Geometry in Umayyad and Abbasid Art

Illumination and Geometry in Islamic Art

Can Geometry Create Art?

The work of M.C. Escher shows that the best artists can raise to an admirable degree of perfection some simple geometric facts. This talk, makes a journey into planar and three dimensional theory and shows geometric optimization problems where the theory alone provides the aesthetically pleasing solutions.

The proportion of knowledge and power in the Umayyad period: Umayyad cultural policies against Shiites

Knowledge production at any moment in history is the result of the powerful historical agent’s role. Therefore, considering the proportion of knowledge and power would have a fundamental significance in the historical period’s discourse atmosphere recognition. According to the assumption that knowledge implies everything that users of a community deem as knowledge, this article considers the pr...

State of the Art in Geometry Compression

Very large 3D models documenting architectural designs, heritage monuments, power plants and mechanical CAD designs are being increasingly deployed in various applications involving interactive visualization and network-based access. More often than not, the complexity of these 3D models far exceeds the limits of what can be quickly downloaded at popular connection speeds and what can be easily...

Ray-tracing and Interferometry in Schwarzschild Geometry

Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...