井冈山大学学报（自然科学版）Issue(6)：8-11,16,5.DOI:10.3969/j.issn.1674-8085.2015.06.002
正多面体对称群生成元的计算方法
A METHOD FOR THE GENERATORS OF THE SYMMETRY GROUPS OF REGULAR SOLIDS
摘要
Abstract
According to the geometrical meaning of the regular solids, we can derive its matrix generators directly. However, it is difficult to achieve the generators of regular polytopes in higher dimension space for there are no visible models. Given an abstract presentation of a regular polyhedral group, we propose a pure algebraic method to establish its generators. The method can be similarly extended to deal with the regular polytopes in higher dimension space.关键词
正多面体/对称群/生成元/反射群Key words
regular solids/symmetry group/generators/reflection group分类
信息技术与安全科学引用本文复制引用
欧阳培昌,占小根,邓志云,范发明..正多面体对称群生成元的计算方法[J].井冈山大学学报（自然科学版）,2015,(6):8-11,16,5.基金项目
国家自然科学基金项目(11461035)；江西省自然科学基金项目(20142BAB211012)；井冈山大学博士科研启动基金项目(JZB1303)；吉安市科技计划项目(吉市科计字[2014]36号12) （11461035）
