Lattice Delone simplices with super-exponential volume

Authors:
Francisco Santos;Achill Schürmann;Frank Vallentin
Affiliations:
Dept. Matemáticas, Estadística y Computación, Univ. de Cantabria, E-39005 Santander, Spain;Mathematics Department, University of Magdeburg, 39106 Magdeburg, Germany;Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel
Venue:
European Journal of Combinatorics
Year:
2007

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Abstract

In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves the previous best lower bound, which was linear.