Alice through the (Convex) Looking Glass. The Presidential Address to the London Branch of the Mathematical Association, February 9th, 1918

1918 ◽  
Vol 9 (135) ◽  
pp. 237
Author(s):  
Wm. Garnett
Keyword(s):  
Presidential Address ◽  
Mathematical Association ◽  
Looking Glass

The Soddy spheres of a 4-ball tetrahedron: Part 1

2008 ◽  
Vol 92 (524) ◽  
pp. 205-213 ◽  
Author(s):  
Michael Fox ◽  
Adrian Oldknow ◽  
John Rigby ◽  
Christopher Zeeman
Keyword(s):  
Software Package ◽  
Special Class ◽  
Presidential Address ◽  
Computer Software ◽  
Mathematical Association ◽  
Computer Software Package

New discoveries about the Soddy circles of a triangle were published in the Gazette [1] in 1995; they are summarised below. Extensions of wellknown results in the geometry of the triangle to that of the tetrahedron were presented by Zeeman in his 2004 Presidential Address at the Mathematical Association Conference in York [2]. Using the computer software package Cabri 3D, we have discovered new results which extend the Soddy circles of a triangle to Soddy spheres of a special class of tetrahedra. This article is the first of two which present our discoveries, as well as relevant aspects of the established geometry of tetrahedra, together with their proofs.

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