A model of intergrowth of graphite and diamond in a metallic matrix based on existence of generating clusters of tetracoordinated structures representing structural implementations of mathematical constructions is suggested. The model demonstrates the displacements of atoms, as a result of which one structure transforms into another. The choice of such “mathematically defined molecules” is determined unambiguously by mathematical constructions rather than by physical (interatomic) interactions just like spatial groups are defined purely analytically without supposition of existence of atoms.

中文翻译：

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金属基体中石墨和金刚石的对称可能共生

提出了一种石墨和金刚石在金属基体中的共生模型，该模型基于生成代表数学结构的结构实现的四配位结构簇的存在。该模型演示了原子的位移，结果是一种结构转变为另一种结构。这种“数学定义的分子”的选择是由数学结构明确决定的，而不是由物理（原子间）相互作用决定的，就像空间群在没有原子存在假设的情况下纯粹分析定义一样。