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Half-Turns and Infinite Chains of Clifford Configurations

Published online by Cambridge University Press:  20 November 2018

J. F. Rigby
J. F. Rigby*
Affiliation:
University College, Cardiff, Wales
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In a recent paper [7] Longuet-Higgins and Parry prove that, given a general Clifford configuration of degree 5 (abbreviated to CL5), C 0 say, there exist points P and Q such that the inverses of P in the circles of C 0 form the points of another CL5C 1, whilst the inverses of Q in the circles of C 1 are the points of C 0; also the inverses of Q in the circles of C 0 form the points of a CL5 C –1, whilst the inverses of P in the circles of C –1 are the points of C 0. This leads to an infinite chain …, C –2, C –1, C 0, C 1, C 2, … of CL5s, each connected to the next by means of the same two points P and Q, called the poles of the chain.

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 34 , Issue 4 , 01 August 1982 , pp. 816 - 831
Copyright
Copyright © Canadian Mathematical Society 1982

References

References>

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