Large regular simplices contained in a hypercube

被引：0
|
作者：
Hiroshi Maehara
Imre Z. Ruzsa
Norihide Tokushige
机构：
[1] Ryukyu University,College of Education
[2] Hungarian Academy of Sciences,Alfréd Rényi Institute of Mathematics
[3] Ryukyu University,College of Education
来源：
Periodica Mathematica Hungarica | 2009年 / 58卷
关键词：
regular simplex; hypercube; Hadamard matrix; 52C07; 05B20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that the n-dimensional unit hypercube contains an n-dimensional regular simplex of edge length c√n, where c > 0 is a constant independent of n.
引用
收藏
页码：121 / 126
页数：5
相关论文
共 50 条
  • [1] Large regular simplices contained in a hypercube
    Maehara, Hiroshi
    Ruzsa, Imre Z.
    Tokushige, Norihide
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2009, 58 (01) : 121 - 126
  • [2] Largest parallelotopes contained in simplices
    Leng, GS
    Zhang, Y
    Ma, BL
    [J]. DISCRETE MATHEMATICS, 2000, 211 (1-3) : 111 - 123
  • [3] RANDOM PROJECTIONS OF REGULAR SIMPLICES
    AFFENTRANGER, F
    SCHNEIDER, R
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 1992, 7 (03) : 219 - 226
  • [4] A statistical characterization of regular simplices
    Abramson, Ian
    Goldstein, Larry
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2006, 113 (08): : 750 - 752
  • [5] Partition regular structures contained in large sets are abundant
    Bergelson, V
    Hindman, N
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2001, 93 (01) : 18 - 36
  • [6] REGULAR SIMPLICES AND GAUSSIAN SAMPLES
    BARYSHNIKOV, YM
    VITALE, RA
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 1994, 11 (02) : 141 - 147
  • [7] Regular simplices passing through holes
    Maehara, Hiroshi
    Tokushige, Norihide
    [J]. GEOMETRIAE DEDICATA, 2010, 145 (01) : 19 - 32
  • [8] REGULAR SIMPLICES AND PERIODIC BILLIARD ORBITS
    Bedaride, Nicolas
    Rao, Michael
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (10) : 3511 - 3519
  • [9] Gaussian samples, regular simplices, and exchangeability
    Baryshnikov, YM
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 1997, 17 (03) : 257 - 261
  • [10] REGULAR SIMPLICES IN SPACES OF CONSTANT CURVATURE
    MARTINI, H
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1993, 100 (02): : 169 - 171
12345