Abstract—

The article is devoted to a morphological diversity of icosahedral viruses (individual capsids and the structure of the diversity in general). It was demonstrated that the fixation of capsid by triangulation numbers does not distinguish the isomers. The description of capsids with point symmetry groups I_h (with symmetry planes) and I (without them) was detailed. In their diversity, the similarity series connected in pairs by transitions to dual capsids were distinguished. Within the general biological problems, the similarity series were interpreted as homological series; dual transitions between them were interpreted as refrains. The concept of generator capsids generating the homological series and refrains and not being reducible to more simple forms was determined. It was hypothesized that not only the icosahedron and dodecahedron dual to it but all shapes of an icosahedral–dodecahedral system and their combinations can be the basic shapes of icosahedral viruses, and the homologous series and refrains of icosahedral viruses can indicate their phylogenetic kinship.

中文翻译：

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二十面体病毒的形态多样性

摘要——

本文致力于二十面体病毒的形态多样性（个体衣壳和总体多样性结构）。已证明通过三角测量数固定衣壳并不能区分异构体。具有点对称群I _h（具有对称平面）和I 的衣壳的描述（没有他们）很详细。在其多样性中，通过向双衣壳的转变成对连接的相似性系列被区分。在一般的生物学问题中，相似级数被解释为同调级数；它们之间的双重过渡被解释为克制。确定了生成同源系列和克制且不能简化为更简单形式的发生器衣壳的概念。据推测，不仅是与其对偶的二十面体和十二面体，而且二十面体-十二面体系统的所有形状及其组合都可以是二十面体病毒的基本形状，并且二十面体病毒的同源系列和叠代可以表明它们的系统发育亲缘关系。