Infobox hot spring name GrandPrismaticSpring photo GrandPrismaticSpring and Midway Geyser Basin from above.jpg GrandPrismaticSpring and Midway Geyser Basin photo width photo caption An aerial view of GrandPrismaticSpring. location Geothermal areas of Yellowstone Midway Geyser Basin Midway Geyser ... US WY coords ref ref cite rcn 5748 GrandPrismaticSpring ref elevation convert 7270 ft ref cite gnis 1609256 GrandPrismaticSpring ref type Hot Spring height duration frequency discharge convert 560 USgal L 2 per minute temperature convert 160 F C 1 depth convert 160 ft m 1 The GrandPrismaticSpring in Yellowstone National Park is the largest hot spring in the United States , and the third largest ... Midway Geyser Basin Midway Geyser Basin . GrandPrismaticSpring was noted by geologists working ... grandprismatic index.html Origin of name ref History The first records of the spring are from .... ref cite gosa GRANDPRISMATIC GrandPrismaticSpring ref Gallery title Images of GrandPrismaticSpring footer width 150 lines 2 file GrandPrismaticSpring in Yellowstone.jpg GrandPrismaticSpring file Grandprismatic spring.jpg GrandPrismaticSpring and Midway Geyser Basin References Commons category GrandPrismaticSpring reflist Lower Midway Wyoming Category Yellowstone geothermal features Category Hot springs of Wyoming Category Geothermal features of Teton County, Wyoming da GrandPrismaticSpring de GrandPrismaticSpring es Gran Fuente Prism tica fr GrandPrismaticSpring lb GrandPrismaticSpring nl GrandPrismaticSpring pl GrandPrismaticSpring ru ... crossed the Midway Geyser Basin and made note of a boiling lake , most likely the GrandPrismaticSpring, ref cite book chapter The Fire Hole Era of the American Fur Company, 1833 1840 title Colter ... is responsible for making all large bodies of water blue, it is particularly intense in GrandPrismatic ... Expedition visited the spring, noting a convert 50 ft m adj on geyser nearby later named Excelsior ... more details
Refimprove date April 2008 The Spring Gland Slam is the name used by many gambler punters to informally describe the big three Thoroughbred horse races held in Melbourne , Australia , each Southern Hemisphere Spring season spring . The three races involved are the Caulfield Cup , Cox Plate and Melbourne Cup which is held on the first Tuesday of each November. There is no official Triple Crown of Thoroughbred Racing Triple Crown for these Melbourne races, but racing fans consider these three Group 1 races to be the major interconnected component of the spring carnival package, while also acknowledging that only a superhorse could win them all in the same season to complete a Wiktionary grand slam grand slam . Please leave in. It links to the article that defines Grand Slam as a general sports term applied when achieving something special , so it is relevant Only one horse has ever managed this feat, the great New Zealand galloper Rising Fast , in 1954. More recently, popular Might and Power won all three races, though not in the same year. The SpringGrand Slam in Melbourne is considered by some in the racing industry to be more difficult to win than the famous Triple Crown of Thoroughbred Racing United States Triple Crowns Triple Crown in the United States because the Australian races contain many more variables. The Triple Crown &mdash involving the Kentucky Derby , Preakness Stakes and Belmont Stakes &mdash is contested only by three year olds who race over distances between 1910 metres Preakness and 2400 metres Belmont . The horses all carry the same weight fillies a little less than colts and geldings , and none of the horses are being asked to race around the track in an unaccustomed direction. In Melbourne, the races are open to all horses aged three and over, and they race between 2,040 metres Cox Plate and 3,200 metres Melbourne Cup . The weight carried by horses ... and counter clockwise tracks. All Spring Gland Slam races in Melbourne are raced counter clockwise ... more details
A prismatic surface is a surface generated by all the lines that are parallel geometry parallel to a given line geometry line and intersect a broken line that is not in the same plane geometry plane as the given line. The broken line is the directrix of the surface the parallel lines are its generators or elements . If the broken line is closed i.e. a closed polygon , then the surface is a closed prismatic surface . With regards to crystallography , a prismatic surface is a single face geometry face of a prismatic form, which is an open form consisting of three, four, or six identical faces related by a symmetry operator. See also Prism geometry Prism Category Surfaces Geometry stub ... more details
