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Ipelets for Points and Polygons

Authors: Klint Faber, Auguste H. Gezalyan, Adam Martinson, Aniruddh Mutnuru, Nithin Parepally, Ryan Parker, Mihil Sreenilayam, Aram Zaprosyan, and David M. Mount

Abstract

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Klint Faber, Auguste H. Gezalyan, Adam Martinson, Aniruddh Mutnuru, Nithin Parepally, Ryan Parker, Mihil Sreenilayam, Aram Zaprosyan, David M. Mount. Ipelets for Points and Polygons (Software). Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@misc{dagstuhl-artifact-23340,
   title = {{Ipelets for Points and Polygons}}, 
   author = {Faber, Klint and Gezalyan, Auguste H. and Martinson, Adam and Mutnuru, Aniruddh and Parepally, Nithin and Parker, Ryan and Sreenilayam, Mihil and Zaprosyan, Aram and Mount, David M.},
   note = {Software, swhId: \href{https://archive.softwareheritage.org/swh:1:dir:8d9d49631e2688049de55f2c874e85e56cb50620;origin=https://github.com/nithin1527/onion-soup;visit=swh:1:snp:c055d63f5a6fe8fb1d9092a820512b5f1eea62fa;anchor=swh:1:rev:698a000737b45477597e7ffc8f17e59072bfe7f3}{\texttt{swh:1:dir:8d9d49631e2688049de55f2c874e85e56cb50620}} (visited on 2025-06-20)},
   url = {https://github.com/nithin1527/onion-soup},
   doi = {10.4230/artifacts.23340},
}

Document

Media Exposition

DOI: 10.4230/LIPIcs.SoCG.2025.83

French Onion Soup, Ipelets for Points and Polygons (Media Exposition)

Authors: Klint Faber, Auguste H. Gezalyan, Adam Martinson, Aniruddh Mutnuru, Nithin Parepally, Ryan Parker, Mihil Sreenilayam, Aram Zaprosyan, and David M. Mount

Published in: LIPIcs, Volume 332, 41st International Symposium on Computational Geometry (SoCG 2025)

Abstract

There are many structures, both classical and modern, involving point-sets and polygons whose deeper understanding can be facilitated through interactive visualizations. The Ipe extensible drawing editor, developed by Otfried Cheong, is a widely used software system for generating geometric figures. One of its features is the capability to extend its functionality through programs called Ipelets. In this media submission, we showcase a collection of new Ipelets that construct a variety of geometric structures based on point sets and polygons. These include quadtrees, trapezoidal maps, beta skeletons, floating bodies of convex polygons, onion graphs, fractals (Sierpiński triangle and carpet), simple polygon triangulations, and random point sets in simple polygons. All our Ipelets are programmed in Lua and are freely available.

Cite as

Klint Faber, Auguste H. Gezalyan, Adam Martinson, Aniruddh Mutnuru, Nithin Parepally, Ryan Parker, Mihil Sreenilayam, Aram Zaprosyan, and David M. Mount. French Onion Soup, Ipelets for Points and Polygons (Media Exposition). In 41st International Symposium on Computational Geometry (SoCG 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 332, pp. 83:1-83:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{faber_et_al:LIPIcs.SoCG.2025.83,
  author =	{Faber, Klint and Gezalyan, Auguste H. and Martinson, Adam and Mutnuru, Aniruddh and Parepally, Nithin and Parker, Ryan and Sreenilayam, Mihil and Zaprosyan, Aram and Mount, David M.},
  title =	{{French Onion Soup, Ipelets for Points and Polygons}},
  booktitle =	{41st International Symposium on Computational Geometry (SoCG 2025)},
  pages =	{83:1--83:6},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-370-6},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{332},
  editor =	{Aichholzer, Oswin and Wang, Haitao},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2025.83},
  URN =		{urn:nbn:de:0030-drops-232350},
  doi =		{10.4230/LIPIcs.SoCG.2025.83},
  annote =	{Keywords: Hilbert metric, Macbeath Regions, Polar Bodies, convexity}
}

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Documents authored by Mutnuru, Aniruddh

Ipelets for Points and Polygons

Abstract

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French Onion Soup, Ipelets for Points and Polygons (Media Exposition)

Abstract

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