Lattice Delone simplices with super-exponential volume

Details Lattice Delone simplices with super-exponential volume Lattice Delone simplices with super-exponential volume

2005-07-06

arxiv.org/abs/math/0507119v2

European Journal of Combinatorics 28 (2007), 801-806

Mathematics

Combinatorics

7 pages; v2: revised version improves our exponential lower bound to a super-exponential one

Scientific paper

10.1016/j.ejc.2005.12.003

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.

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