File Prismatic joint.svg 200px thumb right Prismatic joint seen in 2 dimensional form, noting that the joint may only move in one direction. Bottom shows a sample piston cylinder cutout which utilizes a prismatic joint. A prismatic joint provides a linear sliding movement between two bodies, and is often called a slider, as in the slider crank linkage. A prismatic joint is formed with a polygonal cross section to resist rotation. See for example the dovetail joint and linear bearing linear bearings . The relative position of two bodies connected by a prismatic joint is defined by the amount of linear slide of one relative to the other one. This one parameter movement identifies this joint as a one Degrees of freedom mechanics degree of freedom kinematic pair . . ref name norton cite book last Norton first Robert L. title Design of Machinery publisher McGraw Hill Higher Education location Boston, MA date 2008 edition 4th pages 33 chapter 2 isbn 9780073121581 language English American ref Prismatic joints provide single axis sliding often found in hydraulic and pneumatic cylinders. ref name uta cite web url http www.robotics.utexas.edu rrg learn more low ed joints title Joint Types last Robotics Research Group publisher University of Texas at Austin language English American accessdate 2009 02 04 ref See also Degrees of freedom mechanics Kinematic pair Kinematics Revolute joint References reflist KinematicPair Category Kinematics Category Rigid bodies classicalmechanics stub pt Junta prism tica ... more details
Technical date November 2010 In archaeology , a prismatic blade is a long, narrow, specialized lithic flake with parallel margins. Prismatic blades are removed from polyhedral blade lithic core core s through Pressure flaking pressure reduction . This process results in a very standardized finished tool and Debitage waste assemblage . While the prismatic blade industry is most often associated with obsidian especially in Pre Columbian Mesoamerica , it is not limited to that material chert , flint , and chalcedony blades are not uncommon. Morphology Image chunchucmil obsidian.jpg thumb An obsidian prismatic blade fragment from Chunchucmil , Yucat n , Mexico Prismatic blades are often trapezoid al in cross section see image , but very close in appearance to an isosceles trapezoid . Triangular blades in cross section are also common. The ventral surface of the prismatic blade is very smooth, sometimes bearing slight rippling reflecting the direction of applied force and a very small bulb of applied force indicative of pressure reduction . Flake scars are absent on the ventral surface of these blades, though Eraillure eraillure flakes are sometimes present on the bulb . The dorsal surface, on the other hand, exhibits scar ridges running parallel to the long axis of the blade. These facets ..., a feather termination, or a stepped termination. Production Obsidian prismatic blade production ... of prismatic blade production. Fray Toribio de Benavente Motolinia Motolinia , a Spain Spanish observer ... of a razor. ref Hester et al. 1971 ref The production of prismatic blades creates not only a very ... The analysis of obsidian debitage can reveal whether or not prismatic blade production occurred at a site ... E. 1997 Prismatic blademaking, craftsmanship, and production an analysis of obsidian refuse from Ojo ... D. Bryant 1997 Technological typology of prismatic blades and debitage from Ojo de Agua, Chiapas, Mexico ... pp. 65 131, 1971. DEFAULTSORT Prismatic Blade Category Archaeological artefact types Category ... more details
