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A 7-Fold System for Creating Islamic Geometric Patterns Part 2: Contemporary Expression
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bonner, Marc |
| Copyright Year | 2012 |
| Abstract | This paper is an abbreviated report on some two decades of research by the authors in the field of 7-fold Islamic geometric patterns. We have expanded the application of this design methodology beyond the historical 7-fold systematic practices identified in Part 1: finding a wide assortment of new polygonal sub-grid elements upon which pattern lines are prearranged. What is more, by applying the same basic methodologies used in the 5/10 System, the inherent proportionality of the 7/14 System allows for the creation of 7-fold quasi-crystalline patterns with inflation symmetry, 7-fold non-periodic designs, and 7-fold self-similar designs. This material demonstrates the remarkable flexibility of the 7/14 System of pattern generation, and is intended to open the doors of creative pursuit for others captivated by the beauty of these 7-fold patterns. The 7/14 System of geometric pattern generation has a significantly greater number of sub-grid elements than the 5/10 System [Figure 1]. This is a direct result of the greater number of heptagonal and tetradecagonal sides over those of the pentagon and decagon. Edge-to-edge arrangements of these sub-grid elements will create an infinite number of !"#$%&'(!!!"#!$%&!'&($!)*!*%+,#!*+-&!.&/.&*<0')$)&*!+(!*<8=6.)>!&'&-$*?!0#>!)#!$&.-*!+(!%+,!$%&3!0.&!<*&>5& Bridges 2012: Mathematics, Music, Art, Architecture, Culture |
| Starting Page | 149 |
| Ending Page | 156 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://archive.bridgesmathart.org/2012/bridges2012-149.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |