病毒和富勒烯--对称性是一条共同的线索？
Viruses and Fullerenes - Symmetry as a Common Thread?
摘要：
在这里，我们将仿射对称原理应用于碳化学背景下出现的嵌套富勒烯笼（碳洋葱）。以前的工作仿射扩展的二十面体组揭示了一个新的组织原则，在病毒的结构和组装。我们在这里适应这个群论框架的物理要求所规定的碳化学，并表明，我们可以推导出数学模型的碳洋葱在这种仿射对称性的方法。这表明了仿射对称在自然界更广泛背景下的适用性，并为碳化学的几何原理提供了一个新的视角。
英文摘要：
We apply here the principle of affine symmetry to the nested fullerene cages (carbon onions) that arise in the context of carbon chemistry. Previous work on affine extensions of the icosahedral group has revealed a new organisational principle in virus structure and assembly. We adapt this group theoretic framework here to the physical requirements dictated by carbon chemistry, and show that we can derive mathematical models for carbon onions within this affine symmetry approach. This suggests the applicability of affine symmetry in a wider context in Nature, as well as offering a novel perspective on the geometric principles underpinning carbon chemistry.
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