wiktionary springSpring s may refer to Spring season , a season of the year Spring hydrology , a natural source of water Spring device , a mechanical device that stores energy Spring mathematics , a geometric surface in the shape of a helically coiled tube Springs tide , in oceanography, the spring tide TOC right Art and entertainment Art Primavera painting Primavera painting Spring , a painting by Sandro Botticelli, c. 1482 Spring painting Spring painting , an oil by Lawrence Alma Tadema Spring ... Spring film Spring film Kevade , a 1969 Estonian film The Spring , a 1989 film about the Fountain of Youth Spring Pee wee s Playhouse Spring Pee wee s Playhouse , an episode of Pee wee s Playhouse Spring television soap Spring television soap , a Flemish Belgian television series Literature Spring Runelords , a character in The Runelords series of fantasy novels by David Farland Spring Kevade , a novel by Oskar Luts basis for the 1969 film see below Music Works Spring concerto Spring concerto , La primavera , from Vivaldi s The Four Seasons Spring sonata Spring sonata , Violin Sonata No. 5 by Beethoven Symphony No. 1 Schumann Spring , by Robert Schumann Spring Symphony , a symphony by Benjamin Britten In Spring , a symphony by John Knowles Paine Spring Rammstein song Spring Rammstein song Albums Spring Cyann & Ben album Spring Cyann & Ben album Spring Finn Coren album Spring Finn Coren album Spring The Appendix , a follow up album Spring Jon Foreman EP Spring Jon Foreman EP Spring , an album by Clay Hart Spring , an EP by Subtle music Subtle Performers Spring band , an English band, or the band s only album Spring American band , a 1970s pop music duo, known outside the U.S. as American SpringSpring Belgian band , a group that performed at Marktrock Marktrock 2004 Marktrock ... and education Spring , a brand of bottled water Spring Airlines , a Chinese airline Spring store , a Canada ... SPRING Singapore , a governmental department of Singapore Computing Spring game engine , an open ... more details
unreferenced date November 2011 notability date November 2011 The Excellent Prismatic Spray is a magazine devoted to the Dying Earth role playing game and Jack Vance . It is published intermittently by Pelgrane Press and is named for one of the spells used by various wizards in the Dying Earth stories. External links http www.dyingearth.com Pelgrane Press DEFAULTSORT Excellent Prismatic Spray, The Category Role playing game magazines Category British magazines Category Magazines with year of establishment missing hobby mag stub UK mag stub ... more details
otheruses Spring disambiguation SPRING is a freeware GIS and remote sensing image processing system with an object oriented data model which provides for the integration of raster and vector data representations in a single environment. It has Microsoft Windows Windows and Linux versions and provides a comprehensive set of http www.dpi.inpe.br spring english description.html functions , including tools for Satellite Image Processing, Digital Terrain Modeling , Spatial Analysis, Geostatistics, Spatial Statistics, Spatial Databases and Map Management. SPRING is a product of Brazilian National Institute for Space Research INPE , who is developing SPRING since 1992 , and has required over 200 man years of development and includes extensive documentation, tutorials and examples. More than 70,000 users from 60 countries have downloaded the software, as of January 2007 . External links Partners http www.inpe.br INPE National Institute for Space Research. More information http www.dpi.inpe.br springSPRING web site Official project web site. http www.dpi.inpe.br gilberto papers spring.pdf Paper about SPRINGSPRING Integrating remote sensing and GIS by object oriented data modelling Camara G, Souza RCM, Freitas UM, Garrido J Computers & Graphics, 20 3 395 403, May Jun 1996. Related projects http www.terralib.org TerraLib project . Category freeware Category GIS software pt SPRING ... more details
Multiple issues wikify March 2012 unreferenced December 2007 notability December 2007 Spring is a brand of water produced by CCDA Waters, a subsidiary of The Coca Cola Company . Spring and It s only natural are both trademark phrases for the product. Bottled by CCDA Waters, L.L.C, in Milesburg, PA Source of water is located at Big Spring, Bellefonte, PA Long comment to avoid being listed on short pages Coca Cola brands Category Coca Cola brands nonalcoholic drink stub product stub ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Elongated triangular prismatic honeycomb bgcolor ffffff align center colspan 2 Image Elongated triangular prismatic honeycomb.png 220px bgcolor e7dcc3 Type Convex uniform honeycomb Uniform honeycomb bgcolor e7dcc3 Schl fli symbol 3,6 e x bgcolor e7dcc3 Coxeter group ,2 sup sup , ,2, bgcolor e7dcc3 Dual ? bgcolor e7dcc3 Properties vertex transitive The