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         Koch Helge Von:     more detail
  1. Instruments and Measurements: Chemical Analysis, Electric Quantities, Nucleonics and Process Control: v. 2 by Helge Von Koch, Gregory Ljungberg, 1961-12
  2. Mathématicien Suédois: Ivar Fredholm, Albert Victor Bäcklund, Waloddi Weibull, Gösta Mittag-Leffler, Helge Von Koch, Johan Håstad (French Edition)
  3. Instruments and Measurements: Chemical Analysis, Electric Quantities, Nucleonics and Process Control, Vol. 2 (Proceedings Fifth International Instruments & Measurements Conference, Sep 1960, Stockholm, Sweden) by Helge; Ljungberg, Gregory; Reio, Vera (editors) von Koch, 1961-01-01
  4. Föreläsningar Öfver Teorin För Transformationsgrupper (Swedish Edition) by Helge Von Koch, 2010-01-09
  5. Instruments and Measurements: Chemical Analysis, Electric Quantities, Nucleonics and Process Control, Vol. 1 (Proceedings Fifth International Instruments & Measurements Conference, Sep 1960, Stockholm, Sweden) by Helge; Ljungberg, Gregory; Reio, Vera (editors) von Koch, 1961-01-01
  6. Instruments & Measurements 2vol by Helge Von Koch, 1961

1. Poster Of Koch
Helge von Koch. lived from 1870 to 1924. Koch is best known for thefractal Koch curve. Find out more at http//wwwhistory.mcs.st
http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Koch.html
Helge von Koch lived from 1870 to 1924 Koch is best known for the fractal Koch curve. Find out more at
http://www-history.mcs.st-andrews.ac.uk/history/
Mathematicians/Koch.html

2. Helge Von Koch - Wikipedia, The Free Encyclopedia
Helge von Koch. 1 A biography page of Niels Fabian Helge von Koch from theMacTutor History of Mathematics archive at the University of St Andrews.
http://en.wikipedia.org/wiki/Helge_von_Koch
Helge von Koch
From Wikipedia, the free encyclopedia.
Niels Fabian Helge von Koch January 25 March 11 ) was a Swedish mathematician , who gave his name to the famous fractal known as the Koch curve , which was one of the earliest fractal curves to have been described. He was born into a family of Swedish nobility . His grandfather, Nils Samuel von Koch (1801-1881), was the Attorney-General (" Justitiekansler ") of Sweden . His father, Richert Vogt von Koch (1838-1913) was a Lieutenant-Colonel in the Royal Horse Guards of Sweden. von Koch wrote several papers on number theory . One of his results was a theorem proving that the Riemann hypothesis is equivalent to a strengthened form of the prime number theorem He described the Koch curve in a paper entitled "Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes plane" [1]. edit
Reference
edit
External link

3. HELGE VON KOCH
Helge von Koch captured the idea of an infinite length surroundinga finite area with his socalled Koch curve. This is created
http://www.bath.ac.uk/~ma1ejm/koch.html
Helge von Koch captured the idea of an infinite length surrounding a finite area with his so-called Koch curve . This is created by beginning with an equilateral triangle and adding another equilateral triangle to the middle third of each side. This bifurcation rule can be applied infinitely many times in principle, and the result is as shown: A magnification of the Koch curve will look exactly the same as the original and this property is known as self-similiarity The Koch curve can be classified as fractal because it cannot be visualised in integer dimensions: it is 'rougher' than a smooth curve or line (which has 1 dimension) so is better at 'taking up space', but is not as good at filling up space as a square (which has 2 dimensions) since it doesn't really have any area. The Koch curve is said to have a fractal dimension of around 1.2618. However, fractals are not just an abstract construction - they are also found in real-world systems such as blood vessels, the internal structure of the lungs, graphs of stock market data, and so on. Nowadays, using computer programming, mathematicians can produce very realistic images of extremely complicated structures. Patterns in nature from bacteria and fern growth, to clouds and mountains can now be created by using simple formulas which are very close to repeating themselves but never actually do. MITCHELL FEIGENBAUM
BACK TO CHAOS THEORY

