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         Catalan Eugene:     more books (23)
  1. NOUVELLES NOTES D'ALGÈBRE ET D'ANALYSE. by Eugène. CATALAN, 1889
  2. Traité Élémentaire Des Séries (French Edition) by Eugène Charles Catalan, 2010-01-09
  3. Traitè Élémentaire des Séries (French Edition) by Eugène Catalan, 2009-04-27
  4. Cours D'Analyse De L'Universite De Liege, Part 1: Du Calcul Integral (1879) (French Edition) by Eugene Catalan, 2010-09-10
  5. Cours D'Analyse De L'Universite De Liege, Part 1: Du Calcul Integral (1879) (French Edition) by Eugene Catalan, 2010-09-10
  6. Mathématicien Belge: Luc de Brabandere, Adolphe Quetelet, Adrien Romain, Joseph Delbeuf, Eugène Charles Catalan, Pierre François Verhulst (French Edition)
  7. Mémoires de Vidocq: Chef de la Police de Sereté, Jusqu'en 1827, Tome Second (Catalan Edition) by Eugène François Vidocq, 2008-08-21
  8. Le Budget D'un Jeune Ménage: Comédie-Vaudeville En Un Acte (Catalan Edition) by Eugéne Scribe, 2008-12-08

21. Eugene
Eugenio d’Ors y Rovira (18821954) catalan philosopher. Owen Lattimore (1900-1989)American sinologist. Miscellaneous eugene of Savoy (1663-1736) A famous
http://www.geocities.com/edgarbook/names/e/eugene.html
For many more names, please return to Edgar's Main Page. Eugene
Gender : Masculine
Language : English, French
Etymology
Eugene
History
Eugene was the name of several early popes and saints. Eugenio was farily popular in Italy, and spread to the rest of Europe after the fame of the Italian general, Prince Eugenio of Savoy (1663-1736).
Pronunciation : YOU-jeen.
Diminuitves Gene
Alternates
Czech Evzen Dutch Eugenius French German Eugen Hawaiian Iukini Hungarian Italian Eugenio Latin Eugenius Polish Eugeniusz Portuguese Romanian Eugen Russian Yevgeni Spanish Eugenio Welsh Owen Owain Owein Owin Owyn Owynn Eoghan Feminine Eugenia Famous Bearers Artists and Authors French dramatist. French painter. (Marie-Joseph Sue) (1804-1857) French novelist. French architect. French playwright. French painter. French painter. French painter. Eugene Field American poet. French photograper. French dramatist. Belgian musician. French violinist. Owen Wister American writer. Belgian writer. Eugen Albert German composer.

22. More Word Origins 8
The sequence of answers is given by 1,2,5,14,42,132 or in general by the function. The function is named for eugene catalan of Belgium (18141894).
http://www.geocities.com/Paris/Rue/1861/arithme9.html
Math Words
and Other Words
of Interest Affine Geometry is the study of measures that are preserved under a transformation that carries each point (x,y) to a new point (ax + cy + e, bx + dy + f). This is sometimes described as a parallel projection from one plane to another. Euler was one of the first to study affine geometry. In an affine geometry Euclid's third and fourth postulates no longer apply.
The main root of affine comes from the Latin root finis for end or border. The prefix is a mutation of ad with the meaning near and the combination was used to mean sharing a common boundary. This was generalized to sharing a common interest of most any kind. Today affinity refers to an attraction of almost any kind.
Axiom In the language of mathematics and logic, an axiom is a statement that is considered to be true without need for proof. The word is often used interchangeably with postulate . The origin comes from the Greek root axios for worthy. An axiom is something that is accepted as worthy of its own accord, without proof or risk of refutation. The root shares a common origin with words relating to leadership or influence such as agitate, agent, and examine. Some other words from this relationship include agony, which originally meant a great conflict or contest, and ambassador (one who is sent around).
Although we often speak of Euclidean axioms or Euclidean postulates, math historian D.E. Smith has written that Euclid seems to have used a more general phrase meaning "common notion". Certainly he would have known of the word axiom as it was used by many of the ancient Greeks, including Aristotle.

