Introducing the Use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns
Inhaltsverzeichnis
Reference
Stanley Spencer: Introducing the Use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns. In: Bridges 2012. Pages 337–344
DOI
Abstract
The patterns produced in this work use the basic geometry of the circle, regular polygon and similar triangles as studied in most schools. In an attempt to focus on the artistic application the mathematics will be stated and not explained in any great detail. This introduction describes the ideas and general approach. I aim to explore the symmetries of groups of polygons from an equilateral triangle up to the regular 36 sided polygon. The remainder of the paper illustrates some of the progress made to date with examples of the artwork. I have chosen a theme of early English Celtic Art as a style of decoration.
Extended Abstract
Bibtex
Used References
[1] Spencer S J, The Tangram Route to Infinity ISBN 141202917-1
[2] Spencer S J, Alhambra. Bridges 2003 Proceedings ISBN 84-930669-1-5 Page 291
[3] Spencer S J, Kansas. Bridges 2004 Proceedings ISBN 84-930669-5-7 page 71
[4] Spencer S J,Banff. Bridges 2005 Proceedings ISBN 84-930669-6-5 Page 31
[5] Spencer S J, London. Bridges 2006 Proceedings ISBN 84-930669-1-5 page 73
[6] Wells David, The Penguin Dictionary of Curious and interesting Geometry ISBN0-14-011813-6
[7] http://en.wikipedia.org/wiki/Inscribed_angle accessed 18th April 2012
[8] Macdonald Fiona, Step into the Celtic World ISBN0-7548-0215-9
[9] Megaw Ruth and Vincent, Early Celtic Art ISBN0-85263-679-2
[10] The Pitkin Guide, The Celts ISBN1-84165-104-4
[11] Stead Ian, Celtic Art ISBN0-7141-2117-7
Links
Full Text
http://archive.bridgesmathart.org/2012/bridges2012-337.pdf
