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Kate is also an accomplished recreational mathematician and poet. To try to match in a small way her creative ability, we offer three puzzle-games in her honor: O'BEIRNE's TRI-HEX, PAPPUS and "KATe JONES". These three are specific examples of (9,3) symmetric configurations. More generally an (n,r) configuration is a collection of n "points"and n "lines" subject to the following requirements:

Rl: Any two points belong to at most one line.

R2: Each line has r points, and each point belongs to r lines.


This is an electronic copy of a paper originally appearing in the G4G12 Exchange Book. Archived with permission. The authors reserve all rights.


In the spirit of Martin Gardner, who believed in inclusiveness and the sharing of knowledge and curiosity, and as a non-profit that benefits from the generosity of our community, G4G is pleased to give back to the world by making the G4Gn Gift Exchange Books available for download online.

However, these papers are a compilation of original material and the contributors retail their copyrights. No part of the Gift Exchange Books may be reproduced or distributed in any form, without the prior written permission of the original author.