License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SoCG.2016.66
URN: urn:nbn:de:0030-drops-59585
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/5958/
Go to the corresponding LIPIcs Volume Portal

Devadoss, Satyan ; Epstein, Ziv ; Smirnov, Dmitriy

Visualizing Scissors Congruence

pdf-format:
LIPIcs-SoCG-2016-66.pdf (0.5 MB)

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.

BibTeX - Entry

@InProceedings{devadoss_et_al:LIPIcs:2016:5958,
  author =	{Satyan Devadoss and Ziv Epstein and Dmitriy Smirnov},
  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 =	{S{\'a}ndor Fekete and Anna Lubiw},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/5958},
  URN =		{urn:nbn:de:0030-drops-59585},
  doi =		{10.4230/LIPIcs.SoCG.2016.66},
  annote =	{Keywords: polygonal congruence, geometry, rigid transformations}
}

Keywords: polygonal congruence, geometry, rigid transformations
Collection: 32nd International Symposium on Computational Geometry (SoCG 2016)
Issue Date: 2016
Date of publication: 10.06.2016

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI