Pasch Configuration

Author

Eric W. Weisstein
May 22, 2026

This notebook downloaded from https://mathworld.wolfram.com/notebooks/Configurations/PaschConfiguration.nb.

For more information, see Eric's MathWorld entry https://mathworld.wolfram.com/PaschConfiguration.html.

©2026 Wolfram Research, Inc. except for portions noted otherwise

Standard name

GraphData["PaschConfigurationGraph","#"]

Graphic

RegionIntersection[Line[{{1,0},{1,1}/2}],Line[{{6,0},{8,8}}/10]]

pts={{0,0},{6/10,0},{1,0},{8,8}/10,{1/2,1/2},{(17/25),(8/25)}};
lines={{1,2,3},{1,5,4},{3,6,5},{2,6,4}};

ConfigurationDiagram[pts,lines]

g=ConfigurationGraph[pts,lines]

cgname=RecognizeGraph[g]

GraphData[cgname,"Graph","Configuration"]

RecognizeGraph[LeviGraph[lines]]

GraphData["PaschGraph","IncidenceLines"]

RecognizeGraph/@LeviGraph/@%