A new construction of a certain conceptual space is presented. Elements of this conceptual space correspond to (and serve as code for) concept elements of reality, which potentially comprise an infinite number of qualities. This construction of a conceptual space solves a problem stated by Dietz and his co-authors in 2013 in the context of Voronoi diagrams. The fractal construction of the conceptual space is that this problem simply does not pose itself. The concept of convexity is discussed in this new conceptual space. Moreover, the meaning of convexity is discussed in full generality, for example when space is deprived of it, its substitutes for concept domains are considered.

中文翻译：

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一类由无限p-Ary树的边界组成的概念空间

提出了某种概念空间的新构造。这个概念空间的元素对应于（并作为代码）现实的概念元素，它们可能包含无限数量的品质。这种概念空间的构建解决了 Dietz 及其合著者在 2013 年在 Voronoi 图的背景下提出的问题。概念空间的分形构造是这个问题根本不构成自身。在这个新的概念空间中讨论了凸性的概念。此外，凸性的含义得到了全面的讨论，例如，当空间被剥夺时，会考虑它对概念域的替代。