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The Soddy spheres of a 4-ball tetrahedron: Part 2

Published online by Cambridge University Press:  01 August 2016

Michael Fox ,
Adrian Oldknow ,
John Rigby  and
Christopher Zeeman
Michael Fox
Affiliation:
2 Learn Road, Leamington Spa CV32 3PA, e-mail: [email protected]
Adrian Oldknow
Affiliation:
Church Lane House, Eastergate, Chichester PO20 3UR, e-mail: [email protected]
John Rigby
Affiliation:
Flat 5 Cathedral Court, Cathedral Green, Llandaff, Cardiff CF5 2EB, e-mail: [email protected]
Christopher Zeeman
Affiliation:
21 High Street, Woodstock OX20 1TE
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Extract

This is the second of two articles presenting new results which extend the Soddy circles of a triangle to Soddy spheres of a special class of tetrahedra. In Part 1 [1], after a brief résumé of the Soddy theorems in two dimensions, we stated the corresponding theorems in three dimensions, discovered partly as the result of computer investigations. These threedimensional Soddy theorems are valid only for a special type of tetrahedron - the four-ball tetrahedron - and we went on to prove some basic results about such tetrahedra.

Type
Articles
Information
The Mathematical Gazette , Volume 92 , Issue 525 , November 2008 , pp. 418 - 430
Copyright
Copyright © The Mathematical Association 2008

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