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《新科学家》 2026年10月3日 · 中文解读

罕见八面体形状被发现

Rare eight-faced shape discovered · Chris Stokel-Walker
约 4 分钟Mathematics在小程序里点播,20 到 60 分钟做好
这篇讲什么
独立研究者兼设计工程师Ruslan Mizhaev构造出一个罕见的八面多面体,它的每个面都与其他所有面相邻,且24个顶点全部使用整数坐标。该形状属于亏格3的多面体,由八个九边形平面组成,共有24个顶点和36条棱,让人联想到四面体和更知名的Szilassi多面体。爱丁堡大学的Lars Schewe认为,这一成果是更大谜题中的一块拼图,并未推翻现有猜想。
原文开头
A STRANGE new eight-faced shape has been found in which every face touches every other face, using a set of simple integer coordinates. Mathematicians can define abstract patterns, describing which vertices, edges and faces should connect. But working out whether those rules can actually be turned into an object in three-dimensional space, without parts intersecting where they shouldn’t, can be extremely difficult. Ruslan Mizhaev, an independent researcher and design engineer, has produced a geometric realisation of a genus-3 polyhedron – essentially a surface with three holes – made from eight flat, nine-sided faces. It has 24 vertices and 36 edges, with three faces meeting at every vertex. …
摘自《新科学家》(New Scientist)2026年10月3日,Chris Stokel-Walker。仅引用开头一小段供了解文章,版权归原刊所有,全文请阅读原刊。
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