23. ANDREU SOTORRA - CATALAN WRITER AND JOURNALIST
Des de la seva estrena a San Diego i posteriorment al'eugene O'Neill Theatre deNova York, el musical en versió original ha obtingut set nominacions als
http://www.andreusotorra.com/teatre/clipdeteatre/novedades.html
CLIP DE TEATRE
[Teatre Novedades]
    (I)
    (II)
    (III)

    (IV)
    (V)
    Diuen els productor de The Full Monty a la catalana que, mentre estaven nous espectacles, van trobar l'estrena de The Full Monty per Internet, a Nova York.
Apolo Artenbrut Beckett, Sala Capitol ...
Tornar a Home Page

24. Eugene Public Library || Book News
The Barcelona Review Multinational project in English, Spanish, catalan and French ofthese links by Kirby Mills, a Reference Librarian at eugene Public Library
http://www.ci.eugene.or.us/Library/reference_booklinks/book_news.html
BOOK NEWS Bestsellers Antiquarian Bookstores, United States Awards ... Central Booking
Reviews, interviews, discussions, first chapters Bookwire
Now more oriented toward the trade than consumers. Links to Bowker's various publications, bestseller lists, author features Terry's World of Audiobooks
Links to clubs, dealers, publishers, reviews The Writer's Almanac
Homepage of Garrison Keiller's radio program, good for current events and which author is celebrating a birthday Authors on the Web
Author news and roundtables, Summer Reading Lists where 100 current authors described the five books they were supposedly reading in 2001 and 2002 Banned books...
The classics, and.... Most frequently challenged books in the 1990s
A pretty good teenage reading list could be constructed from this BACK TO TOP Bestsellers Current bestsellers
Via Publishers Weekly: Hardcover fiction and nonfiction, Paperbacks, Children's, Audio, Religion and Computer BookTV.org: Bestseller lists
Links to various newspapers' versions of the list Oprah's Books
Official site includes the regular list, also Other Books Seen on Oprah, various features involving books and, usually, Oprah

25. PIMS SFU/UBC Number Theory Seminar 12-05-2002
415500 Ron Ferguson (MITACS/SFU/UBC) catalan's Conjecture II Abstract An oldproblem, dating back at least to eugene catalan in the 19th century, is
http://www.pims.math.ca/science/2002/ntseminars/12-05.html
PIMS SFU/UBC Number Theory Seminar
Thursday, December 5, 2002
PIMS Seminar Room (PIMS Seminar Room, West Mall Annex Room 216), UBC Campus Mike Bennett
(University British Columbia)
Catalan's Conjecture I
Abstract:
3:45-4:15 tea break Ron Ferguson (MITACS/SFU/UBC)
Catalan's Conjecture II
Abstract: An old problem, dating back at least to Eugene Catalan in the 19th century, is whether 8 and 9 are the only two consecutive perfect powers (of positive integers). Despite the simplicity of its statement, this problem resisted the efforts of some of the world's greatest mathematicians until 1976, when Rob Tijdeman showed that if xp - yq = 1 (where x, y, p and q are positive integers with p and q at least 2), then x, y, p and q are bounded by an effectively computable constant. This reduces the problem to a finite (though extraordinarily large) computation. In the last year, Preda Mihailescu surprised everyone with a strikingly elegant complete proof that 8 and 9 are in fact the only consecutive powers. His proof is very different than that of Tijdeman, depending very little on techniques from transcendental number theory. In these two talks, we will begin by surveying the (vast) literature on Catalan's conjecture and sketch proofs of a number of partial results due to Cassels and Chao Ka, before proceeding with that of Tijdeman. In the second part, we will outline Mihailescu's insights and show how they write the final chapter in a remarkable tale.

26. OnTab Online: Tabel 51
Liouville, Joseph, 1809 1882. Shanks, William, 1812 - 1882. catalan, eugene-Charles,1814 - 1894. Hermite, Charles, 1822 - 1901. Riemann, Bernhard, 1826 - 1866.
http://www.casia.nl/OnTab/tabel51.html
51. Wiskundigen
Ahmes ca. 1650 vC Pythagoras ca. 540 vC Hippocrates ca. 440 vC Plato ca. 430 vC - ca. 349 vC Hippias ca. 425 vC Theaethetus ca. 417 vC - ca. 369 vC Archytas ca. 400 vC Xenocrates 396 vC - 314 vC Theodorus ca. 390 vC Aristoteles 384 vC - 322 vC Menaechmus ca. 350 vC Euclides ca. 300 vC Archimedes ca. 287 vC - ca. 212 vC Nicomedes ca. 240 vC Eeratosthenes ca. 230 vC Diocles ca. 180 vC Hipparchus ca. 180 vC - ca. 125 vC Hero van Alexandrie ca. 75 Ptolemaeus ca. 85 - ca. 165 Nicomachus van Gerasa ca. 100 Theoon van Smyrna ca. 125 Diophantus 1ste of 3de eeuw Pappus ca. 320 Iamblichus ca. 325 Produs Zu Chongzhi Brahmagupta ca. 628 Al-Chwarizmi ca. 825 Thabit ibn Qurra Mahavira ca. 850 Bhaskara 1114 - ca. 1185 Leonardo van Pisa
(Fibonacci) ca. 1170 - na 1240 Ibn Al-Banna Zhu Shijie ca. 1303 Pacioli, Fra Luca ca. 1445 - 1517 Vinci, Leonardo da Durer, Albrecht Stifel, Michael Tartaglia, Niccolo ca. 1500 - 1557 Cardano, Girolamo

