21. Schlafli ludwig Schläfli first studied theology, then turned to science. of this page ishttp//wwwhistory.mcs.st-andrews.ac.uk/history/Mathematicians/schlafli.html. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Schlfl.htm

22. References For Schlafli Biographisches und Kulturhistorisches aus Briefen und Akten von ludwig Schläfli,Gesnerus 36 wwwhistory.mcs.st-andrews.ac.uk/history/References/schlafli.html. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZA2EF.htm

23. Java Examples ludwig schlafli proved in 1901 that there are exactly six regular solids in fourdimensions. schlafli also proved that the only regular solids in dimensions http://darkwing.uoregon.edu/~koch/java/FourD.html

Java Examples Below is a program which can display all possible three and four dimensional regular solids. Euclid proved around 200 B.C. that there are exactly five regular solids in three dimensions. Ludwig Schlafli proved in 1901 that there are exactly six regular solids in four dimensions. Schlafli also proved that the only regular solids in dimensions greater than or equal to five are the generalized tetrahedron, cube, and octahedron. Richard Koch Department of Mathematics University of Oregon

24. HyperSolids In 1901, ludwig schlafli proved that there are exactly six regular solids in fourdimensions, and only three regular solids in each dimension five or higher http://darkwing.uoregon.edu/~koch/hypersolids/hypersolids.html

HyperSolids About HyperSolids: The Greeks proved that there are exactly five regular solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. In 1901, Ludwig Schlafli proved that there are exactly six regular solids in four dimensions, and only three regular solids in each dimension five or higher. The program HyperSolids can show and rotate all regular solids in dimensions 3 and 4, and show the ``faces'' of these solids. The program is distributed under the GPL public license, and thus free. To obtain it using either Internet Explorer or OmniWeb, click on the link "Program" below and hold the mouse button down until a dialog appears. Choose the option of saving the file "hypersolids.tar.gz" to disk. Move the file to your home directory if it is not already there. Open a terminal window and type gzip -d hypersolids.tar.gz and then tar -xf hypersolids.tar and then rm hypersolids.tar Move the resulting program to the Applications directory. Program Source Code Richard Koch Department of Mathematics University of Oregon Eugene, Oregon 97403

25. Science Forums And Debate - Another Dimension. In 1901, ludwig schlafli showed that there are only six regular polychora1, ludwig schlafli gave the integral representation of the Bessel function, http://www.scienceforums.net/forums/archive/index.php/t-10424.html

Science Forums and Debate Mathematics Analysis / Calculus PDA View Full Version : another dimension. reverse 04-13-2005, 10:41 PM If, X is a line. X squared is an area. X cubed is a volume. What do you suppose X to the power of four is? :D Kygron 04-13-2005, 10:53 PM A hyper-volume, and various other names. I believe you'll find this topic well-explored. For example, you know how if you draw a circle, you can also draw six other circles of the same size around it so that they all join? Well, if you extend that to 3 dimentions it doesn't work any more. But I read a Science News article once that said that in 4 dimentions it works again, and again in 10 and 26! Now try imagining 26D space if you will? reverse 04-13-2005, 11:24 PM I’m having trouble visualising it. I thought Hyperspace was a thing invented to allow Han Solo’s space ship to escape the Death star. This is what I have dug up so far. Around 200 B.C., Euclid's extraordinaire proved that there are only five regular polyhedra, polytopes in three spatial dimensions: the tetrahedron, cube, octahedron, icosahedron, and the dodecahedron. In 1901, Ludwig Schlafli showed that there are only six regular polychora1, or polytopes in hyperspace. One may believe with more dimensions, there are more regular polytopes. However, the fourth dimension is as complex as it gets. This is because each dimension's increasing "freedom" nullifies its complexity. In fact, all higher dimensions each only have three regular polytopes.

