An Auxetic System Based on Interconnected Y-Elements Inspired by Islamic Geometric Patterns

Origami-inspired deployable auxetic metamaterials

Developing complex spatial objects from a fl at sheet of material using origami folding techniques has long attractedattention in science and engineering. Recent research has shown that in origami-based deployable folded sheetmaterials, such as Miura-ori, metamaterial properties of the patterns are basically because of their folding geom-etry [1, 2]. In this study, we employ tai...

Grid Method Classification of Islamic Geometric Patterns

l classification of Islamic Geometric Patterns (IGP) based on the Minimum Number Geometric Shape (LGS) used in the construction of the symmetric elements. The eating patterns by their symmetric groups is in many cases not appropriate or try group theories do not relate to the way of thinking of the artisans involved, and ttributes of the unit pattern and has focused exclusively on arrangement f...

Fractal Islamic Geometric Patterns Based on Arrangements of {n/2} Stars

Within traditional Islamic geometric design, there is a small but distinct subset of patterns which incorporate notions of self-similarity. Such patterns typically use exactly two overlapping levels of self-similarity, with each level comprising similar motifs at two different, related scales. Recently I have constructed a large number of fractal Islamic patterns that pursue a different notion ...

Building an Islamic Financial Information System Based on Policy Managements

From Geometric Transformations to Auxetic Metamaterials

The paper introduces a new alternative towards fabrication of auxetic metamaterials (materials with negative Poisson’s ratio) controlled by geometric transformations. These transformations are derived from the theory of small (infinitesimal) elastic deformation superimposed on finite elastic deformations. By using this theory, a cylindrical region filled with initial deformed foam is transforme...