@inproceedings{Chad2008SymmetriesOT,
title={Symmetries of two-point sets},
author={Ben Chad and Rolf Suabedissen},
year={2008}
}

Ben Chad, Rolf Suabedissen

Published 2008

A two-point set is a subset of the plane which meets every planar line in exactly two-points. We discuss the problem “What are the topological symmetries of a twopoint set?”. Our main results assert the existence of two-point sets which are rigid and the existence of two-point sets which are invariant under the action of certain autohomeomorphism groups. We pay particular attention to the isometry group of a two-point set, and show that such groups consist only of rotations and that they may be… CONTINUE READING