This paper presents a novel computational model to measure the entropy value of 2-dimensional geometric patterns. The model takes an image file as input, it automatically identifies shapes and calculates entropy values for the given patterns based on the adjacency relationships of the detected shape tokens and the repetition frequencies of the shapes in the whole. The model utilizes Shannon’s definition of entropy to calculate shape entropy (SE), horizontal relationship entropy (HRE), and vertical relationship entropy (VRE) of 2-dimensional muqarnas patterns. In this study, the proposed model was tested in the muqarnas patterns in the portal of 12 mosques by architect Sinan which were built in the Classical Ottoman Period (sixteenth century). Initial findings of the implementation of the model show that the proposed automatized calculations are applicable to the selected sample group and have the potential to be adapted into different contexts.

中文翻译：

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测量 Sinan 的 Muqarnas 模式的熵

本文提出了一种新的计算模型来测量二维几何图案的熵值。该模型以图像文件为输入，根据检测到的形状标记的邻接关系和形状整体的重复频率，自动识别形状并计算给定图案的熵值。该模型利用香农的熵定义来计算二维木卡纳斯图案的形状熵（SE）、水平关系熵（HRE）和垂直关系熵（VRE）。在这项研究中，建筑师思南在古典奥斯曼帝国时期（16 世纪）建造的 12 座清真寺门户中的 muqarnas 图案中测试了所提出的模型。