elongated triangular prismatic honeycomb is a space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space . It is composed of cube s and triangular prism s in a ratio of 1 2. It is constructed from an elongated triangular tiling extruded into prisms. It is one of 28 convex uniform honeycomb s. References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 Kaleidoscopes Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 1.9 Uniform space fillings Alfredo Andreini A. Andreini , Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative On the regular and semiregular nets of polyhedra and on the corresponding correlative nets , Mem. Societ Italiana della Scienze, Ser.3, 14 1905 75 129. KlitzingPolytopes flat.htm 3D Euclidean Honeycombs etoph http polyhedra.doskey.com UniformHoneycombs.html Uniform Honeycombs in 3 Space 24 Etoph x DEFAULTSORT Elongated Triangular Prismatic Honeycomb Category Honeycombs geometry polychora stub e ... more details
border 1 bgcolor ffffff cellpadding 5 align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Compound of n p q gonal prisms align center colspan 2 Image UC21 k n m gonal prisms.png 200px n 2, p 5, q 2 bgcolor e7dcc3 Type Uniform polyhedron compound Uniform compound bgcolor e7dcc3 Index UC sub 21 sub bgcolor e7dcc3 Polyhedra n p q gonal prismatic uniform polyhedron prisms bgcolor e7dcc3 Faces 2 n p q , np Square geometry squares bgcolor e7dcc3 Edges 3 np bgcolor e7dcc3 Vertices 2 np bgcolor e7dcc3 Symmetry group np fold Dihedral symmetry in three dimensions prismatic D sub np h sub bgcolor e7dcc3 Subgroup restricting to one constituent p fold Dihedral symmetry in three dimensions prismatic D sub p h sub Each member of this infinite family of uniform polyhedron compound s is a symmetric arrangement of prismatic uniform polyhedron prisms sharing a common axis of rotational symmetry. This infinite family can be enumerated as follows For each positive integer n 1 and for each rational number p q 2 expressed with p and q coprime , there occurs the compound of n p q gonal prisms, with symmetry group D sub np h sub . References citation first John last Skilling title Uniform Compounds of Uniform Polyhedra journal Mathematical Proceedings of the Cambridge Philosophical Society volume 79 pages 447 457 year 1976 doi 10.1017 S0305004100052440 mr 0397554 issue 3 . Category Polyhedral compounds polyhedron stub eo Prisma kombina o de prismoj ... more details
Otheruses Spring disambiguation Infobox film name The Spring image TheSpringFilmCover.jpg image size 150px producer Hugh Parks director John Patterson director John Patterson writer Hugh Parks starring Dack Rambo br Shari Shattuck br Gedde Watanabe distributor Quest Entertainment released 1989 country Film US language English The Spring is a 1989 independent movie, not available in video, about archaeologists Andy Dack Rambo and Matty Gedde Watanabe who discover a diary written by a member of Ponce de Le n s exploration party, which they believe can lead them to the Fountain of Youth. They go to Florida to retrace De Le n s steps, but the secret of their quest gets out and they are pursued by a millionaire with plans to make money from the spring and a voodoo acolyte hoping to find immortality. Andy s investigations bring him in contact with Dyanne Shari Shattuck , an artist living near the search area, who seems to be holding back knowledge of the spring. ref http www.imdb.com title tt0098377 IMDB moviebase, The Spring ref The Spring has few online references and did not break director John Patterson director John Patterson out of television directing, where he found most of his success. His most notable work was 13 episodes he directed for the HBO series The Sopranos . He died in 2005. Dack Rambo was an actor who worked mostly in soap opera s. His highest profile role was as Jack Ewing in the television series Dallas TV series Dallas . He died in 1994. Shari Shattuck is best known for her long running role as Ashley Abbott on the daytime drama The Young and the Restless . Gedde Watanabe is a character actor who typically portrays caricatured Asians with a strong accent. His best known role was spastic exchange student Long Duk Dong in the 1984 film Sixteen Candles . References Reflist DEFAULTSORT Spring, The Category 1989 films Category Independent films ... more details