EDWARD LORENZ

BENOIT MANDELBROT

4. Helge Von Koch - Susning.nu
Helge von Koch, matematiker, Niels Fabian Helge von Koch som var hans fullständiganamn föddes i Stockholm den 25 januari år 1870 och avled i Danderyd den
http://susning.nu/Helge_von_Koch
Helge von Koch
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Helge von Koch
matematiker , Niels Fabian Helge von Koch som var hans fullständiga namn föddes i Stockholm den 25 januari år 1870 och avled i Danderyd den 11 mars år 1924
[Bild]
von Koch är mest känd för att ha skapat den fraktala kurvan von Kochs kurva samt en ännu mera berömd variant av den von Kochs snöflinga Se även: Hitta mer information om samma ämne på webben På svenska ( Helge von Koch ) sök i A D G W ... SAOB A = Alltheweb , D = Dmoz , G = Google , W = Wikipedia , Y = Yahoo , NE = Nationalencyklopedin , SAOB = Svenska Akademiens ordbok Sätt betyg på den här artikeln: Startsida Senaste nytt Länkspegel Inställningar Sök:
Visa andra versioner
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Senast ändrad 13 maj 2004 (skillnad)

5. Helge Von Koch
Helge von Koch. Externí spojení. 1 Strana biografie Nielse Fabiana Helgevon Koch od MacTutor historie matematiky archiv u Univerzita St Andrews.
http://wikipedia.infostar.cz/h/he/helge_von_koch.html
švodn­ str¡nka Tato str¡nka v origin¡le
Helge von Koch
Niels Fabian Helge von Koch Leden 25 Březen 11 ) byl Å v©dÅ¡tina matematik , kdo dal jeho jm©no k slavn½ frakt¡l zn¡m½ jak Koch křivka , kter½ byl jeden nejdř­ve frakt¡l zat¡Ä­ do byli popisov¡ni. On se narodil do rodiny Å lechta Å¡v©dÅ¡tiny . Jeho dědeček, Nils Samuel von Koch (1801-1881), byl pr¡vn­k-gener¡l (" Justitiekansler ") Å v©dsko . Jeho otec, Richert Vogt von Koch (1838-1913) byl nadporuč­k-plukovn­k v Royal koňsk½ch str¡Å¾­ch Å v©dska. von Koch si zapisoval několik doklady na teorie č­sel . Jeden z jeho v½sledků byl teor©m zkuÅ¡ebn­ to Riemann hypot©za je ekvivalentn­ k zes­len© formě teor©m prvoč­sla On popsal Koch křivka v pap­r pojmenoval " Une m � thode g � om � trique � l � mentaire t©ct l ' � tude de certaines ot¡zky de la th � orie des courbes letadlo " [1].
Odkaz
  • Plantagenet svitek krve kr¡lovsk½ (Mortimer-Percy hlasitost) mark½zem Ruvigny a Raineval (1911), strany 250 - 251
Extern­ spojen­

Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia poř­zen½ překladačem Eurotran . Cel½ text je dostupn½ za podm­nek GNU FDL licence