26. Ludwig 1814 ludwig schlafli, Swiss vicar/mathematician 1813 ludwig von Beethoven s 7thSymphony in A, premieres 1813 Carl ludwig Amand Mangold, composer http://www.brainyhistory.com/topics/l/ludwig.html

Atlas Dictionary Encyclopedia Geography ... Add "Today in History" or "Today's Birthdays" to Your Site - it's Easy! Web brainyhistory.com Ludwig Ludwig Encyclopedia Links Peter Ludwig, businessman/art collector, dies at 71 Ludwig Freiherr von Hammerstein-Equord, journalist, dies at 76 Ludwig Ferdinand von Hohenzollern, Germ prince of Prussia, dies at 86 ... History Home About Us Inquire Privacy Terms

27. January 15 Birthdays In History January 15, 1814 ludwig schlafli, Swiss vicar/mathematician January 15, 1813James Marion Sims, South Carolina, surgeon/gynecologist, http://www.brainyhistory.com/daysbirth/birth_january_15.html

Atlas Dictionary Encyclopedia Geography ... Add "Today in History" or "Today's Birthdays" to Your Site - it's Easy! Web brainyhistory.com January 15 Birthdays in History January 15, 1975 Greg Loveridge, cricketer, NZ leg-spinner, did not bowl vs. Zim 1996 January 15, 1975 Mary Pierce, Montreal Canada, tennis star, 1995 Australian Open January 15, 1974 Aubrey Jo Hiller, Missoula Montana, Miss America-Montana 1997 January 15, 1974 Mike Minter, safety for the Carolina Panthers January 15, 1973 Daniel Nijhof, Dutch soccer player, FC Twente January 15, 1973 Randy Srochenski, CFL linebacker for the Saskatchewan Roughriders January 15, 1972 Ernie Reyes, Jr., born in San Jose, California, actor, Ernie-Sidekicks January 15, 1972 Kimberly Anne Massaro, born in St. Louis, Missouri, Miss America, Missouri-5th-1997 January 15, 1971 LeShon Johnson, running back for the Arizona Cardinals January 15, 1971 Regina King, born in Los Angeles, California, actress, Brenda Jenkins-227 January 15, 1970 Dan Landry, born in San Diego, California, volleyball opposite hitter 1996 Olympics January 15, 1970

28. Schlafli Portrait ludwig Schläfli. JOC/EFR February 2000 The URL of this page is http//wwwhistory.mcs.st-andrews.ac.uk/history/PictDisplay/schlafli.html. http://202.38.126.65/mirror/www-history.mcs.st-and.ac.uk/history/PictDisplay/Sch

29. From Per Erik Manne Per@hamilton.nhh.no Newsgroups Sci.math Heather M. Shannon Coxeter Introduction to Geometry (second edition, p.183)has the following quote attributed to ludwig schlafli (18141895) If i http://www.math.niu.edu/~rusin/known-math/98/sliced_cake

From: Per Erik Manne Newsgroups: sci.math Subject: Re: Find a formula for the series : 1, 2, 4, 8, 16, 31 Date: Tue, 12 May 1998 14:46:30 +0200 H. M. Shannon wrote: > > In article , > Per Erik Manne

30. The Particle: Platonic Solids ludwig schlafli proved in 1901 that there are exactly six regular solids in fourdimensions, and also proved that the only regular solids in dimensions http://www.blazelabs.com/f-p-solids.asp

Blaze Labs Research Menu Location: Food for Thought > The Particle > Platonic solids Home Food for Thought Introduction The Particle Introduction Conventional atom model The big flaws of the atom model New proposed atom model ... Sacred geometry Unified Theory Foundations Introduction The elementary entity Gravity explained Standard units / ST conversion ... Does a non-linear electric field gradient generate gravity? Is gravity background radiation pressure? Introduction Action at a distance Radiation pressure Total shadowing effect ... Analysing De Aquino"s System H EHD Thrusters Introduction EHD thruster collection Introduction Triangular 3-stage cascade Hexagonal 2-stage cascade Low profile panel ... Thrusters performance Lifters in vacuum Blaze Team vacuum test NASA vacuum test AIAA Tajmar.M. Paper Full mathematical analysis (PDF) ... The lifter solver (Java) New Energy Research Transmutation of carbon Experiments Introduction 01: Inertia device 02: Teflon coated EHD thruster 03: Lightweight hv supply ... Contact us This page was last modified 09 September 2004 The Particle - The wrong turn that led physics to a dead end By Engineer Saviour - Blaze Labs What's so important about them?

31. Nrich.maths.org::Mathematics Enrichment::Classifying Solids Using Angle Deficien each polygon meeting at a vertex of a regular or semiregular tessellation orsolid, was devised by the Swiss mathematician ludwig schlafli (1814-1895). http://nrich.maths.org/public/viewer.php?obj_id=1381&part=index&refpage=monthind

32. 4D Platonic Solids (Schlafli Symbols) By Russell Towle Is it the set of something? ludwig schlafli, a Swiss, is credited with discoveringthe regular polytopes in ndimensional space. He did this ca. 1850. http://mathforum.org/epigone/geometry-research/claxspotar/v03102801b1ef701add79@

The Math Forum discussions have moved. You will be redirected momentarily. geometry.research Please update your bookmarks.

