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A platform for research: civil engineering, architecture and urbanism
Creating Constellation Patterns II: Enumeration
Constellation patterns are a family of Islamic geometric patterns that combine different stars in a tightly interconnected matrix with few subsidiary motifs. Traditional examples include combinations of stars that are incompatible with each other and/or with the geometry of the lattice structures that underlie all periodic patterns. In part i we introduced a systematic method based on circle packing to generate examples, recovering historic patterns and creating many new ones. The method was illustrated using simple arrangements of circles on a triangular template. This paper continues the investigation and enumerates more complex configurations of circles constructed along the boundary of a triangular template. Developing the candidates into repeat units that tile the plane produces 30 new periodic constellation patterns, including some with symmetry types rarely found in traditional star patterns.
Creating Constellation Patterns II: Enumeration
Constellation patterns are a family of Islamic geometric patterns that combine different stars in a tightly interconnected matrix with few subsidiary motifs. Traditional examples include combinations of stars that are incompatible with each other and/or with the geometry of the lattice structures that underlie all periodic patterns. In part i we introduced a systematic method based on circle packing to generate examples, recovering historic patterns and creating many new ones. The method was illustrated using simple arrangements of circles on a triangular template. This paper continues the investigation and enumerates more complex configurations of circles constructed along the boundary of a triangular template. Developing the candidates into repeat units that tile the plane produces 30 new periodic constellation patterns, including some with symmetry types rarely found in traditional star patterns.
Creating Constellation Patterns II: Enumeration
Nexus Netw J
Cromwell, Peter R. (author)
Nexus Network Journal ; 25 ; 579-605
2023-09-01
27 pages
Article (Journal)
Electronic Resource
English
Creating Constellation Patterns I: Composition
| Springer Verlag | 2023
Publisher Correction to: Creating Constellation Patterns I: Composition
| Springer Verlag | 2023
UB Braunschweig | 1.1846/47[?]
TIBKAT | 1.1846/47[?]
| Automotive engineering | 2006