Spherical codes, maximal local packing density, and the golden ratio

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Spherical codes, maximal local packing density, and the golden ratio

golden ratio Adam B. Hopkins, Frank H. Stillinger, and Salvatore Torquato Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA Department of Physics, Princeton University, Princeton, New Jersey 08544, USA Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA School of Natural Sciences, Institute for Advanced Study, Princeton,...

متن کامل

On Maximal Spherical Codes I

We investigate the possibilities for attaining two Levenshtein upper bounds for spherical codes. We find the distance distributions of all codes meeting these bounds. Then we show that the fourth Levenshtein bound can be attained in some very special cases only. We prove that no codes with an irrational maximal scalar product meet the third Levenshtein bound. So in dimensions 3 ≤ n ≤ 100 exactl...

متن کامل

The random packing density of nearly spherical particles.

Obtaining general relations between macroscopic properties of random assemblies, such as density, and the microscopic properties of their constituent particles, such as shape, is a foundational challenge in the study of amorphous materials. By leveraging existing understanding of the random packing of spherical particles, we estimate the random packing density for all sufficiently spherical sha...

متن کامل

On maximal antipodal spherical codes with few distances

Using linear programming techniques we derive bounds for antipodal spherical codes. The possibilities for attaining our bounds are investigated and Lloyd-type theorems are proved.

متن کامل

The golden ratio and aesthetics

Mario Livio is a scientist and self−proclaimed "art fanatic" who owns many hundreds of art books. Recently, he combined his passions for science and art in two popular books, The Accelerating Universe, which appeared in 2000, and The Golden Ratio, reviewed in this issue of Plus. The former book discusses "beauty" as an essential ingredient in fundamental theories of the universe. The latter dis...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2010

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.3372627