33. The Math Forum - Math Library - Triangles/Polygons in various stages of truncation, and represented by their schlafli symbols . Cube, Venus de Milo Statue, Utah Teapot, M1 Tank, ludwig Beethoven, http://mathforum.org/library/topics/triangle_g/?keyid=14147730&start_at=51&num_t

34. Schlafli List of References (4 books/articles). A Poster of ludwig Schläfli. http//wwwhistory.mcs.st-andrews.ac.uk/history/Mathematicians/schlafli.html. http://www.bg-rams.ac.at/intranet/Physik/history/Schlafli.html

Ludwig Schläfli Born: 15 Jan 1814 in Grasswil, Bern, Switzerland Died: 20 March 1895 in Bern, Switzerland Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Ludwig Schläfli first studied theology, then turned to science. He worked for ten years as a school teacher in Thun. During this period he studied advanced mathematics in his spare time. Schläfli was an expert linguist speaking many languages including Sanskritt and Rigveda. In 1843 Steiner Jacobi and Dirichlet travelled to Rome and took Schläfli as an interpreter. He gained greatly from discussions with these mathematicians. Schläfli's work was in geometry, arithmetic and function theory. He gave the integral representation of the Bessel function and of the gamma function. He also worked on elliptic modular functions. Schläfli made an important contribution to non- Euclidean (elliptic) geometry when he proposed that spherical three-dimensional space could be regarded as the surface of a hypersphere in Euclidean four-dimensional space. In 1853 Schläfli became professor of mathematics at Bern. His major work

35. Www.needs.org: A Digital Library For Engineering Education three dimensions. ludwig schlafli proved in 1901 that there are exactlysix regular solids in four dimensions. schlafli also proved http://www.needs.org/needs/public/search/search_results/learning_resource/summar

36. Lexikon Ludwig Schläfli Translate this page ALTERNATIVNAMEN, schlafli, ludwig (englische Schreibweise ohne Umlaut).KURZBESCHREIBUNG, Schweizer Mathematiker. GEBURTSDATUM, 15. Januar 1814 http://lexikon.freenet.de/Ludwig_Schläfli

E-Mail Mitglieder Community Suche ... Hilfe document.write(''); im Web in freenet.de in Shopping Branchen Lexikon Artikel nach Themen alphabetischer Index Artikel in Kategorien Weitere Themen Po-Rasur und Zicken- krieg: Olivia Jones mischt das BB-Dorf auf Noch mehr Sex und Intrigen: Die neuen "Housewives" œberraschung: Aldi bietet 3-GHz-PC f¼r nur 499 Euro an Peugeot 20Cup: Doppelter FahrspaŸ ohne Ende ... Expertenrat: So sollte Ihr Depot aussehen Sie sind hier: Startseite Lexikon Ludwig Schl¤fli Ludwig Schl¤fli Ludwig Schl¤fli 15. Januar in Grasswil 20. M¤rz in Bern ) war ein Schweizer Mathematiker und Sprachforscher. Er war ab Professor f¼r Mathematik an der Universit¤t Bern . Schl¤fli studierte erst Theologie, war Linguistikexperte und sprach viele Sprachen, wandte sich dann aber sp¤ter der Mathematik zu. Als Mathematiker arbeitete er auf dem Gebiet der Geometrie , der Arithmetik und der Funktionentheorie Schl¤fli entdeckte, dass es neben den f¼nf regul¤ren Polyedern im dreidimensionalen Raum (die sogenannten Platonische K¶rper ) genau sechs regul¤re K¶rper im vierdimensionalen Raum und in h¶herdimensionalen R¤umen jeweils genau drei regul¤re K¶rper gibt. Allerdings blieb Schl¤flis Werk lange Zeit unbekannt, sein Hauptwerk Theorie der vielfachen Kontinuit¤t wurde erst Bearbeiten WebLinks Kurze Biographie mit Bild http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Schlafli.html

37. Hyperdimensional Hurricanes, Part Three: The Physics Fast forward the film in 1901, ludwig schlafli showed that there are only sixregular polychora1 (or polytopes) in four dimensions. http://www.enterprisemission.com/hurricane3.htm

