Matar mosques a canonades Authors Günter M. Ziegler Abstract The story told here starts with an innocuous little geometry problem, posed in a September 2006 blog entry by R. Nandakumar, an engineer from Calcutta, India: This little problem is a «sparrow», tantalizing, not as easy as one could perhaps expect, and Recreational Mathematics: of no practical use. I will sketch, however, how this little problem connects to very serious mathematics: For the modelling of this problem we employ insights from a key area of Applied Mathematics, the Theory of Optimal Transportation. This will set up the stage for application of a major tool from Very Pure Mathematics, known as Equivariant Obstruction Theory. This is a «cannon», and well have some fun firing it at the sparrow. On the way to a solution, combinatorial properties of a very classical geometric object, the permutahedron, turn out to be essential. These will, at the end of the story, lead us back to India, with some time travel that takes us one hundred years into the past: For the last step in our (partial) solution of the sparrows problem we need a simple property of the numbers in Pascals triangle, which was first observed by Balak Ram, in Madras 1909. But even if the existence problem is solved, the little geometry problem is not: If the solution exists, how do you find one? This problem will be left to you. Instead, I will comment on the strained relationship between cannons and sparrows, and to this avail quote a poem by Hans Magnus Enzensberger. Downloads Text complet (Català) Published 2016-07-22 How to Cite Ziegler, G. M. (2016). Matar mosques a canonades. Butlletí De La Societat Catalana De Matemàtiques, 31(1), 73–89. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/92291.001 More Citation Formats ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Download Citation Endnote/Zotero/Mendeley (RIS) BibTeX Issue Vol. 31 No. 1 (2016) Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Butlletí de la Societat Catalana de Matemàtiques, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Butlletí de la Societat Catalana de Matemàtiques.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Butlletí de la Societat Catalana de Matemàtiques is not responsible for the ideas and opinions expressed by the authors of the published articles.