Geodesic
Half-Turns and Infinite Chains of Clifford Configurations
Canadian journal of mathematics, Tome 34 (1982) no. 4, pp. 816-831

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Rigby, J. F. Half-Turns and Infinite Chains of Clifford Configurations. Canadian journal of mathematics, Tome 34 (1982) no. 4, pp. 816-831. doi: 10.4153/CJM-1982-057-8
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