Soddy's Hexlet

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Details

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, Soddy''s hexlet is a chain of six spheres , each of which is tangent to both of its neighbors and also to three mutually tangent given spheres. According to a theorem published by Frederick Soddy in 1937, it is always possible to find a hexlet for any choice of mutually tangent spheres A, B and C. Indeed, there is an infinite family of hexlets related by rotation and scaling of the hexlet spheres ; in this, Soddy''s hexlet is the spherical analog of a Steiner chain of six circles. Consistent with Steiner chains, the centers of the hexlet spheres lie in a single plane, on an ellipse. Soddy''s hexlet was also discovered independently in Japan, as shown by Sangaku tablets from 1822 in the Kanagawa prefecture.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131206665
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131206665
    • Format Fachbuch
    • Titel Soddy's Hexlet
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 80
    • Genre Mathematik

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