Infobox film name To Spring image Tospringtitlecard.jpg image size alt caption Title card to the short. director William Hanna uncredited producer Harman and Ising writer narrator starring music Scott Bradley cinematography editing studio Metro Goldwyn Mayer distributor released June 4, 1936 in film 1936 runtime 9 Minutes country United States language English budget gross preceded by followed by To Spring is a 1936 animated short animated musical short distributed by Metro Goldwyn Mayer . The cartoon is a Harman and Ising production, released as part of the Happy Harmonies series. Although the production credit goes to Harman and Ising this short was actually the first cartoon to be directed by the future cartoon giant William Hanna . This short animates the changing of the seasons through the eyes of the gnome s responsible for spring, as well as their hard work that makes it possible. A dark cloud with a deep bellowing voice is used to animate winter, and the elements which nature must fight to put this season behind us. The title To Spring is play on words used to represent the season of spring and action the gnome s must take to wake up and get to work. This cartoon uses the bold and vibrant colors synonymous with spring season springtime , and is an excellent example of the Technicolor process that was very popular at the time. gallery File screengraboftospring.jpg A screen shot of the vivid Technicolor process gallery External links http www.imdb.com title tt0028389 To Spring at the Internet Movie Database Category 1936 films Category Animated film series Category Metro Goldwyn Mayer animated short films ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 PAGENAME bgcolor ffffff align center colspan 2 Image Gyroelongated triangular prismatic honeycomb.png 220px bgcolor e7dcc3 Type Convex uniform honeycomb Uniform honeycomb bgcolor e7dcc3 Schl fli symbol 3,6 ge x &infin bgcolor e7dcc3 Symmetry group ? bgcolor e7dcc3 Dual bgcolor e7dcc3 Properties vertex transitive The gyroelongated triangular prismatic honeycomb is a uniform space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space. It is composed of cube s and triangular prism s in a ratio of 1 2. It is created by alternating laters of cubes and triangular prisms, with the prisms alternating in orientation by 90 degrees. It is related to the elongated triangular prismatic honeycomb which has the triangular prisms with the same orientation. Edge framework Image Gyroelongated triangular prismatic tiling.png 220px thumb Frame model perspective References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 The Geometrical Foundation of Natural Structure book cite book first Keith last Critchlow authorlink Keith Critchlow title Order in Space A design source book publisher Viking Press year 1970 isbn 0 500 34033 1 Kaleidoscopes Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 1.9 Uniform space fillings Alfredo Andreini A. Andreini , Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti ... more details
border 1 bgcolor ffffff cellpadding 5 align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Compound of n p q gonal antiprisms align center colspan 2 Image UC23 k n m gonal antiprisms.png 100px n 2, p 5, q 3 Image UC25 k n m gonal antiprisms.png 100px n 2, p 5, q 2 bgcolor e7dcc3 Type Uniform polyhedron compound Uniform compound bgcolor e7dcc3 Index q odd UC sub 23 sub q even UC sub 25 sub bgcolor e7dcc3 Polyhedra n p q gonal prismatic uniform polyhedron antiprisms bgcolor e7dcc3 Faces 2 n p q unless p q 2 , 2 np triangles bgcolor e7dcc3 Edges 4 np bgcolor e7dcc3 Vertices 2 np bgcolor e7dcc3 Symmetry group nq odd np fold Dihedral symmetry in three dimensions antiprismatic D sub np d sub nq even np fold Dihedral symmetry in three dimensions prismatic D sub np h sub bgcolor e7dcc3 Subgroup restricting to one constituent q odd p fold Dihedral symmetry in three dimensions antiprismatic D sub p d sub q even p fold Dihedral symmetry in three dimensions prismatic D sub p h sub Each member of this infinite family of uniform polyhedron compound s is a symmetric arrangement of prismatic uniform polyhedron antiprisms sharing a common axis of rotational symmetry. This infinite family can be enumerated as follows For each positive integer n 1 and for each rational number p q 3 2 expressed with p and q coprime , there occurs the compound of n p q gonal antiprisms, with symmetry group D sub np d sub if nq is odd D sub np h sub if nq is even Where p q 2, the component is the tetrahedron or dyadic antiprism . In this case, if n 2 then the compound is the stella octangula , with higher symmetry O sub h sub . References citation first John last Skilling title Uniform Compounds of Uniform Polyhedra journal Mathematical Proceedings of the Cambridge Philosophical Society volume 79 pages 447 457 year 1976 doi 10.1017 S0305004100052440 mr 0397554 issue 3 . Category Polyhedral compounds polyhedron stub eo Prisma kombina o de kontra prismoj ... more details
