Publication

New dense superball packings in three dimensions

Maria Margarethe Dostert
2020
Journal Articles

Abstract

We construct a new family of lattice packings for superballs in three dimensions (unit balls for the l(3)(p) norm) with p epsilon (1, 1.58]. We conjecture that the family also exists for p epsilon (1.58, log(2) 3 = 1.5849625 ...]. Like in the densest lattice packing of regular octahedra, each superball in our family of lattice packings has 14 neighbors.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

New dense superball packings in three dimensions

Chat with Graph Search

Some Mordell-Weil lattices and applications to sphere packings

Computer-assisted proof of kernel inequalities

Lattice packings through division algebras