When dealing with muqarnas, we are actually facing a design problem that consists of three main issues that has to be considered; first is the components, second is the assembly knowledge, and finally functional knowledge. In this context Design Procedures (DP) is presented as a methodology that enhances the design capability of a parametric model to perform design variations by using shapes as...

physical properties of four common iranian varieties of canola seeds (hyola, okapi, orient and slm) were evaluated as a function of their moisture contents. the average seed length and thousand seed mass varied linearly from 1.925 to 2.262 mm and from 3.06 to 4.84 g, respectively. the average diameter, geometric mean diameter, and sphericity varied non-linearly from 1.475 to 1.911 mm, 1.625 to ...

Intermetallic compounds based on hydrogen absorbing elements usually form stable hydrides. This is the case for PdZr2. Surprisingly, ZrPd2 does not absorb hydrogen although both compounds have the same crystal structure and satisfy the empirical geometrical criteria for hydride formation. Results of ab initio calculations reveal an unanticipated purely electronic origin. These results have impl...

Calculating the spinor connection in curved spacetime is a tiresome and fallible task. This pedagogical paper display an equivalent but simple form of the covariant derivative for both the Weyl spinor and the Dirac bispinor, which is more convenient for calculation, and its geometrical meanings are more distinct. PACS numbers: 02.30.Xx, 04.20.Cv

A set of modular 2-manifold surface components has been designed that allows the assembly of free-form geometrical sculptures representing single-sided or double-sided surfaces ranging from genus 2 to genus 22. The paper describes the interplay between parameters that define the overall symmetry of the whole structure and other parameters that define the geometry of the individual modular compo...

Many naturally occurring phenomena require theoretical treatment utilizing complex analysis by methods such as the Cauchy-Riemann relations using hyper-geometrical spaces which treat inherently nonlinear, non-dispersive, collective nonlocal resonant states of a quantum system, so as to be consistent with the nonlinearity inherent in General Relativity. Typical quantum approaches form linear app...

The onset of the back-firing instability is studied in a one-dimensional spatially extended and dissipative system, where propagating localized solutions become unstable. It corresponds to the emission in the tail of a solitary wave of a new wave propagating in the opposite direction. The transition is illustrated, in geometrical terms, using a model normal form equation. (c) 2004 American Inst...

We analyze patterns of remnant discrete symmetries that arise from U(1)N theories by spontaneous breaking. We describe a simple, geometrical way to understand these patterns and provide methods for identifying the discrete symmetries and bringing them to the simplest possible form. Applications in GUT and string model building are briefly discussed. Email: [email protected] Email: [email protected]...