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Footballs and donuts in four dimensions
Instantanés de recherche mathématique à Oberwolfach
Footballs and donuts in four dimensions
In this snapshot, we explore connections between the mathematical areas of counting and geometry by studying objects called simplicial complexes. We begin by exploring many familiar objects in our three dimensional world and then discuss the ways one may generalize these ideas into higher dimensions.
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Sujet mathématique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Mathématiques discrètes et fondements des mathématiques
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Géométrie et Topologie
Liens avec d'autres domaines
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Informatique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Ingénierie et technologie
Licence
DOI
10.14760/SNAP-2016-012-EN
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snapshots: overview
Sujet mathématique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algèbre et théorie des nombres
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analyse
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/didactics-education-15.png?itok=zGEXvt-F)
Pédagogie et éducation
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Mathématiques discrètes et fondements des mathématiques
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Géométrie et Topologie
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Calcul numérique et calcul scientifique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Théorie des probabilités et statistique
Liens avec d'autres domaines
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Chimie et sciences de la terre
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Informatique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Ingénierie et technologie
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/finances-12.png?itok=lG8MBRm4)
Finances
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/humanities-02.png?itok=RscY9Rzd)
Humanités et sciences sociales
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Sciences de la vie
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Physique
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/reflections-05.png?itok=9gMon4LN)
Pensées mathématiques