Hyperdimensional Hurricanes? Part Three: The Physics By Richard C. Hoagland © 2004 The Enterprise Mission So, why could I still not find the source data for MSNBC’s amazing Ivan promo ? I had all my “scouts” out looking too like David Wilcock, who in addition to searching the complexity of NOAA’s websites, was sending out e-mails to his own extensive network. One of those resulted in some stunning “hurricane hunter” aircraft stills (below) from a “Peter Thompson” – which shows the remarkable vorticular activity in Ivan’s eye on Saturday, September 11 th but still no satellite shots of the remarkable geometry shown on MSNBC on Friday night, the 10 th Cheryll , despite her network and meteorological contacts was also coming up with nothing. Then, as Ivan finished his trek across the Gulf of Mexico and was approaching dreaded landfall on the southern coast of the United States – with the whole world watching this, now at Category 4 – the “Ivan promo” suddenly was back on MSNBC! On Wednesday night, September 15 th , I was showing Robin and two more Enterprise associates – Nick Skouras and Dana Balaban comparisons between this amazing (if still incredibly elusive) MSNBC footage, the live MSNBC coverage of Ivan (even then closing in on southern Alabama) and the NOAA computer image of Isabel’s astonishing geometry in 2003....

38. Gale-Edit - Dictionary Of Science Biography - Scientists By Name Schimper, Karl Friedrich; Schimper, Wilhelm Philipp; Schjellerup, Hans CarlFrederik Christian; schlafli, ludwig; Schleiden, Jacob Mathias; Schlesinger, http://www.gale-edit.com/ndsb/scientists.htm

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39. Topology In 1901, ludwig schlafli showed that there are only six regular polychora1, orpolytopes in hyperspace. One may believe with more dimensions, there are more http://temporal_science.tripod.com/introduction/special1.htm

setAdGroup('67.18.104.18'); var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Search: Lycos Tripod Star Wars Share This Page Report Abuse Edit your Site ... Next A polytope is any convex, geometric figure; they are found in all the dimensions. There are an infinite number of regular polytopes in two dimensions, in which they are known as polygons. Around 200 B.C., Euclid's extraordinaire proved that there are only five regular polyhedra, polytopes in three spatial dimensions: the tetrahedron, cube, octahedron, icosahedron, and the dodecahedron. In 1901, Ludwig Schlafli showed that there are only six regular polychora , or polytopes in hyperspace. One may believe with more dimensions, there are more regular polytopes. However, the fourth dimension is as complex as it gets. This is because each dimension's increasing "freedom" nullifies its complexity. In fact, all higher dimensions each only have three regular polytopes. A Geometric Approach Differentiating between figures in the first few dimensions can be quite a task. One of the simplest ways to view higher dimensions is by slicing. A simple three-dimensional figure, a cube, can be sliced parallel to its sides to give a square, a two-dimensional figure. A hypercube, the cubic equivalent in four dimensions, therefore can be sliced to give cubes.

40. What Happened All Those Years Ago - January 1814 Born this day, ludwig schlafli, Swiss vicar, mathematician. 1815 - Bornthis day, Henry Morris Naglee, Brigadier General (Union volunteers). http://www.andibradley.com/whatya/jan15.htm

Items that made the news, trivia, world events, historical landmarks, births and deaths that have occurred through the years. Andi Bradley Computer Designs. January February March April ... Other dates January Those born on this date were born under the sign of Capricorn - Died this day, Servius Sulpicius Galba, 6th emperor of Rome (68-69), in succession to Nero, was assassinated by the Praetorian guard in the Forum Rome, at the age of 70. - Sisinnius began his reign as Catholic Pope. He died 20 days later. - Caliph al-Mustaqfi was blinded and ousted. - Died this day, Peter of Castelnau, French nobleman, murdered. - Emperor Louis IV of Bavaria gave Holland/Zealand to his wife Margaretha. - Born this day, Afonso V 'the African' king of Portugal (1438-1481). - Born this day, Johann Oporinus [Herbster], Swiss book publisher (Koran). - In England, Henry VIII declared himself Supreme Head of the Church under the Act of Supremacy. - The Treaty of Chambord was signed by Henry II of France and several German princes including Maurice of Saxony who ceded Metz, Toul and Verdun to France. - Elizabeth Tudor, daughter of Henry VIII and Anne Boleyn was crowned at Westminster Abbey as Elizabeth I.

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