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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360784
Title: 
Pappus Chain
Author(s): 
Haydock, Christopher
Language: 
eng
Description: 
  • None
  • The Pappus chain extends across at least two millennia of mathematics. Its origins trace back to the ancient Greek mathematician Archimedes and his studies of circles inscribed within the figure of an arbelos (or shoemaker's knife). The inversive geometry trick for efficiently computing the positions of pairwise tangent inscribed circles, or a Pappus chain, is apparently a modern invention. The Apollonian gasket or curvilinear Sierpinski sieve is constructed by the same iterative process of inscribing a circle in triplets of tangent circles. Thus the Pappus chain construction anticipates the class-2 nested behavior of many elementary cellular automata
  • Componente Curricular::Ensino Fundamental::Séries Finais::Matemática
Issue Date: 
  • 2008
  • 15-Sep-2008
  • 15-Sep-2008
  • 15-Sep-2008
  • 11-Sep-2008
Keywords: 
  • Greek Mathematics
  • Nested Patterns
  • Plane Geometry
  • Educação Básica::Ensino Fundamental Final::Matemática::Espaço e forma
Notes: 
Show Pappus Chain
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5355
URI: 
http://acervodigital.unesp.br/handle/unesp/360784
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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