1. Schlafli Ludwig Schläfli first studied theology, then turned to science. The URL of this pageis http//wwwhistory.mcs.st-andrews.ac.uk/Mathematicians/Schlafli.html. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Schlafli.html

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 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. Steiner Jacobi and Dirichlet Bessel function and of the gamma function . He also worked on elliptic modular functions. Theory of continuous manifolds was published in 1901 after his death and only then did his importance become fully appreciated. He received the Steiner Prize from the Berlin Academy for his discovery of the 27 lines and the 36 double six on the general cubic surface. Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (4 books/articles) Mathematicians born in the same country Other Web sites SuperAm Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

2. Poster Of Schlafli Ludwig Schläfli. lived from 1814 to 1895. Find out more at http//wwwhistory.mcs.st-andrews.ac.uk/history/Mathematicians/Schlafli.html. http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Schlafli.html

lived from 1814 to 1895 Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Schlafli.html

3. Polytopes Some examples are given below, labeled with their schlafli symbols (ludwig schlafliwas a pioneer in the study of regular polytopes, and devised these symbols http://home.inreach.com/rtowle/Polytopes/polytope.html

Polygons, Polyhedra, Polytopes Polytope is the general term of the sequence, point, segment, polygon, polyhedron, ... So we learn in H.S.M. Coxeter 's wonderful Regular Polytopes (Dover, 1973). When time permits, I may try to provide a systematic approach to higher space. Dimensional analogy is an important tool, when grappling the mysteries of hypercubes and their ilk. But let's start at the beginning, and to simplify matters, and also bring the focus to bear upon the most interesting ramifications of the subject, let us concern ourselves mostly with regular polytopes. You may wish to explore my links to some rather interesting and wonderful polyhedra and polytopes sites, at the bottom of this page. Check out an animated GIF (108K) of an unusual rhombic spirallohedron. Yes, we shall be speaking of the fourth dimension, and, well, the 17th dimension, or for that matter, the millionth dimension. We refer to Euclidean spaces, which are flat, not curved, although such a space may contain curved objects (like circles, spheres, or hyperspheres, which are not polytopes). We are free to adopt various schemes to coordinatize such a space, so that we can specify any point within the space; but let us rely upon Cartesian coordinates, in which a point in an n -space is defined by an n -tuplet of real numbers. These real numbers specify distances from the origins along

4. Java Examples five regular solids in three dimensions. ludwig schlafli proved in 1901 that there are exactly six schlafli also proved that the only regular solids in dimensions greater than 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

5. Food For Thought: Biographies 18501924. Scharwenka, ludwig Philipp (German composer; brother of Franz Schlaf, Johannes (German writer) 1862-1941. schlafli, ludwig (Swiss mathematician) 1814-1895 http://www.junkfoodforthought.com/bio/bio_S.htm

Sa, Mem de (Portuguese colonial official) Saada, Antun (Brazilian-born Syrian political agitator) Sa'adia ben Joseph (Jewish commentator, scholar) Saarinen, Eero (Finnish-born American architect; son of Eliel) Saarinen, (Gottlieb) Eliel (Finnish-born American architect) Saavedra, Juan Bautista (Bolivian jurist; president 1921-25) Saavedra Fajardo, Diego (Spanish diplomat, writer) Saavedra Lamas, Carlos (Argentine jurist, diplomat) Saavedra Ramirez de Baquendano, Angel de (Span. polit., writer) Saba (or Sabas), Saint (Turkish Christian monk) Sabatier, (Louis-) Auguste (French Protestant theologian) Sabatier, Paul (French chemist) Sabatini, Rafael (Italian novelist in English) Sabbatini, Nicola (Italian architect) Sabellius (Roman Christian prelate, theologian) fl. c.220 Sabin, Albert Bruce (American physician) Sabine, Sir Edward (British soldier, astronomer) Sabine, Wallace Clement Ware (American physicist) Sabinian (Sabinianus) (Pope 604-606) d.606 Sable, Jean Baptist Point (Haitian-born Am. pioneer trader) Sabutai (or Subotai) (Mongol general) c.1172-1245

6. Famous Mathematicians With An S Georg Scheffers. Wilhelm Schickard. ludwig schlafli. Oscar Schlomilch. Erhard Schmidt Zyoiti Suetuna. Lorna Swain. ludwig Sylow. James Joseph Sylvester http://www.famousmathematician.com/az/mathematician_S.htm

