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一道四维单形的证明题

Floor 1 4Der 4/20/11 22:25
任意五胞体EABCD自五个顶点分别引出四条直线(每个顶点不同颜色)使得自这一顶点引出的四条直线所组成的五胞体的各侧四面体所成二胞角分别为以 这一点为顶点对应的原五胞体EABCD各侧四面体所成二胞角的3分之一,且这些直线两两相交,连接其交点得到五胞体JFGHI。求证:五胞体JFGHI是正五胞体

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