A new class of movable (n4) configurations

Leah Wrenn Berman

Abstract


A geometric (n4) configuration is a collection of n points and n lines, usually in the Euclidean plane, so that every point lies on four lines and every line passes through four points. This paper introduces a new class of movable ((5m)4) configurations---that is, configurations which admit a continuous family of realizations fixing four points in general position but moving at least one other point---including the smallest known movable (n4) configuration.

Keywords


configurations



DOI: https://doi.org/10.26493/1855-3974.17.de0

ISSN: 1855-3974

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