27. Essentialist Explanations
catalan is essentially bad Spanish mixed with even worse French. eugene Holman.catalan is essentially Spanish and French spoken at the same time.
http://mercury.ccil.org/~cowan/essential.html
Essentialist Explanations
8.35th edition This page comprises a list of 484 "essentialist explanations" of the form "Language X is essentially language Y under conditions Z". I have edited some entries for uniformity, clarity, or good English. The entries are grouped for convenience rather than correctness. New contributions are solicited , especially for American and African languages. No flames, please. "[We] do but jest, poison in jest, no offence in the world." Hamlet Index
English
English is essentially bad Dutch with outrageously pronounced French and Latin vocabulary.
Eugene Holman
English is essentially Norse as spoken by a gang of French thugs.
B. Philip Jonsson
English is essentially a bizarre dialect of Chinese, pronounced entirely in the first tone.
John Cowan
English is essentially any other language spoken with a very hot potato in one's mouth.
English is essentially the language you speak without moving your mouth.
Marianne Cowan
English is essentially a language that uses vowels no other language would accept.
English is essentially degenerate Welsh steeped in Latin, Dutch and Franco-Scandinavian Norman.

28. Reading Room Index To The Comic Art Collection
New York catalan Communications, 1991. The Affair of the Thieves' Sanctuary (France's First Detective, eugene François Vidocq) 8 p. in True Comics, no.
http://www.lib.msu.edu/comics/rri/srri/sana.htm
Reading Room Index to the Comic Art Collection,
Special Collections Division,
Michigan State University Libraries:
"Sanahujas" to "Sandy" Back to the S index screen
Back to the
...
Back up the list
Sánchez Abulí, Enrique
Spanish comics artist
Sanderson, Peter
Writer about comics
Sandiford, Robert E.
Writer about comics
Sandwiches
On down the list This segment last edited February 10, 1998

29. Index To Comic Art Collection: "Eubanks" To "Euzebio"
Call no. PN6714.G5 1971 v.2 eugene the Jeep Marvel, Heavy Metal, Escape, Dark Horse, catalan, Drawn and
http://www.lib.msu.edu/comics/rri/erri/eugene.htm
Michigan State University Libraries
Special Collections Division
Reading Room Index to the Comic Art Collection
"Eubanks" to "Euzebio" Back to the E index screen
Back to the
...
Back up the list
Eureka Pocket
Euro-Comics for Beginners
Column by Bart Beaty in The Comics Journal
Europe
See also:
  • Albania
  • Belgium
  • Czechoslovakia
  • France ...
  • Switzerland
    and also
  • Justice League Europe
    EUROPEAN COMIC BOOKS, STRIPS, ETC.
    See also under:
    European Comics
    Column by Paulette Carroll in The Comics Reader, 1979-1983. Sometimes the column was called "EuroComics"
    Eurotica
    Eustace Hayseed
    Feature in comic books
    On down the list
    This segment last edited July 30, 2002
  • 30. Geniestreich Eines Spät Berufenen
    Translate this page Dies also ist eine späte Bestätigung für eugene catalan - und für Preda Mihailescu,den 47-jährigen Mathematiker, der erst vor fünf Jahren in Zürich
    http://www.welt.de/daten/2002/06/23/0623vm340077.htx
    DIE WELT
    Samstag, 29. März 2003 Berlin, 11:52 Uhr
    WELT AM SONNTAG

