| 单词 | Mikusinski's Problem |
| 释义 | Mikusinski's ProblemIs it possible to cover completely the surface of a Sphere with congruent, nonoverlapping arcs of GreatCircles? Conway and Croft (1964) proved that it can be covered with half-open arcs, but not with open arcs. They also showed that the Plane can be covered with congruent closed and half-open segments, but not with open ones.
Conway, J. H. and Croft, H. T. ``Covering a Sphere with Great-Circle Arcs.'' Proc. Cambridge Phil. Soc. 60, 787-900, 1964. Gardner, M. ``Point Sets on the Sphere.'' Ch. 12 in Knotted Doughnuts and Other Mathematical Entertainments. New York: W. H. Freeman, pp. 145-154, 1986. |
| 随便看 |
|
数学辞典收录了8975条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。