6. Einige Der Bedeutenden Mathematiker
Translate this page Kepler Johannes, 1571-1630. Klein Christian Felix, 1849-1925. koch helge von, 1870-1924.Kolmogorow Andrei Nikolajewitsch, 1903-1987. Kovalevskaya Sophia, 1850-1891.
http://www.zahlenjagd.at/mathematiker.html
Einige der bedeutenden Mathematiker
Abel Niels Hendrik Appolonius von Perga ~230 v.Chr. Archimedes von Syrakus 287-212 v.Chr. Babbage Charles Banach Stefan Bayes Thomas Bernoulli Daniel Bernoulli Jakob Bernoulli Johann Bernoulli Nicolaus Bessel Friedrich Wilhelm Bieberbach Ludwig Birkhoff Georg David Bolyai János Bolzano Bernhard Boole George Borel Emile Briggs Henry Brouwer L.E.J. Cantor Georg Ferdinand Carroll Lewis Cassini Giovanni Domenico Cardano Girolamo Cauchy Augustin Louis Cayley Arthur Ceulen, Ludolph van Chomsky Noel Chwarismi Muhammed Ibn Musa Al Church Alonzo Cohen Paul Joseph Conway John Horton Courant Richard D'Alembert Jean Le Rond De Morgan Augustus Dedekind Julius Wilhelm Richard Descartes René Dieudonné Jean Diophantos von Alexandria ~250 v. Chr. Dirac Paul Adrien Maurice Dirichlet Peter Gustav Lejeune Eratosthenes von Kyrene 276-194 v.Chr. Euklid von Alexandria ~300 v.Chr. Euler Leonhard Fatou Pierre Fermat Pierre de Fischer Ronald A Sir Fourier Jean-Baptiste-Joseph Fraenkel Adolf Frege Gottlob Frobenius Ferdinand Georg Galois Evariste Galton Francis Sir Gauß Carl Friedrich Germain Marie-Sophie Gödel Kurt Goldbach Christian Hadamard Jacques Hamilton William Rowan Hausdorff Felix Hermite Charles Heawood Percy Heron von Alexandrien ~60 n.Chr.

7. Helge Von Koch
Helge von Koch. 1 A biography page of Niels Fabian Helge von Koch from theMacTutor History of Mathematics archive at the University of St Andrews.
http://www.sciencedaily.com/encyclopedia/helge_von_koch
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Helge von Koch
Niels Fabian Helge von Koch January 25 March 11 ) was a Swedish mathematician , who gave his name to the famous fractal known as the Koch curve , which was one of the earliest fractal curves to have been described. He was born into a family of Swedish nobility . His grandfather, Nils Samuel von Koch (1801-1881), was the Attorney-General ("Justitiekansler") of Sweden . His father, Richert Vogt von Koch (1838-1913) was a Lieutenant-Colonel in the Royal Horse Guards of Sweden. von Koch wrote several papers on number theory . One of his results was a theorem proving that the Riemann hypothesis is equivalent to a strengthened form of the prime number theorem . He described the Koch curve in a paper entitled "Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes plane" [1].

8. Koch-Kurve, Lindenmayer / Fraktale / Panoptikum / Peter Schenk
Translate this page Top / Navigation Bild zum Thema Top / Navigation koch helge von Koch war ein schwedischerMathematiker, der 1904 der die nach ihm benannte Kurve erfunden hat.
http://peter.schenk.com/panopt/fraktale/koch.htm
Koch-Kurve
Allgemein
Die Kochkurve mit der Dimension D= log 4 / log 3 ~ 1,26 ist ein weiteres Fraktal. Konstruiert wurde das unten ersichtliche Bild (Winkel = 60 °, 4 Iterationsschritte; Ausschnitt einer Schneeflocke) durch eine rekursive Gleichung in einem Lindenmayer -System oder eben L-System.
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Bild zum Thema

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Koch
Helge von Koch war ein schwedischer Mathematiker, der 1904 der die nach ihm benannte Kurve erfunden hat.
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Lindenmayer
Der Biologe Aristid Lindenmayer (1925-1989) führte aufgrund seiner Untersuchungen zum Pflanzenwachstum ein Rückkopplungsprinzip ein, das unter dem Namen L-System in die Fraktalgeometrie Einzug gehalten hat. Lindenmayer entwickelte die Theorie zu diesem L-System 1968 aufgrund seiner Erkenntnisse bezüglich der kontextfreien Chromsky-Grammatiken. Eine Definitionsgleichung besteht aus einer Folge von Zeichen der Menge:
F, +, - und weiteren mit folgender Bedeutung:
F = Forward respektive vorwärts, + = Drehen um einen fixen Winkel nach oben, - = Drehen um einen fixen Winkel nach unten.
Diese Syntax wurde in den 80er Jahren durch Papert in der bekannten Turtle-Graphik (Programmiersprache LOGO) interpretiert.