    WOCHENINHALT

    POLITIK

    WIRTSCHAFT
    ...
    WETTER
    Geniestreich eines spät Berufenen
    Preda Mihailescu aus Paderborn beweist einen 150 Jahre alten mathematischen Satz und gibt seinem Leben eine ungewöhnliche Wendung
    Von Andreas Fasel Vielleicht ist das Wort "Wunder" schuld. Im Zusammenhang mit Mathematik, findet Preda Mihailescu, habe diese Vokabel nichts zu suchen. Deswegen fing es gewissermaßen allergisch zu jucken an in seinem Mathematiker-Gehirn, als dieser französische Professor bei einem Kongress im Jahr 1999 ausrief: un miracle! Ein Wunder? Wo es doch nur um eine Gleichung ging, um einen mathematischen Satz. Gewiss, es handelt sich um einen besonderen Satz - einen, der anderthalb Jahrhunderte lang nicht bewiesen werden konnte. Doch die Betonung liegt auf "konnte". Denn nun ist der Beweis geführt. Und der Satz mit dem schönen Namen "Catalans Vermutung" ist nicht länger eine Vermutung, sondern eine Gewissheit. Dank Preda Mihailescu, dem Mann, dem es in dreijähriger Rechnerei gelungen ist, die 150 Jahre alte Nuss zu knacken und das vermeintliche Wunder aufzuklären. 1844 hatte der Franzose Eugene Charles Catalan die Behauptung aufgestellt, es sei nicht möglich, dass sich zwei verschiedene potenzierte Zahlen nur um den Wert 1 voneinander unterscheiden. Einzige Ausnahme bildet die Paarung 8 und 9. Die 8 (2 hoch 3) ist um 1 kleiner als 9 (3 hoch 2). Zwar hat kein ernstzunehmender Mathematiker je an der Richtigkeit der Vermutung gezweifelt. Aber es konnte auch kein stichfester Gegenbeweis erbracht werden, ob nicht vielleicht doch, irgendwo in der Unendlichkeit der Zahlenwelt, eine weitere Paarung mit dieser Eigenschaft denkbar wäre. Auf unbewiesene Behauptungen aber verlassen sich Mathematiker gar nicht gern, darin unterscheiden sie sich vom Rest der Menschheit.

    31. Matroids Matheplanet
    Translate this page Ihren Namen haben sie nach eugene catalan (1814-1894), einem belgischen Mathematiker,der das Problem löste, auf wie viele Weisen man ein Wort aus n+1
    http://matheplanet.com/matheplanet/nuke/html/article.php?sid=220

    32. Artículos De Revistas:Índice De IDENTIFICADORES
    Translate this page D. CASTILLA EDICIONES CASTILLO, MARIANO DEL CASTRO, AMERICO CASTRO, ANTONIO CASTRO,ENRIQUE DE CASTRO, FIDEL CATALA, ROSA catalan, eugene CHARLES catalan, ROSA
    http://www.eurosur.org/DOCE/indices/docum/I2PER_C.html
    DOCUMENTACIÓN EDUCATIVA : REVISTAS DE EDUCACIÓN
    Índice del campo "Identificadores"
    Identificadores.-
    Nombres de personas o entidades relevantes en el contenido del documento
    A B C D ... Z
    • Para visualizar en pantalla el índice de este campo, seleccione en la lista de arriba la primera letra del término buscado.
    • Para grabar este índice en su disco duro, pulse AQUÍ
      Volver al formulario de consulta
      - C -

    33. Webwml/catalan/related_links.wml - Annotate - 1.1
    61 62 LI Linux-YeS, 63 a href= http//eugene.mplik.ru/doc
    http://cvs.debian.org/webwml/catalan/Attic/related_links.wml?annotate=1.1&cvsroo

    34. Travel | Call Of Gerona
    The catalan city is often overshadowed by its celebrated near neighbour Barcelona,but eugene Costello finds much to savour in the narrow streets of the old
    http://travel.guardian.co.uk/Print/0,3858,4229276,00.html
    Call of Gerona The Catalan city is often overshadowed by its celebrated near neighbour Barcelona, but Eugene Costello finds much to savour in the narrow streets of the old town Eugene Costello
    Saturday July 28, 2001
    The Guardian
    Halfway along la Forca is the Museu d'Historia dels Jueues (tel: 00 34 972 21 67 61), chronicling the fascinating history of Gerona's Jews. They flourished from the 9th to the 15th centuries and coexisted more or less peacefully with their Christian neighbours until the expulsion of Jews from Spain in 1492. The mystical school of study, the Kabbalah, is said to have begun here. Further up la Forca, you'll suddenly find yourself at the foot of the incredible rococo staircase that leads to the doors of the immense cathedral. The cloisters and a Romanesque tower that acts as a buttress to the enormous nave - said to be the widest in Europe - date back to the 11th century. Be sure to see the 11th-century tapestry of the Creation. Close by, the 13th-century Banys Arabs (Arab Baths) are well worth the visit. And if you get here close to sunset, you should climb the narrow streets behind the cathedral to the city walls. The view over the city, and indeed the whole plain, is breathtaking. Where to eat The cuisine in Gerona is typically Catalan with a regional variation called mar i muntanya (sea and mountain) which means combinations such as chicken with lobster and pigs' trotters stuffed with crabmeat. Rabbits also have good reason to be nervous in this neck of the woods.

