将地理空间表示为递归定义子空间的层次结构以计算序度
Representing Geographic Space as a Hierarchy of Recursively Defined Subspaces for Computing the Degree of Order
摘要：
正如克里斯托弗·亚历山大所发现的那样，所有的空间或物质--无论是有机的还是无机的--都根据其结构和排列而具有某种程度的秩序。序是指一种结构特征，称为活结构，它是由具有内在层次的众多子结构组成的数学结构。在整个层次结构中，小的子结构比大的子结构多得多，而在层次结构的每一级上，子结构的大小或多或少相似。在本文中，我们开发了一种新的方法来表示地理空间作为一个层次结构的递归定义的子空间计算的程度的顺序。首先将地理空间表示为递归定义的子空间的层次结构，然后将所有子空间拓扑地表示为用于计算地理空间及其子空间的有序度的网络。与传统的机械地理表现不同，这种新的地理表现是有机的，是在第三种空间观下构思和发展的;也就是说，空间既不是无生命的也不是中立的，而是一种有生命的结构，能够更有生命或更少生命。因此，秩序也可以被称为生命，美，连贯性或和谐。我们将新的表示应用于三个城市环境，253个模式和35个黑白条纹来验证它，并展示新方法和新秩序的优势。我们进一步讨论了地理信息科学和可持续城市规划的方法和顺序的影响。关键词：生命结构，模式语言，生命，整体，连贯，结构美
英文摘要：
As Christopher Alexander discovered, all space or matter - either organic or inorganic - has some degree of order in it according to its structure and arrangement. The order refers to a kind of structural character, called living structure, which is defined as a mathematical structure that consists of numerous substructures with an inherent hierarchy. Across the hierarchy, there are far more small substructures than large ones, while on each level of the hierarchy the substructures are more or less similar in size. In this paper we develop a new approach to representing geographic space as a hierarchy of recursively defined subspaces for computing the degree of order. A geographic space is first represented as a hierarchy of recursively defined subspaces, and all the subspaces are then topologically represented as a network for computing the degree of order of the geographic space, as well as that of its subspaces. Unlike conventional geographic representations, which are mechanical in nature, this new geographic representation is organic, conceived, and developed under the third view of space; that is, space is neither lifeless nor neutral, but a living structure capable of being more living or less living. Thus, the order can also be referred to as life, beauty, coherence, or harmony. We applied the new representation to three urban environments, 253 patterns, and 35 black-white strips to verify it and to demonstrate advantages of the new approach and the new kind of order. We further discuss the implications of the approach and the order on geographic information science and sustainable urban planning. Keywords: Living structure, pattern language, life, wholeness, coherence, structural beauty
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
