Pascal’s Triangle : Cellular Automata and Attractors

Peitgen, Heinz-Otto; Jürgens, Hartmut; Saupe, Dietmar

Pascal’s Triangle : Cellular Automata and Attractors

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2004

Autor:innen

Peitgen, Heinz-Otto

Jürgens, Hartmut

Saupe, Dietmar

DOI (zitierfähiger Link)

https://doi.org/10.1007/0-387-21823-8_9

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Beitrag zu einem Sammelband

Publikationsstatus

Published

Erschienen in

PEITGEN, Heinz-Otto, ed., Hartmut JÜRGENS, ed., Dietmar SAUPE, ed.. Chaos and Fractals : New Frontiers of Science. 2. ed.. New York: Springer, 2004, pp. 377-422. ISBN 978-0-387-20229-7. Available under: doi: 10.1007/0-387-21823-8_9

Zusammenfassung

Being introduced to the Pascal triangle for the first time, one might think that this mathematical object was a rather innocent one. Surprisingly it has attracted the attention of innumerable scientists and amateur scientists over many centuries. One of the earliest mentions (long before Pascal’s name became associated with it) is in a Chinese document from around 1303.1 Boris A. Bondarenko,2 in his beautiful recently published book, counts several hundred publications which have been devoted to the Pascal triangle and related problems just over the last two hundred years. Prominent mathematicians as well as popular science writers such as Ian Stewart,3 Evgeni B. Dynkin and Wladimir A. Uspenski,4 and Stephen Wolfram5 have devoted articles to the marvelous relationship between elementary number theory and the geometrical patterns found in the Pascal triangle. In chapter 2 we introduced one example: the relation between the Pascal triangle and the Sierpinski gasket.

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

PEITGEN, Heinz-Otto, Hartmut JÜRGENS, Dietmar SAUPE, 2004. Pascal’s Triangle : Cellular Automata and Attractors. In: PEITGEN, Heinz-Otto, ed., Hartmut JÜRGENS, ed., Dietmar SAUPE, ed.. Chaos and Fractals : New Frontiers of Science. 2. ed.. New York: Springer, 2004, pp. 377-422. ISBN 978-0-387-20229-7. Available under: doi: 10.1007/0-387-21823-8_9

BibTex

@incollection{Peitgen2004Pasca-42198,
  year={2004},
  doi={10.1007/0-387-21823-8_9},
  title={Pascal’s Triangle : Cellular Automata and Attractors},
  edition={2. ed.},
  isbn={978-0-387-20229-7},
  publisher={Springer},
  address={New York},
  booktitle={Chaos and Fractals : New Frontiers of Science},
  pages={377--422},
  editor={Peitgen, Heinz-Otto and Jürgens, Hartmut and Saupe, Dietmar},
  author={Peitgen, Heinz-Otto and Jürgens, Hartmut and Saupe, Dietmar}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/42198">
    <dc:creator>Saupe, Dietmar</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:contributor>Peitgen, Heinz-Otto</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-04-28T13:28:28Z</dc:date>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-04-28T13:28:28Z</dcterms:available>
    <dcterms:issued>2004</dcterms:issued>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/42198"/>
    <dcterms:abstract xml:lang="eng">Being introduced to the Pascal triangle for the first time, one might think that this mathematical object was a rather innocent one. Surprisingly it has attracted the attention of innumerable scientists and amateur scientists over many centuries. One of the earliest mentions (long before Pascal’s name became associated with it) is in a Chinese document from around 1303.1 Boris A. Bondarenko,2 in his beautiful recently published book, counts several hundred publications which have been devoted to the Pascal triangle and related problems just over the last two hundred years. Prominent mathematicians as well as popular science writers such as Ian Stewart,3 Evgeni B. Dynkin and Wladimir A. Uspenski,4 and Stephen Wolfram5 have devoted articles to the marvelous relationship between elementary number theory and the geometrical patterns found in the Pascal triangle. In chapter 2 we introduced one example: the relation between the Pascal triangle and the Sierpinski gasket.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Saupe, Dietmar</dc:contributor>
    <dcterms:title>Pascal’s Triangle : Cellular Automata and Attractors</dcterms:title>
    <dc:creator>Jürgens, Hartmut</dc:creator>
    <dc:creator>Peitgen, Heinz-Otto</dc:creator>
    <dc:contributor>Jürgens, Hartmut</dc:contributor>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Nein