Mathematicians - S Giovanni Saccheri Johannes de Sacrobosco Gregorius Saint-Vincent Stanislaw Saks Pedro Nunes Salaciense Raphael Salem George Salmon Shams al Samarqandi Ibn al Samawal Anatoly Samoilenko Edward Sang Narayana Sankara Winifred Sargent Shigeo Sasaki Joseph Saurin Leonard Savage Felix Savary Sir Henry Savile Alice Schafer Robert Schatten Juliusz Schauder Henry Scheffe Georg Scheffers Wilhelm Schickard Ludwig Schlafli Oscar Schlomilch Erhard Schmidt Isaac Schoenberg Arthur Schonflies Frans van Schooten Friedrich Schottky Pieter Schoute Jan Schouten Otto Schreier Ernst Schroder Erwin Schrodinger Heinrich Schroeter Hermann Schubert Issai Schur Laurent Schwartz Herman Schwarz Stefan Schwarz Julian Schwinger Charlotte Scott Sheila Scott Jan Segner Beniamino Segre Corrado Segre Philipp von Seidel Karl Seifert Takakazu Seki Kowa Atle Selberg Reinhard Selten Jack Semple Jean-Pierre Serre Joseph Serret

7. Schlafli Biography of ludwig Schläfli (18141895) ludwig Schläfli. Born 15 Jan 1814 in Grasswil, Bern, Switzerland http//www-history.mcs.st-andrews.ac.uk/ Mathematicians/schlafli.html http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Schlafli.html

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 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. Steiner Jacobi and Dirichlet Bessel function and of the gamma function . He also worked on elliptic modular functions. Theory of continuous manifolds was published in 1901 after his death and only then did his importance become fully appreciated. He received the Steiner Prize from the Berlin Academy for his discovery of the 27 lines and the 36 double six on the general cubic surface. Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (4 books/articles) Mathematicians born in the same country Other Web sites SuperAm Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

8. Bibliography Johnson Reprint Corp, 1968. schlafli, ludwig, 18141895, Gesammeltemathematische Abhandlungen / hrsg. vom Steiner-schlafli-Komitee http://www.library.cornell.edu/math/bibliography/display.cgi?start=S&

9. Cornell Univeristy Mathematics Library 198. schlafli, ludwig, Theorie der Vielfachen Kontinuitat ,1901, 249. http://www.library.cornell.edu/math/reformatpqrs.php

Catalog Library Gateway Articles Databases ... EMPSL Reformatted Books: P Q R S Available for purchase from the Mathematics Library P [On to Q] [Back to Top] Author Title # of images Page, James Morris "Ordinary Differential Equations",1897 Painleve, Paul "Lecons sur l'integration des equations differentielles de la mecanique et applications",1895 Painleve, Paul "Lecons sur la Theorie Analytique des Equations Differentielles",1897 Parfentev, Nikolai Nikolaevich "Etudes sur la Theorie de la Croissance des Fonctions",1910 Pascal, Ernesto "Determinanten",1900 Pascal, Ernesto "Gruppi Continui di Trasformazioni",1903 Pascal, Ernesto "Miei Integrafi per Equazioni Differenziali",1914 Pascal, Ernesto "Repertorio di Matematiche Superiori. Vol.1",1898 Pascal, Ernesto "Repertorio di Matematiche Superiori. Vol.2",1900 Pascal, Ernesto "Variationsrechnung",1899 Pasch, Moritz "Veranderliche und Funktion",1914

10. Schlafli Double Six This is about getting a glimpse of transcendence. I m talking aboutthe schlafli Double 6 . ludwig schlafli was a mathematician. http://www.jackstrawsstudios.com/Archives/superam/Archives/schlafli/schlafli_art

11. Java Examples five regular solids in three dimensions. ludwig schlafli proved in 1901 that there are exactly six schlafli also proved that the only regular solids in dimensions greater than http://darkwing.uoregon.edu/~koch/java/FourDSmall.html

Java Examples Below is a program which can display all possible three dimensional regular solids, and all but two of the regular four dimensional 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

12. 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

Born: 15 Jan 1814 in Grasswil, Bern, Switzerland Died: 20 March 1895 in Bern, Switzerland Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page 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. Steiner Jacobi and Dirichlet Bessel function and of the gamma function. He also worked on elliptic modular functions. Theory of continuous manifolds was published in 1901 after his death and only then did his importance become fully appreciated. He received the Steiner Prize from the Berlin Academy for his discovery of the 27 lines and the 36 double six on the general cubic surface. References (4 books/articles) References elsewhere in this archive: A poster of this mathematician is available Other Web sites: SuperAm, USA Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Schlafli.html