9. Koch
Niels Fabian helge von koch. helge von koch s father was Richert Vogt von koch,who had a military career, and his mother was Agathe Henriette Wrede.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Koch.html
Niels Fabian Helge von Koch
Born: 25 Jan 1870 in Stockholm, Sweden
Died: 11 March 1924 in Danderyd, Stockholm, Sweden
Click the picture above
to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Helge von Koch 's father was Richert Vogt von Koch, who had a military career, and his mother was Agathe Henriette Wrede. Von Koch attended a good school in Stockholm, completing his studies there in 1887. He then entered Stockholm University. Stockholm University was the third university in Sweden and it was planned from 1865, opening in 1880 with Mittag-Leffler Von Koch spent some time at Uppsala University from 1888. He was a student of Mittag-Leffler at Stockholm University. Von Koch's first results were on infinitely many linear equations in infinitely many unknowns. In 1891 he wrote the first of two papers on applications of infinite determinants to solving systems of differential equations with analytic coefficients. The methods he used were based on those published by about six years earlier. The second of von Koch's papers was published in 1892, the year in which von Koch was awarded a doctorate for his thesis which contained the results of the two papers. Von Koch was awarded a doctorate in mathematics by Stockholm University on 26 May 1892. Garding writes in [2] that his doctoral thesis was:-

10. Koch Curve - Wikipedia, The Free Encyclopedia
géométrique élémentaire pour l étude de certaines questions de la théorie descourbes plane by the Swedish mathematician helge von koch 1. The better
http://en.wikipedia.org/wiki/Koch_snowflake
Koch curve
From Wikipedia, the free encyclopedia.
(Redirected from Koch snowflake The Koch curve is a mathematical curve , and one of the earliest fractal curves to have been described. It appeared in a paper entitled "Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes plane" by the Swedish mathematician Helge von Koch [1]. The better known Koch snowflake (or Koch star ) is the same as the curve, except it starts with an equilateral triangle (instead of a line segment Eric Haines has developed the sphereflake fractal , a three- dimensional version of the snowflake One can imagine that it was created by starting with a line segment, then recursively altering each line segment as follows:
  • divide the line segment into three segments of equal length. draw an equilateral triangle that has the middle segment from step one as its base. remove the line segment that is the base of the triangle from step 2.
  • After doing this once the result should be a shape similar to a cross section of a witch's hat. The Koch curve is the limit approached as the above steps are followed over and over again.

    11. Senaste Nytt - Susning.nu
    . . . Solkoll; (skillnad) Agnetha Fältskog 056 . . . . . LarsAronsson; (skillnad) helge von koch 055 Ny . . . . Solkoll;
    http://susning.nu/Senaste_nytt
    Senaste nytt
    Startsida Senaste nytt Länkspegel ... Inställningar Sök:

    12. Biografia Di Niels Fabian Helge Von Koch - Caos E Oggetti Frattali - Eliana Arge
    Translate this page Niels Fabian helge von koch. Nato 25 Gennaio 1870 a Stoccolma, SveziaMorto 11 Marzo 1924 a Danderyd, Stoccolma, Svezia Figlio
    http://www.webfract.it/FRATTALI/Koch.htm
    Niels Fabian Helge von Koch
    Nato: 25 Gennaio 1870 a Stoccolma, Svezia
    Morto: 11 Marzo 1924 a Danderyd, Stoccolma, Svezia