Infobox face uniform tiling Image File Tiling Dual Semiregular V3 3 3 4 4 Prismatic Pentagonal.svg Type List of uniform planar tilings Dual uniform tiling Face List pentagon irregular pentagons Symmetry Group cmm BR or 2 22 BR or ,2 sup sup , Face Type V3.3.3.4.4 Dual Elongated triangular tiling Property List face transitive In geometry , the prismatic pentagonal tiling is a List of uniform planar tilings dual uniform tiling in the Euclidean plane. It is one of 14 known isohedral figure isohedral pentagon tiling s. John Horton Conway Conway calls it a iso 4 pentille . ref John H. Conway, Heidi Burgiel, Chaim Goodman Strass, The Symmetries of Things 2008, ISBN 978 1 56881 220 5 http www.akpeters.com product.asp?ProdCode 2205 Chapter 21, Naming Archimedean and Catalan polyhedra and tilings, p288 table ref It is the dual of the elongated triangular tiling . ref MathWorld urlname DualTessellation title Dual tessellation ref See also Tilings of regular polygons List of uniform planar tilings References cite book author Branko Gr nbaum Gr nbaum, Branko and Shephard, G. C. title Tilings and Patterns location New York publisher W. H. Freeman year 1987 isbn 0 716 71193 1 Chapter 2.1 Regular and uniform tilings , p.58 65 The Geometrical Foundation of Natural Structure book p37 Harold Scott MacDonald Coxeter H.S.M. Coxeter , Kaleidoscopes Selected Writings of H.S.M. Coxeter , editied by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 p 276 Notes reflist geometry stub Category Tessellation eo Prisma kvinlatera kahelaro ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 PAGENAME bgcolor ffffff align center colspan 2 Image Triangular hexagonal prismatic honeycomb.png 220px bgcolor e7dcc3 Type Convex uniform honeycomb Uniform honeycomb bgcolor e7dcc3 Schl fli symbol t sub 1 sub 6,3 x &infin bgcolor e7dcc3 Coxeter Dynkin diagram CDD node 6 node 1 3 node 2 node 1 infin node bgcolor e7dcc3 Coxeter group 6,3,2,&infin bgcolor e7dcc3 Dual ? bgcolor e7dcc3 Properties vertex transitive The triangular hexagonal prismatic honeycomb is a space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space . It is composed of hexagonal prism s and triangular prism s in a ratio of 1 2. It is constructed from a trihexagonal tiling extruded into prisms. It is one of 28 convex uniform honeycomb s. References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 Kaleidoscopes Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 1.9 Uniform space fillings Alfredo Andreini A. Andreini , Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative On the regular and semiregular nets of polyhedra and on the corresponding correlative nets , Mem. Societ Italiana della Scienze, Ser.3, 14 1905 75 129. KlitzingPolytopes flat.htm 3D Euclidean Honeycombs thiph http polyhedra.doskey.com UniformHoneycombs.html Uniform Honeycombs in 3 Space 17 Thiph polychora stub Category Honeycombs ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 PAGENAME bgcolor ffffff align center colspan 2 Image Rhombitriangular hexagonal prismatic honeycomb.png 220px bgcolor e7dcc3 Type Convex uniform honeycomb Uniform honeycomb bgcolor e7dcc3 Schl fli symbol t sub 0,2 sub 6,3 x &infin bgcolor e7dcc3 Coxeter Dynkin diagram CDD node 1 6 node 3 node 1 2 node 1 infin node bgcolor e7dcc3 Coxeter group 6,3,2,&infin bgcolor e7dcc3 Dual ? bgcolor e7dcc3 Properties vertex transitive The rhombitriangular hexagonal prismatic honeycomb is a space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space . It is composed of hexagonal prism s, cube s, and triangular prism s in a ratio of 1 3 2. It is constructed from a rhombitrihexagonal tiling extruded into prisms. It is one of 28 convex uniform honeycomb s. References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 Kaleidoscopes Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 1.9 Uniform space fillings Alfredo Andreini