License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
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DOI: 10.4230/LIPIcs.SoCG.2022.67
URN: urn:nbn:de:0030-drops-160759
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Devadoss, Satyan L. ; Harvey, Matthew S. ; Zhang, Sam

Visualizing and Unfolding Nets of 4-Polytopes (Media Exposition)

LIPIcs-SoCG-2022-67.pdf (0.8 MB)


Over a decade ago, it was shown that every edge unfolding of the Platonic solids was without self-overlap, yielding a valid net. Recent work has extended this property to their higher-dimensional analogs: the 4-cube, 4-simplex, and 4-orthoplex. We present an interactive visualization that allows the user to unfold these polytopes by drawing on their dual 1-skeleton graph.

BibTeX - Entry

  author =	{Devadoss, Satyan L. and Harvey, Matthew S. and Zhang, Sam},
  title =	{{Visualizing and Unfolding Nets of 4-Polytopes}},
  booktitle =	{38th International Symposium on Computational Geometry (SoCG 2022)},
  pages =	{67:1--67:4},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-227-3},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{224},
  editor =	{Goaoc, Xavier and Kerber, Michael},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-160759},
  doi =		{10.4230/LIPIcs.SoCG.2022.67},
  annote =	{Keywords: unfoldings, nets, polytopes}

Keywords: unfoldings, nets, polytopes
Collection: 38th International Symposium on Computational Geometry (SoCG 2022)
Issue Date: 2022
Date of publication: 01.06.2022
Supplementary Material: Software (Web-Application):

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