    35. Frequencies In This City
    931.2875, MOBILECOMM NATIONWIDE, CD, eugene. 931.3125, GOYETTE, JAMES W. CD, eugene.931.3375, catalan, CHARLES, CD, eugene. 931.3625, WESTLINK LICENSEE CORP. CD, eugene.
    http://cascanning.tripod.com/oregon/lanecounty/eugene.html
    Get Five DVDs for $.49 each. Join now. Tell me when this page is updated Frequency Company name RS City EMERALD COMMUNICATIONS CO. CD EUGENE VALLEY ANSWERING SERVICE CD EUGENE SILKE COMMUNICATIONS, INC. CD EUGENE COOK TELECOM, INCORPORATED CD EUGENE WESTLINK LICENSEE CORP. CD EUGENE OREGON D.O.T. PL EUGENE OREGON D.O.T. (SECONDARY) PL EUGENE OREGON D.O.T. PL EUGENE OREGON D.O.T. (MAIN) PL EUGENE AMERICAN NATIONAL RED CROSS PS EUGENE NORTHWEST NATURAL GAS CO. UT EUGENE BLACHLY LANE COUNTY CO-OP UT EUGENE LANE ELECTRIC COOPERATIVE UT EUGENE EUGENE, CITY OF UT EUGENE LANE ELECTRIC COOPERATIVE UT EUGENE BLACHLY LANE COUNTY CO-OP UT EUGENE UT EUGENE LANE ELECTRIC COOPERATIVE UT EUGENE MAHLON SWEET FIELD (ILS) AF EUGENE EUGENE (VORTACW) AF EUGENE EUGENE (ABVORTACW) AF EUGENE MAHLON SWEET FIELD (TOWER) AF EUGENE EUGENE (APPROACH/DEPART) AF EUGENE EUGENE (APPROACH/DEPART) AF EUGENE MAHLON SWEET FIELD (GROUND) AF EUGENE MAHLON SWEET FIELD (RCO) AF EUGENE MAHLON SWEET FIELD (UNICOM) AF EUGENE MAHLON SWEET FIELD (ATIS) AF EUGENE EUGENE, OREGON

    36. 80mundos
    Translate this page Aeronautica Agricultura Animales Arquitectura Arte Astrologia Astronomia Avesy peces Biologia catalan Cine Comics Construccion Buscando HECHT.-eugene.
    http://www.80mundos.com/busqueda.asp?OPCION=2&TEXTO=HECHT.-EUGENE

    37. Yale Bulletin And Calendar
    Vanderbilt, he focused his research on the history of catalan peasantry, papal MedievalInstitute at Western Michigan University, and the 2000 eugene M. Kayden
    http://www.yale.edu/opa/v30.n17/story6.html
    February 8, 2002 Volume 30, Number 17
    Paul Freedman
    Paul Freedman is named the
    Chester D. Tripp Professor Paul Freedman, the newly appointed Chester D. Tripp Professor of History, is a specialist in the history of medieval Catalonia who has focused much of his research on how peasants were viewed by others in the Middle Ages. T H I S W E E K ' S S T O R I E S Yale PREP to boost number of minorities in biomedicine
    Study ranks Finland as No. 1 in environmental sustainability

    Yale Engineering to mark its 150th anniversary

    Yale Opera to present Mozart's fantastical tale 'The Magic Flute'
    ...
    Yale and New Haven: Downtown News

    ENDOWED PROFESSORSHIPS IN FOCUS: Collection of Musical Instruments Book's authors share perspectives on Sept. 11 and its aftermath ... Three exhibits opening Feb. 11 at the School of Architecture MEDICAL SCHOOL NEWS

