中世纪伊斯兰建筑中的十角形和准晶
Peter J Lu1, Paul J Steinhardt
1Department of Physics, Harvard University, Cambridge, MA 02138, USA. plu@fas.harvard.edu
概括
中世纪的伊斯兰建筑师在公元1200年开发了一种新的方法,使用几何创建 girih 图案. 这一创新导致了复杂的设计,包括在西方发现之前几个世纪的准晶体图案.
科学领域:
- 艺术史 艺术史 艺术史
- 几何图案分析几何图案分析
- 建筑设计 建筑设计
背景情况:
- 在伊斯兰建筑中对 girih 图案的传统理解.
- 以前的方法是使用直和指南针绘制几何图案.
研究的目的:
- 在公元1200年左右的 girih 图案设计中调查概念上的转变.
- 分析 girih 模式复杂性的演变及其与准晶体结构的联系.
主要方法:
- 分析历史的Girih模式和建筑蓝图.
- 基于几何原理的设计过程的重建.
- 伊斯兰模式与西方准晶体发现的比较.
主要成果:
- 到公元1200年,Girih图案被重新构想成"girih" (平面多边形) 的拼接.
- 这种基于的方法促进了复杂的周期性 girih 图案的创建.
- 到15世纪,自相似的转换与图形结合在一起,产生准晶状的图案.
结论:
- 伊斯兰几何设计在公元1200年左右取得了重要的概念突破.
- 吉里瓦的使用早于西方对图形和准晶体的理解.
- 伊斯兰建筑设计展示了先进的数学和几何原理,比他们的时代提前了几个世纪.
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