A. Andreini , Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative On the regular and semiregular nets of polyhedra and on the corresponding correlative nets , Mem. Societ Italiana della Scienze, Ser.3, 14 1905 75 129. KlitzingPolytopes flat.htm 3D Euclidean Honeycombs rothaph http polyhedra.doskey.com UniformHoneycombs.html Uniform Honeycombs in 3 Space 20 Rotha ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 PAGENAME bgcolor ffffff align center colspan 2 Image Gyrated triangular prismatic honeycomb.png 250px bgcolor e7dcc3 Type Convex uniform honeycomb bgcolor e7dcc3 Schl fli symbol 3,6 g x &infin bgcolor e7dcc3 Cell types triangular prism 3.4.4 bgcolor e7dcc3 Face types triangle 3 , square geometry 4 bgcolor e7dcc3 Vertex figure Image VF gyrated prismatic triangular.png bgcolor e7dcc3 Cells edges E sub 1 sub triangular prism 3.4.4 sup 5 sup BR E sub 2 sub triangular prism 3.4.4 sup 4 sup bgcolor e7dcc3 Faces edges E sub 1 sub triangle 3 . square geometry 4 . square geometry 4 . square geometry 4 . square geometry 4 BR E sub 2 sub triangle 3 . square geometry 4 . triangle 3 . square geometry 4 bgcolor e7dcc3 Cells vertex 3.4.4 sup 12 sup bgcolor e7dcc3 Faces vertex triangle 3 sup 3 sup . square geometry 4 sup 8 sup bgcolor e7dcc3 Edges vertex 8 bgcolor e7dcc3 Coxeter group 6,3,2 sup sup bgcolor e7dcc3 Dual ? bgcolor e7dcc3 Properties vertex transitive Image Gyrated triangular prismatic tiling.png 250px thumb wireframe The gyrated triangular prismatic honeycomb is a space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space made up of triangular prism s. It is vertex uniform with 12 triangular prisms per vertex. It can be seen as parallel planes of square tiling with alternating offsets caused by layers of paired triangular prisms. The prisms in each layer are rotated by a right angle to those in the next layer. It is one of 28 convex uniform honeycomb s. See also cubic honeycomb References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 The Geometrical Foundation of Natural Structure boo ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 Snub square prismatic honeycomb bgcolor ffffff align center colspan 2 Image Snub square prismatic honeycomb.png 220px bgcolor e7dcc3 Type Convex uniform honeycomb Uniform honeycomb bgcolor e7dcc3 Schl fli symbol s sub sub 4,4 x bgcolor e7dcc3 Coxeter Dynkin diagram CDD node h 4 node h 4 node h 2 node 1 infin node bgcolor e7dcc3 Coxeter group 4,4 sup sup ,2,&infin bgcolor e7dcc3 Dual ? bgcolor e7dcc3 Properties vertex transitive The snub square prismatic honeycomb is a space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space . It is composed of cube s and triangular prism s in a ratio of 1 2. It is constructed from a snub square tiling extruded into prisms. It is one of 28 convex uniform honeycomb s. References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 Kaleidoscopes Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 1.9 Uniform space fillings Alfredo Andreini A. Andreini , Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative On the regular and semiregular nets of polyhedra and on the corresponding correlative nets , Mem. Societ Italiana della Scienze, Ser.3, 14 1905 75 129. KlitzingPolytopes flat.htm 3D Euclidean Honeycombs x o s4s4s sassiph O10 http polyhedra.doskey.com UniformHoneycombs.html Uniform Honeycombs in 3 Space 10 Sassiph Category Honeycombs ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 PAGENAME bgcolor ffffff align center colspan 2 Image Triangular prismatic honeycomb.png 220px bgcolor e7dcc3 Type Convex uniform honeycomb Uniform honeycomb bgcolor e7dcc3 Schl fli symbol t sub 0 sub 3,6 x &infin bgcolor e7dcc3 Coxeter Dynkin diagram s CDD node 1 3 node 6 node 2 node 1 infin node BR CDD node 1 split1 branch 2 node 1 infin node BR CDD node h split1 branch hh 2 node 1 infin node bgcolor e7dcc3 Coxeter group s 6,3,2,&infin BR 3 sup 3 sup ,2,&infin BR 3 sup 3 sup sup sup ,2,&infin bgcolor e7dcc3 Dual Hexagonal prismatic honeycomb bgcolor e7dcc3 Properties vertex transitive The triangular prismatic honeycomb is a space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space . It is composed entirely of triangular prism s. It is constructed from a triangular tiling extruded into prisms. It is one of 28 convex uniform honeycomb s. References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 Kaleidoscopes Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 1.9 Uniform space fillings Alfredo Andreini A. Andreini , Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative On the regular and semiregular nets of polyhedra and on the corresponding correlative nets , Mem. Societ Italiana della Scienze, Ser.3, 14 1905 75 129. KlitzingPolytopes flat.htm 3D Euclidean Hon ... more details