    Von Koch , pubblicato nel 1906.
    Precedente
    Successivo
  • Si divide un segmento in tre parti uguali.
  • Si sostituisce il segmento centrale con altri due segmenti in modo da formare un triangolo equilatero privo della base.
  • Si ripete il procedimento indefinitamente.
    Si ottiene una curva di tipo frattale che ha le seguenti caratteristiche : perimetro infinito, area finita, autosimilitudine, dimensione frazionaria. Si tratta inoltre di una curva continua che non ammette tangente in nessun punto.
    Se si parte da un triangolo equilatero e si applica questo procedimento si ottiene il " fiocco di neve " di von Koch.
    E' anche possibile vedere lo sviluppo del frattale quadratico di Koch con la tecnica L-system Nell' Area Download è possibile scaricare il programma che disegna il fiocco di neve scegliendo il numero di iterazioni. Indice Home Scrivi www.webfract.it di Eliana Argenti e Tommaso Bientinesi
  • 13. De Kromme Van Helge Von Koch (1904)
    De Kromme van helge von koch (1904). Een lijnstuk wordt in drie gelijkestukken verdeeld. Het middelste stuk wordt weggelaten en
    http://home.planet.nl/~philip.van.egmond/wiskunde/koch1-n.htm
    De Kromme van Helge von Koch (1904)
    Een lijnstuk wordt in drie gelijke stukken verdeeld.
    Het middelste stuk wordt weggelaten en er worden twee even grote lijnstukken toegevoegd.
    Zo ontstaat de tekening hieronder.
    In het midden is een gelijkzijdige driehoek ontstaan, waarvan de basis ontbreekt.
    Dan krijg je de tekening, hieronder.
    Na nog een keer hetzelfde principe toepassen, krijg je:
    Ik heb dat 100 keer gedaan en dan krijg je het volgende plaatje:
    Veronderstel dat de lengte van het eerste lijnstuk 1 dm (=10 cm)is. Dan wordt de lengte van elk van de lijnstukken in de tweede tekening 1/3 dm.
    De totale lengte van die 4 lijnstukken 4*1/3= 4/3 dm. In de derde tekening zijn er al 16 lijnstukken getekend. Elke keer wordt zo'n lijnstukje 3 keer zo klein, maar je krijgt wel 4 keer zoveel lijnstukken. De totale lengte wordt dus elke keer 4/3 keer zo groot.
    De totale lengte van de 16 lijnstukken is dus (4/3) ~ 1,78 dm.

    14. Helge Von Koch
    Lite fakta om helge von koch. helge von koch var en svensk matematikersom levde år 18701924. Vid koch. Se hur helge von koch såg ut.
    http://fy.chalmers.se/tp/F1projekt/1999/FractPict/koch.html
    Lite fakta om Helge von Koch.
    Helge von Koch var en svensk matematiker som levde år 1870-1924.
    Vid den ringa åldern av 22 år disputerade von Koch år 1892. Drygt 10 år senare blev han professor vid Kungliga Tekniska Högskolan i Stockholm. Där arbetade han som professor år 1905 till år 1911, då han istället blev professor vid Stockholms högskola.
    Helge von Koch har givit namn åt den så kallade von Kochs kurva, samt von Kochs snöflinga.
    Även Helges syskon är väl kända. Helge är bror till Sigurd och Gerard Halfred (G.H.) von Koch. Se hur Helge von Koch såg ut.

