Hyperbolic Islamic Patterns — A Beginning

INTERPOLATION BY HYPERBOLIC B-SPLINE FUNCTIONS

In this paper we present a new kind of B-splines, called hyperbolic B-splines generated over the space spanned by hyperbolic functions and we use it to interpolate an arbitrary function on a set of points. Numerical tests for illustrating hyperbolic B-spline are presented.

The Effect of Training on Attributional Patterns among Nursing Students of Islamic Azad University-Birjand Branch

Introduction: Considering the effect of the attributional pattern on the individuals' behavior and feelings, nursing instructors should alter undesirable attributions that make students irresponsible toward learning activities. The current study was aimed to investigate the effect of attribution training on the attributional pattern among nursing students of Islamic Azad University-Birjand Bran...

An Islamic Star Pattern Realized in the Hyperbolic Plane, Generated Using Custom Software Described

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 ...

Islamic star patterns from polygons in contact

We present a simple method for rendering Islamic star patterns based on Hankin’s “polygons-in-contact” technique. The method builds star patterns from a tiling of the plane and a small number of intuitive parameters. We show how this method can be adapted to construct Islamic designs reminiscent of Huff’s parquet deformations. Finally, we introduce a geometric transformation on tilings that exp...