class wikitable align right style margin left 10px width 250 bgcolor e7dcc3 colspan 2 PAGENAME bgcolor ffffff align center colspan 2 Image Truncated square prismatic honeycomb.png 220px bgcolor e7dcc3 Type Convex uniform honeycomb Uniform honeycomb bgcolor e7dcc3 Schl fli symbol t sub 0,1 sub 4,4 x &infin BR t sub 0,1,2 sub 4,4 x &infin bgcolor e7dcc3 Coxeter Dynkin diagram CDD node 1 4 node 1 4 node 2 node 1 infin node BR CDD node 1 4 node 1 4 node 1 2 node 1 infin node bgcolor e7dcc3 Coxeter group 4,4,2,&infin bgcolor e7dcc3 Dual ? bgcolor e7dcc3 Properties vertex transitive The truncated square prismatic honeycomb is a space filling tessellation or honeycomb geometry honeycomb in Euclidean 3 space . It is composed of octagonal prism s and cube s in a ratio of 1 1. It is constructed from a truncated square tiling extruded into prisms. It is one of 28 convex uniform honeycomb s. References George Olshevsky , Uniform Panoploid Tetracombs , Manuscript 2006 Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs Branko Gr nbaum , Uniform tilings of 3 space. Geombinatorics 4 1994 , 49 56. Norman Johnson mathematician Norman Johnson Uniform Polytopes , Manuscript 1991 Kaleidoscopes Selected Writings of H.S.M. Coxeter , edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley Interscience Publication, 1995, ISBN 978 0 471 01003 6 http www.wiley.com WileyCDA WileyTitle productCd 0471010030.html Paper 22 H.S.M. Coxeter, Regular and Semi Regular Polytopes I , Math. Zeit. 46 1940 380 407, MR 2,10 1.9 Uniform space fillings Alfredo Andreini A. Andreini , Sulle reti di poliedri regolari e semiregolari e sulle corrispondenti reti correlative On the regular and semiregular nets of polyhedra and on the corresponding correlative nets , Mem. Societ Italiana della Scienze, Ser.3, 14 1905 75 129. KlitzingPolytopes flat.htm 3D Euclidean Honeycombs o x4x4o tassiph O6 http polyhedra.doskey.com UniformHone ... more details
In four dimensional geometry , a prismatic uniform polytope is a uniform polychoron with a nonconnected Coxeter Dynkin diagram symmetry group. These figures are analogous to the set of prism s and antiprism uniform polyhedra, but add a third category called duoprism s, constructed as a product of two regular polygons. The prismatic uniform polychora consist of two infinite families Polyhedral prism s products of a line segment and a uniform polyhedron. This family is infinite because it includes prisms built on 3 dimensional prisms and antiprism s. Duoprism s product of two regular polygons. Convex polyhedral prisms The most obvious family of prismatic polychora is the polyhedral prisms, i.e. products of a polyhedron with a line segment . The cells of such a polychoron are two identical uniform polyhedra lying in parallel hyperplane s the base cells and a layer of prisms joining them the lateral cells . This family includes prisms for the 75 nonprismatic uniform polyhedron uniform polyhedra of which 18 are convex one of these, the cube prism, is listed above as the tesseract . citation ... 1 6 node 2 node 1 6 node 12 hexagonal prisms ... Polygonal prismatic prisms p The infinte set of uniform prismatic prisms overlaps with the 4 p duoprisms p 3 CDD node 1 p node 2 node 1 2 node 1 p cubes and 4 p gonal prisms All are the same as 4 p duoprism Triangular prismatic prism CDD node 1 3 node 2 node 1 2 node 1 3 cubes and 4 triangular prisms same as 3 4 duoprism Square prismatic prism CDD node ... prismatic prism CDD node 1 5 node 2 node 1 2 node 1 5 cubes and 4 pentagonal prisms same as 4 5 duoprism Hexagonal prismatic prism CDD node 1 6 node 2 node 1 2 node 1 6 cubes and 4 hexagonal prisms same as 4 6 duoprism Heptagonal prismatic prism CDD node 1 7 node 2 node 1 2 node 1 7 cubes and 4 heptagonal prisms same as 4 7 duoprism Octagonal prismatic prism CDD node 1 8 node 2 node 1 2 node ... uniform polytopes polychora Polytopes DEFAULTSORT Prismatic Uniform Polychoron Category Four dimensional ... more details
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