Reference : Decomposition of balls in R^d |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/26491 | |||

Decomposition of balls in R^d | |

English | |

Kiss, Gergely [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

Somlai, Gabor [Eotvos Lorand University - ELTE > Algebra] | |

2016 | |

Mathematika | |

London Mathematical Society | |

62 | |

2 | |

378-405. | |

Yes (verified by ORBi^{lu}) | |

International | |

0025-5793 | |

2041-7942 | |

London | |

United Kingdom | |

[en] m-divisibility ; m-divisibility of the balls in Euclidean space | |

[en] We investigate the decomposition problem of balls into finitely many
congruent pieces in dimension d = 2k. In addition, we prove that the d dimensional unit ball B_d can be divided into finitely many congruent pieces if d = 4 or d ≥ 6. We show that the minimal number of required pieces is less than 20d if d ≥ 10. | |

Researchers | |

http://hdl.handle.net/10993/26491 | |

10.1112/S0025579315000248 | |

The original publication is available at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10127966&fileId=S0025579315000248 |

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