Interactive model of an Octagonal Prism Polyhedron stub eo Oklatera prismo fr Prisme octogonal ... more details
Prism polyhedra db Prism polyhedron stat table P5 In geometry , the pentagonal prism is a Prism geometry prism with a pentagon al base. It is a type of heptahedron with 7 Face geometry faces , 15 Edge geometry edges , and 10 vertex geometry vertices . As a semiregular or uniform polyhedron If faces are all regular, the pentagonal prism is a semiregular polyhedron , more generally, a uniform polyhedron , and the third in an infinite set of prisms formed by square sides and two regular polygon caps. It can be seen as a truncation geometry truncated hosohedron pentagonal hosohedron , represented by Schl fli symbol t 2,5 . Alternately it can be seen as the Cartesian product of a regular pentagon and a line segment , and represented by the product 5 x . The dual polyhedron dual of a pentagonal prism is a pentagonal bipyramid . The symmetry group of a right pentagonal prism is dihedral group D sub 5h sub of order 20. The rotation group is D sub 5 sub of order 10. Volume As in most prisms, the volume is found by taking the area of the base, with a side length of a , and multiplying it by the height h . See also Prism geometry Set of prisms Triangular prism Cube Square capped prismHexagonalprism Use Nonuniform pentagonal prisms called Pentaprism s are also used in optics to rotate an image through a right angle without changing its chirality . In polychora It exists as cells of four uniform polychoron polychora in 4 dimensions class wikitable width 400 align center cantellated 600 cell BR CDD node 5 node 1 3 node 3 node 1 cantitruncated 600 cell BR CDD node 5 node 1 3 node 1 3 node 1 runcinated 600 cell BR CDD node 1 5 node 3 node 3 node 1 runcitruncated 600 cell BR CDD node 1 5 node 3 node 1 3 node 1 align center File 600 cell t02 H3.svg 100px File 120 cell t123 H3.png 100px File 120 cell t03 H3.png 100px File 120 cell t023 H3.png 100px External links mathworld urlname PentagonalPrism title Pentagonal prism http polyhedra.org poly show 23 pentagonal prism Pentagonal Prism ... more details
onto its 8 triangular faces. The triangular prism first orthographic projection of the octahedral prism into 3D space has a hexagonalprism ic envelope. The two octahedral cells project onto the two hexagonal faces. One triangular prismic cell projects onto a triangular prism at the center of the envelope ...class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Octahedral prism bgcolor ffffff align center colspan 2 Image Octahedral prism.png 220px BR Schlegel diagram bgcolor e7dcc3 Type Uniform polychoron Prismatic uniform polychora Prismatic uniform polychoron bgcolor e7dcc3 Uniform index 51 bgcolor e7dcc3 Schl fli symbol 3,4 x BR t sub 1 sub 3,3 x BR s 2,3 x bgcolor e7dcc3 Coxeter Dynkin diagram Coxeter Dynkin CDD node 1 3 node 4 node 2 node 1 BR CDD node 3 node 1 3 node 2 node 1 BR CDD node h 3 node h 2x node h 2 node 1 bgcolor e7dcc3 Cells 2 Octahedron 3.3.3.3 Image octahedron.png 30px BR 8 triangular prism 3.4.4 Image triangular prism.png 30px bgcolor e7dcc3 Faces 16 triangle 3 , 12 Square geometry 4 bgcolor e7dcc3 Edges 30 bgcolor e7dcc3 Vertices 12 bgcolor ... prism is a convex uniform polychoron uniform polychoron four dimensional polytope . This polychoron has 10 polyhedron polyhedral cells 2 octahedron octahedra connected by 8 triangular prism s. Related ... hyperprisms . It is one of 18 uniform polyhedral prisms created by using uniform Prism geometry prism s to connect pairs of parallel Platonic solid s and Archimedean solid s. Alternative names Octahedral dyadic prism Norman Johnson mathematician Norman W. Johnson Ope Jonathan Bowers, for octahedral prism Triangular antiprismatic prism Triangular antiprismatic hyperprism Structure The octahedral prism consists of two octahedra connected to each other via 8 triangular prisms. The triangular ... projection of the octahedral prism into 3D space has an octahedral envelope. The two octahedral ... 4D uniform polytopes polychora x x3o4o ope DEFAULTSORT Octahedral Prism Category Four dimensional ... more details
