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Farbige Parkette: Mathematische Theorie Und Ausführung Mit Dem Computer. Vier Aufsätze Zur Ebenen Kristallographie

Farbige Parkette: Mathematische Theorie Und Ausführung Mit Dem Computer. Vier Aufsätze Zur Ebenen Kristallographie

          
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About the Book

Die vier Aufsätze sowie die sieben Farbtafeln, aus de- nen das vorliegende Büchlein besteht, befassen sich mit dem Thema der mathematischen Kristallographie. Aus Gründen der Anschaulichkeit und der allgemeinen Verständlichkeit beschränken wir uns dabei auf Kristal- lographie in der euklidischen Ebene (gehen also weder auf den dreidimensionalen noch auf den hyperbolischen Fall ein). Wir befassen uns hier vor allem mit zwei großen Pro- blemkreisen: dem Parkettierungs- und dem Färbungs- Problem in der euklidischen Ebene. Beide Probleme sind schon im Kunsthandwerk der alten Ägypter und Ara- ber sehr ernstlich behandelt und, bevor sich die Wis- senschaftler - vor allem Physiker und Mathematike- in unserem Jahrhundert nach und nach diesen tiefsinni- gen Problemen in angemessener Weise zugewendet ha- ben, neuerdings von dem holländischen Graphiker Mau- rits Cornelius Escher in wunderschöner Weise vertieft worden. Beim Parkettierungs-Problem geht es darum, die Ebe- ne durch lauter deckungsgleiche Parkettsteine - lücken- los und überlappungsfrei - zu überdecken. Und zwar soll dies in regelmäßiger Weise geschehen, das heißt doppelt periodisch, wie Mathematiker das nennen. Ein Beispiel ist die Überdeckung der Ebene durch Eschers echsen- förmige Parkettsteine, wie sie auf dem Umschlag dieses Büchleins abgebildet sind. Beim Färbungs-Problem sollen die Parkettsteine mit einer Anzahl verschiedener Farben eingefärbt werden, und zwar ebenfalls in regelmäßiger (das heißt doppelt periodischer) Weise. Ein Beispiel ist wieder das neun- farbige Echsenparkett auf dem Umschlag. Jede Lösung dieser Aufgaben nennen wir ein Farbparkett. In den Farb- tafeln 1-7 dieses Büchleins kann man weitere Beispiele von Farbparketten anschauen.


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Product Details
  • ISBN-13: 9783764322236
  • Publisher: Birkhauser Verlag AG
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Spine Width: 11 mm
  • Weight: 208 gr
  • ISBN-10: 3764322233
  • Publisher Date: 01 Sep 1988
  • Height: 203 mm
  • No of Pages: 203
  • Series Title: Mathematische Miniaturen
  • Sub Title: Mathematische Theorie Und Ausführung Mit Dem Computer. Vier Aufsätze Zur Ebenen Kristallographie
  • Width: 127 mm


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Farbige Parkette: Mathematische Theorie Und Ausführung Mit Dem Computer. Vier Aufsätze Zur Ebenen Kristallographie
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Farbige Parkette: Mathematische Theorie Und Ausführung Mit Dem Computer. Vier Aufsätze Zur Ebenen Kristallographie
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