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DOI: 10.4230/LIPIcs.SoCG.2016.66

Visualizing Scissors Congruence

Authors: Satyan Devadoss, Ziv Epstein, and Dmitriy Smirnov

Published in: LIPIcs, Volume 51, 32nd International Symposium on Computational Geometry (SoCG 2016)

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.

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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)

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@InProceedings{devadoss_et_al:LIPIcs.SoCG.2016.66,
  author =	{Devadoss, Satyan and Epstein, Ziv and Smirnov, Dmitriy},
  title =	{{Visualizing Scissors Congruence}},
  booktitle =	{32nd International Symposium on Computational Geometry (SoCG 2016)},
  pages =	{66:1--66:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-009-5},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{51},
  editor =	{Fekete, S\'{a}ndor and Lubiw, Anna},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2016.66},
  URN =		{urn:nbn:de:0030-drops-59585},
  doi =		{10.4230/LIPIcs.SoCG.2016.66},
  annote =	{Keywords: polygonal congruence, geometry, rigid transformations}
}

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Visualizing Scissors Congruence

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