Unreferenced date February 2011 Prism polyhedra db Prism polyhedron stat table P3 For the optical prism Triangular prism optics In geometry , a triangular prism is a three sided Prism geometry prism it is a polyhedron ... faces are the same triangle. As a semiregular or uniform polyhedron A right triangular prism is semiregular ... by the product 3 x . The dual polyhedron dual of a triangular prism is a triangular bipyramid . The symmetry group of a right 3 sided prism with triangular base is dihedral group D sub 3h sub of order ... inversion . Volume The volume of any prism is the product of the area of the base and the distance ... the area of a triangle compute the area of the triangle and multiply this by the length of the prism ... BR CDD node 3 node 1 5 node 1 align center File Uniform tiling 63 t01.png 100px br Truncated hexagonal ... , compound of twenty triangular prisms . There are 9 uniform honeycombs that include triangular prism ... hexagonal prismatic honeycomb , truncated hexagonal prismatic honeycomb , rhombitriangular hexagonal prismatic honeycomb , snub triangular hexagonal prismatic honeycomb , elongated triangular prismatic honeycomb The triangular prism exists as cells of a number of four dimensional uniform polychoron uniform polychora , including class wikitable width 640 align center tetrahedral prism BR CDD node 1 3 node 3 node 2 node 1 octahedral prism BR CDD node 1 3 node 4 node 2 node 1 cuboctahedral prism BR CDD node 3 node 1 4 node 2 node 1 icosahedral prism BR CDD node 1 3 node 5 node 2 node 1 icosidodecahedral prism BR CDD node 3 node 1 5 node 2 node 1 Truncated dodecahedral prism BR CDD node ... 80px File Truncated dodecahedral prism.png 80px align center Rhombicosidodecahedral prism Rhombi cosidodecahedral prism BR CDD node 1 3 node 5 node 1 2 node 1 Rhombicuboctahedral prism Rhombi cuboctahedral prism BR CDD node 1 3 node 4 node 1 2 node 1 Truncated cubic prism BR CDD node 3 node 1 4 node 1 2 node 1 Snub dodecahedral prism BR CDD node h 5 node h 3 node h 2 node 1 Uniform antiprismatic ... more details
Otheruses2 Prism class wikitable bgcolor ffffff cellpadding 5 align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Set of uniform prisms align center colspan 2 image HexagonalPrism BC.svg 220px Uniform prisms BR A hexagonalprism is shown bgcolor e7dcc3 Type uniform polyhedron bgcolor ... n gonal prism net n 9 here In geometry , a prism is a polyhedron with an n sided ... sections parallel to the base faces are the same. Prisms are named for their base, so a prism with a pentagonal base is called a pentagonal prism. The prisms are a subclass of the prismatoid s. General, right and uniform prisms A right prism is a prism in which the joining edges and faces are perpendicular ... and faces are not perpendicular to the base faces, it is called an oblique prism . Some texts may apply the term rectangular prism or square prism to both a right rectangular sided prism and a right square sided prism. The term uniform prism can be used for a right prism with square sides, since such prisms are in the set of uniform polyhedron uniform polyhedra . An n prism, having regular polygon ... polyhedron dual of a right prism is a bipyramid . A parallelepiped is a prism of which the base ... rectangular prism is also called a cuboid , or informally a rectangular box . A right square prism is simply a square box , and may also be called a square cuboid . An equilateral square prism is simply a cube . Volume The volume of a prism is the product of the area of the base and the distance between the two base faces, or the height in the case of a non right prism, note that this means the perpendicular ... is the height. The volume of a prism whose base is a regular n sided polygon with side length s is therefore math V frac n 4 hs 2 cot frac pi n . math Surface area The surface area of a right prism ... . The surface area of a right prism whose base is a regular n sided polygon with side length s and height ... of a right n sided prism with regular base is dihedral group D sub nh sub of order 4 n , except in the case ... more details
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