    15. TPE Fractales : Biographie De Von Koch
    Translate this page Waclaw Sierpinski. helge von koch. Michael Barnsley. E-mail. Biographie de von koch.Niels Fabian helge von koch est né le 25 janvier 1870 à Stockholm en Suède.
    http://irchat.free.fr/tpefractales/vkbio.php
    @import url("style.css"); BOURDEAUDUCQ Sébastien / RIQUET Jean Charles TPE Fractales Vous êtes ici : Version imprimable Sommaire Page d'accueil et introduction I - Présentation Définition d'une fractale Le flocon de Von Koch Le triangle de Sierpinski L'ensemble de Mandelbrot Autres fractales basées sur les complexes La dimension fractale II - Les fractales dans la nature 1. Etude d'objets fractals naturels La côte de Bretagne Chez les végétaux : Le chou-fleur Le chou romanesco Les fougères Dans le corps humain : L'intestin grêle Les poumons Le réseau coronarien 2. La modélisation des fractales naturelles Les L-systèmes IFS Conclusion Divers Biographies des personnes célèbres ayant étudié les fractales Benoît Mandelbrot Gastion Julia Waclaw Sierpinski Helge Von Koch Michael Barnsley Annexes Bibliographie Le TPE Nous contacter Livre d'or E-mail Biographie de Von Koch Niels Fabian Helge Von Koch est né le 25 janvier 1870 à Stockholm en Suède. Il est célèbre par la courbe qui porte son nom , dont l'étude a été publiée en 1904. Il est mort le 11 mars 1924 à Stockholm en Suède, sa ville natale.

    16. Helge Von Koch - Encyclopedia Article About Helge Von Koch. Free Access, No Regi
    von koch curve encyclopedia article about von koch curve. Free géométrique élémentaire pour l étude de certaines questions de la théoriedes courbes plane by the Swedish mathematician helge von koch Niels Fabian
    http://encyclopedia.thefreedictionary.com/Helge von Koch
    Dictionaries: General Computing Medical Legal Encyclopedia
    Helge von Koch
    Word: Word Starts with Ends with Definition Niels Fabian Helge von Koch January 25 January 25 is the 25th day of the year in the Gregorian Calendar. There are 340 days remaining (341 in leap years).
    Events
    • 1327 - Edward III becomes King of England.
    • 1494 - Alfonso II becomes King of Naples.
    • 1533 - Henry VIII of England marries his second wife Anne Boleyn.
    • 1554 - Foundation of São Paulo city, Brazil.
    • 1791 - The British Parliament splits the old province of Quebec into Upper and Lower Canada.

    Click the link for more information. Centuries: 18th century - 19th century - 20th century Decades: 1820s 1830s 1840s 1850s 1860s - Years: 1865 1866 1867 1868 1869 -
    Events
    • Franco-Prussian War
    • January 6 - The inauguration of the Musikverein (Vienna).
    • January 10 - John D. Rockefeller incorporates Standard Oil

    Click the link for more information. March 11 March 11 is the 70th day of the year in the Gregorian Calendar (71st in Leap years). There are 295 days remaining.
    Events
    • 1513 - Leo X is elected pope.

    17. Efg's Fractals And Chaos -- Von Koch Curve Lab Report
    Neils Fabian helge von koch s Snowflake . ScreenvonkochSnowflake.JPG (37028 bytes), Swedishmathematician helge von koch introduced the koch curve in 1904.
    http://www.efg2.com/Lab/FractalsAndChaos/vonKochCurve.htm
    Fractals and Chaos von Koch Curve Lab Report Neils Fabian Helge von Koch's "Snowflake" Purpose
    The purpose of this project is to show how to create a von Koch curve, including a von Koch snowflake. Mathematical Background Swedish mathematician Helge von Koch introduced the "Koch curve" in 1904. Starting with a line segment, recursively replace the line segment as shown below: The single line segment in Step 0, is broken into four equal-length segments in Step 1. This same "rule" is applied an infinite number of times resulting in a figure with an infinite perimeter. Here are the next few steps: If the original line segment had length L, then after the first step each line segment has a length L/3. For the second step, each segment has a length L/3 , and so on. After the first step, the total length is 4L/3. After the second step, the total length is 4 L/3 , and after the k th step, the length is 4 k L/3 k . After each step the length of the curve grows by a factor of 4/3. When repeated an infinite number of times, the perimeter becomes infinite. For a more detailed explanation of the length computation, see [ , p. 107] or

