| 正多边形对称群的性质 |
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| 引用本文： | 顾艳红,李扉. 正多边形对称群的性质[J]. 杭州师范大学学报(自然科学版), 2011, 0(1): 15-17 |
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| 作者姓名： | 顾艳红 李扉 |
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| 作者单位： | 北京林业大学理学院; |
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| 基金项目： | 中央高校基本科研业务费专项资金资助 |
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| 摘 要： | 利用M.Chasles定理研究了正多边形对称群元素的类型,并对这种群中任意两个变换的乘积进行了讨论,由此解决了正多边形对称群的结构问题,即正n边形对称群由其中任意一个反射变换和任意一个阶为n的旋转变换生成.
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| 关 键 词： | 正多边形 群 对称群 |
The Properties of Regular Polygons Symmetry Group |
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| GU Yan-hong,LI Fei. The Properties of Regular Polygons Symmetry Group[J]. , 2011, 0(1): 15-17 |
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| Authors: | GU Yan-hong LI Fei |
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| Affiliation: | GU Yan-hong,LI Fei(College of Science,Beijing Forestry University,Beijing 100083,China) |
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| Abstract: | By using M.Chasles Theorem,the paper studied the types of the elements of regular polygons symmetry group,discussed the product of two transformations in this group.It is proved that the regular n-gons symmetry group is generated by a rotation transformation with rank n and a reflection transformation. |
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| Keywords: | regular polygons group symmetry group |
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