Next Generation of Star Patterns
Hadi Mansourifar, Weidong Shi

TL;DR
This paper introduces two innovative parametric methods for generating complex star patterns and filling gaps in tile operations, enabling the creation of infinite new patterns with adjustable parameters.
Contribution
The paper presents a novel concentric circle-based parametric approach and a tangent circle-based tiling method for generating diverse star patterns.
Findings
Generated a wide variety of star patterns with adjustable parameters
Demonstrated the use of tangent circles for efficient tiling and gap filling
Developed Android apps to implement the proposed methods
Abstract
In this paper we present two new ideas for generating star patterns and filling the gaps during the tile operation. Firstly, we introduce a novel parametric method based on concentric circles for generating stars and rosettes. Using proposed method, completely different stars and rosettes and a set of new and complex star patterns convert to each other only by changing nine parameters. Secondly, we demonstrate how three equal tangent circles can be used as a base for generating tile elements. For this reason a surrounded circle is created among tangent circles, which represents the gaps in hexagonal packing. Afterwards, we use our first idea for filling the tangent circles and surrounded circle. This parametric approach can be used for generating infinite new star patterns, which some of them will be presented in result section.Two Android apps of proposed method called Starking and…
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Taxonomy
TopicsQuasicrystal Structures and Properties · Cellular Automata and Applications · graph theory and CDMA systems
