An ancient rule for constructing dodecagonal quasiperiodic patterns

13th International Conference on Quasicrystals

Ajlouni, Rima^1

School of Architecture, University of Utah, Salt Lake City

UT

84112, United States^1

关键词: Ancient world;    Design Principles;    Guiding principles;    Islamic architectures;    Mathematical principle;    Multilevels;    Quasi-periodic;    Structural modeling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/809/1/012028/pdf
DOI  :  10.1088/1742-6596/809/1/012028

来源: IOP

【 摘 要 】

The discovery of complex dodecagonal patterns in historical Islamic architecture is generating a renewed interest into understanding the mathematical principles of traditional Islamic geometry. By employing a compass and a straightedge, ancient craftsmen utilized consistent design principles that allowed for diverse geometric expressions to be realized throughout the ancient world. Derived from these principles, a global multi-level structural model is proposed that provides a general guiding principle for constructing a wide variety of infinite dodecagon-based quasiperiodic patterns.