Movable \((n_4)\) configurations
type: Item
instance of: scholarly article
title: Movable \((n_4)\) configurations
zbMATH Open document ID: 1109.51003
author: Leah Wrenn Berman
published in: The Electronic Journal of Combinatorics
publication date: 2007-03-12T00:00:00Z
full work available at URL: https://eudml.org/doc/126917
full work available at URL: v13i1r104.html
review text: Summary: An \((n_k)\) configuration is a collection of points and straight lines, usually in the Euclidean plane, so that each point lies on \(k\) lines and each line passes through \(k\) points; such a configuration will be called symmetric if it possesses non-trivial geometric symmetry. Although examples of symmetric \((n_3)\) configurations with continuous parameters are known, to this point, all known connected infinite families of \((n_4)\) configurations with non-trivial geometric symmetry had the property that each set of discrete parameters describing the configuration corresponded to a single \((n_4\)) configuration. This paper presents several new classes of highly symmetric \((n_4)\) configurations which have at least one continuous parameter; that is, the configurations are movable.
Mathematics Subject Classification ID: 51A20
Mathematics Subject Classification ID: 52C35
zbMATH DE Number: 5132817
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5132817