13. 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

Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: Elemente der Mathematik Articles: Mitt. Naturforsch. Ges. Bern 1942 Gesnerus Close this window or click this link Welcome page Biographies Index History Topics Index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Schlafli.html

14. Topology In 1901, ludwig schlafli showed that there are only six regular polychora1, or polytopes in hyperspace. http://temporal_science.tripod.com/introduction/special1.htm

var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" 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. When you take a sheet of paper and look at it from the top, you see a rectangle. If you turn in on its side, you see a line. Between the rectangle and line, you see rhombuses, parallelograms, and other quadrilaterals.

15. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Schickard, Wilhelm Schickard Born 22 April 1592 in Herrenberg (near Tübingen),Württemberg (now Germany) Died 24 Oct 1635 schlafli, ludwig Schläfli Born http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=S

16. Aquafiles : In 1901, ludwig schlafli proved that there are exactly six regular solids in four dimensions, and only three regular http://www.aquafiles.com/pages/h/more3.shtml

Your are currently viewing Mac OS X files beginning with " H " Top h : Page 3 Hold-Up Database ID# 883 Screenshot Visit homepage Review it ! Download ... Speed check License Demo Program Type Carbon Date modified 24-Sep-2001 Version Size Pending 10 is the best rating Description Hold-Up is a brand new software designed to manage your personal finance. Very easy to use, this software is very powerful at the same time and figures many innovating features. User Rating Votes Reviews Visits to homepage Broken link? Not Rated Reviews (0) Let us know Hostal Database ID# 552 Visit homepage Review it ! Download Save for later ... Speed check License Shareware Program Type Carbon Date modified 5-Jun-2001 Version Size Pending 10 is the best rating Description Allows local IP address mapping by creating a Hosts file for your computer. Also allows content filtering by blocking designated hosts. Easy to use database makes managing a Hosts file a snap.

17. Biblioteca Universitaria Di Genova: Fondi Antichi E Speciali - Loria 1865-1885). Quintino SELLA. ludwig schlafli Burgdorf,1814-Berna, 1895. http://www.bibliotecauniversitaria.ge.it/bug/cms/bug/cataloghi/f_a_s/loria.htm

cerca a home b dove siamo ... Fondo mss.e documentari Cassetta Loria A cura di: Oriana Cartaregia, Ariella Pennacchi e Maria Teresa Sanguineti (2000-2001) Carteggio donato nel 1925 dal Prof. Gino Loria, dal quale prende il nome, è caratterizzato dalla corrispondenza [784 unità] di prestigiosi matematici italiani e stranieri col matematico e professore universitario Placido Tardy (Messina 1816- Firenze 1914). Catalogo alfabetico per mittenti Giusto, BELLAVITIS Cassetta Loria, busta n. ; N. Ingr.: 67983 (arco cronologico: 1852-1880 c.a.) Eugenio BELTRAMI Cassetta Loria, busta n. ; N. Ingr.: 67984 (arco cronologico: 1867-1879) Enrico BETTI Cassetta Loria busta ; N. Ingr.: 67981 (arco cronologico: 1850-1891) George Bidell AIRY Cassetta Loria busta n. ; N. Ingr.: 68012 (1838) Baldassarre BONCOMPAGNI LUDOVISI Cassetta Loria, busta n. ; N. Ingr.: 167985 (arco cronologico: 1855-1884 Francesco BRIOSCHI Cassetta Loria, busta ; N. Ingr.: 67986 (arco cronologico: 1856-1880 Felice CASORATI Cassetta Loria, busta n. ; N. Ingr.: 67991 (arco cronologico: 1868-1885 Arthur CAYLEY Cassetta Loria, busta n.

18. 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

19. Ciberoteca - Índice De Autores Translate this page Schilling, Godfrey, Rev, OSF, Schinazi, Robert Glen, Schindler, Solomon,Rabbi. Schipper, L, schlafli, ludwig, Schlagintweit, Emil. Schlegel http://www.ciberoteca.com/search/ind_autor.asp?INI=S&PAG=6

20. Índice De Autores doublesix, Schläflis Doppelsechs. ludwig Schläfli (18141895 http://www.ciberoteca.com/search/lstObrasAutor.asp?AUT=Schlafli, Ludwig

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