论文标题
代表地理空间是用于计算顺序程度的递归定义子空间的层次结构
Representing Geographic Space as a Hierarchy of Recursively Defined Subspaces for Computing the Degree of Order
论文作者
论文摘要
正如克里斯托弗·亚历山大（Christopher Alexander）发现的那样，所有空间或物质 - 有机或无机性 - 根据其结构和布置在其中有一定程度的秩序。该顺序是指一种结构性特征，称为生活结构，该特征被定义为数学结构，由许多具有固有层次结构的基结构组成。在整个层次结构中，比大的子结构要小得多，而在层次结构的每个级别上，子结构的大小或多或少是相似的。在本文中，我们开发了一种新的方法来表示地理空间作为用于计算顺序程度的递归定义子空间的层次结构。首先将地理空间表示为递归定义的子空间的层次结构，然后将所有子空间用作计算地理空间及其子空间的网络的拓扑表示。与传统的地理表示本质上是机械性的不同，这种新的地理表示是有机的，构思和开发的。也就是说，空间既不是毫无生气的也不是中立的，而是一种能够生活或更少生活的生活结构。因此，该命令也可以称为生活，美丽，连贯性或和谐。我们将新表示形式应用于三个城市环境，253个模式和35条黑白条，以验证它并证明新方法和新秩序的优势。我们进一步讨论了该方法的含义以及对地理信息科学和可持续城市规划的顺序。 关键词：生活结构，模式语言，生活，整体，连贯性，结构美
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