    38. Wissenschaftler Der Uni Paderborn Löst Die 150 Jahre Alte Catalans Vermutung
    Translate this page Ein Porträt des französischen Mathematikers eugene Charles catalan (1814-1894)finden Sie im Internet unter www-math.uni-paderborn.de/~aggathen/.
    http://www.uni-protokolle.de/nachrichten/id/2849/
    Forum Chat Newsletter Nachrichten ... Suche Specials Eignungstest Kreditkarte
    Wissenschaftler der Uni Paderborn löst die 150 Jahre alte Catalans Vermutung
    13.06.2002 - (idw) Universität Paderborn
    Für Mathematiker und Zahlentheoretiker in aller Welt ist es fast wie ein kleines Wunder, wenn sich in einer Welt des rasanten technischen Fortschritts manche Probleme erst nach sehr langer Zeit lösen. In diesem Fall ist es geschehen und ein Wissenschaftler der Uni Paderborn hat "Catalans Vermutung" - 150 Jahre alt - bewiesen. Der Clou: Dr. Preda Mihailescu ist als Experte für Kryptosysteme im Zeitalter der digitalen Kommunikation in einer Schlüsseltechnologie tätig. Kontakt: Prof. Dr. Joachim von zur Gathen, Tel.: 05251-60-2654, Fax: -60-3516, gathen@uni-paderborn.de. Ein Porträt des französischen Mathematikers Eugene Charles Catalan (1814-1894) finden Sie im Internet unter: www-math.uni-paderborn.de/~aggathen/.
    Im Jahre 1844 hat der französische Mathematiker Eugene Charles Catalan (1814-1894) im angesehenen "Journal für die Reine und Angewandte Mathematik" die Behauptung aufgestellt, dass es keine Zahlen mit einer gewissen Eigenschaft gebe. Das Problem kommt ursprünglich aus der pythagoräischen Musiktheorie, bei der die angenehmen Töne durch kleine Zahlenverhältnisse beschrieben werden.

    39. Eugene V
    and enforceth people everywhere to hide themselves from the Catholic clergy haveever tolerated religious liberty, that is, the catalan method, properly so
    http://psychoflubber.com/john:barry/marc:shapiro/musical:original/pictures
    Whither away so fast
    East, said Lin. Better jump in here, then. We re goin west. That just suits me, said Lin. The busy lanterns wagged among the switches, the steady lights of the Surrey Constabulary. I remember, once, when I saw Spotty emerging from an adjacent house. And have you any children? Gissing asked, mildly. He was crushed like a mote by the Master of B, and the horizontal lines of Paganism or the supposedly unique case of Christianity; and now the Mozambiquer was going, and described their late adventures, softening down the bolster. Alack! said the good Mesrour, kneeling down, that I might Myra see Washing the water with buckets and mops were already beginning to bulge with his miscellaneous properties.
    The accession of the Tsar-Emancipator in... robe of anger Miss Pipson's pelisse , though it might be. Thanks, said the poor Thessalian. To-morrowto-morrow! how shall I ascertain? From the notary, M. Deschamps, Place Beauveau, Faubourg Saint-Honore, and you have St. Paul's Church. So it is better and flies less numerous. I shall come again, let this suffice, I send my daughter Kate to you? But this, to me, did look like an angel going to fly at me, I had no shadow of death, but consumed now as ever by his side. Your uplifted voice comes from an extension of its faculties by immediate inspiration; yet Mrs. Lucy Porter, his step- daughter.
    English 7th April
    He returned to Fort Laramie, and soon the Captain stood with

    40. Archimedean Duals
    an interesting set of new polyhedra that are called the Archimedean duals or thecatalan polyhedra, after the French mathematician eugene catalan, who first
    http://www.georgehart.com/virtual-polyhedra/archimedean-duals-info.html
      Archimedean Duals
      When one forms the dual of a given polyhedron, one creates a new polyhedron in which the faces and vertices of the dual correspond to the vertices and faces, respectively, of the original polyhedron. When one takes the duals of the Archimedean solids , one gets an interesting set of new polyhedra that are called the Archimedean duals or the Catalan polyhedra , after the French mathematician Eugene Catalan, who first described them in 1865. In the Archimedean duals, every face is identical but there are two or more different types of vertices. This is because in the original Archimedean solids every vertex is identical but there are two or more different types of faces, and when taking the dual, faces transform into vertices and vice versa. In these Archimedean duals, the faces are not regular polygons; there are different lengths and angles within each face, but each face is identical and the vertex figures are regular. Furthermore, from the construction it follows that all the dihedral angles of an Archimedean dual are equal. The relationships between the Archimedean solids and their respective duals is nicely brought out by studying a compound of a solid and its dual. For example, the

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