LIPIcs.SoCG.2016.66.pdf
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Visualizing Scissors Congruence
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32nd International Symposium on Computational Geometry (SoCG 2016)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Symposium on Computational Geometry (SoCG) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2016-06-10
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Satyan Devadoss, Ziv Epstein, and Dmitriy Smirnov. Visualizing Scissors Congruence. In 32nd International Symposium on Computational Geometry (SoCG 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 51, pp. 66:1-66:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)
https://doi.org/10.4230/LIPIcs.SoCG.2016.66
Abstract
Consider two simple polygons with equal area. The Wallace-Bolyai-Gerwien theorem states that these polygons are scissors congruent, that is, they can be dissected into finitely many congruent polygonal pieces. We present an interactive application that visualizes this constructive proof.
Subject Classification
Keywords
- polygonal congruence
- geometry
- rigid transformations
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