Report
Periodic triangulations of $\mathbb{Z}^n$
| العنوان: | Periodic triangulations of $\mathbb{Z}^n$ |
|---|---|
| المؤلفون: | Sikirić, Mathieu Dutour, Garber, Alexey |
| المصدر: | Electronic J. Comb, 27:2 (2020), P2.36 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Metric Geometry |
| الوصف: | We consider in this work triangulations of $\mathbb{Z}^n$ that are periodic along $\mathbb{Z}^n$. They generalize the triangulations obtained from Delaunay tessellations of lattices. Other important property is the regularity and central-symmetry property of triangulations. Full enumeration for dimension at most $4$ is obtained. In dimension $5$ several new phenomena happen: there are centrally-symmetric triangulations that are not Delaunay, there are non-regular triangulations (it could happen in dimension $4$) and a given simplex has a priori an infinity of possible adjacent simplices. We found $950$ periodic triangulations in dimension $5$ but finiteness is unknown. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.37236/8298 |
| URL الوصول: | http://arxiv.org/abs/1810.10911 |
| رقم الانضمام: | edsarx.1810.10911 |
| قاعدة البيانات: | arXiv |
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1 |
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edsarx arXiv edsarx.1810.10911 981 3 Report report 981.457214355469 |
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https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.1810.10911&custid=s6537998&authtype=sso |
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