    18. Die Fraktale Koch-Kurve Als Java-Applet
    Translate this page Die koch-Kurve (auch Schneeflockenkurve oder kochsche Insel). Nach helge von koch,schwed. Mathematiker, 1870-1924. Niels Fabian helge von koch. (helge von koch).
    http://www.jjam.de/Java/Applets/Fraktale/Koch_Kurve.html
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    Mathematik: Funktionsplotter Eratosthenes-Sieb Miller-Rabin-Test Verschiedenes: Morsezeichen-Ticker Analoguhr Scripts Kontakt - Applets : Fraktale : Koch-Kurve - Die fraktale Koch-Kurve als Java-Applet. Mehr Zacken mit linkem Mausklick - Weniger mit rechtem Mausklick. [Die fraktale Koch-Kurve als Java-Applet mit Quellcode zum Download. Das Applet der Koch-Kurve lässt sich allerdings nur mit aktiviertem Java betrachten !] Die Koch-Kurve (auch Schneeflockenkurve oder kochsche Insel). Nach Helge von Koch, schwed. Mathematiker, 1870-1924 KochKurve.java (Helge von Koch) Download Koch_Kurve.zip (Applet und Code ca. 2 kb) Impressum Datenschutz Nutzung eMail

    19. Lexikon - Koch-Kurve Definition Erklärung Bedeutung
    Translate this page Artikel auf Englisch koch curve. Die koch-Kurve ist eine vom schwedischenMathematiker helge von koch erstmals 1904 vorgestellte Kurve.
    http://www.net-lexikon.de/Koch-Kurve.html
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    Koch-Kurve
    Definition, Bedeutung, Erkl¤rung im Lexikon
    Artikel auf Englisch: Koch curve
    Die Koch-Kurve ist eine vom schwedischen Mathematik er Helge von Koch erstmals vorgestellte Kurve . Es handelt sich bei ihr um eines der ersten formal beschriebenen fraktalen Objekte. Die Koch-Kurve ist auch als Kochsche Schneeflocke bekannt; letztere entsteht aus geeigneter Kombination dreier Koch-Kurven. Inhaltsverzeichnis
    1 Konstruktion
    2 Eigenschaften

    3 Erstver¶ffentlichungen
    4 Weblinks
    Konstruktion
    Man kann die Kurve anschaulich mittels eines iterativen Prozesses konstruieren. Zu Anfang ist ein Linienst¼ck der L¤nge "1" gegeben. Die Iteration besteht nun darin, dass alle Linienst¼cke der Kurve
  • in drei gleichlange St¼cke unterteilt werden, auf dem jeweils mittleren St¼ck ein gleichseitiges Dreieck errichtet wird, und die Basis dieses Dreiecks (also das urspr¼ngiche Drittelst¼ck) entfernt wird.
  • Diese Iteration wird nun unendlich oft wiederholt. Als Endergebnis entsteht die Koch-Kurve.

    20. Helge Von Koch
    Födelseland Sverige Födelseår 1870 Död år 1924. helge von kochföddes i Sverige år 1870. Var helge von koch dog år 1924. Tillbaka
    http://www.kosmologika.net/Scientists/Koch.html
    Födelseland: Sverige Födelseår: 1870 Död år: 1924 Helge von Koch föddes i Sverige år 1870. Var student till Gösta Mittag-Leffler (1846-1927) och disputerade redan vid 22 års ålder med en avhandling som kombinerade teorin för differentialekvationer med analytiska koefficienter med teorin för oändliga determinanter. Han är känd främst för Kochkurvan inom fraktalteorin. Han blev professor vid KTH år 1905 och efterträdde Gösta Mittag-Leffler som professor vid Stockholms högskola år 1911 men var sjuk ofta vilket ledde till att Marcel Riesz övertog hans tjänst. Helge von Koch dog år 1924.

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