Activities for this chapter
- watch video on Islamic geometric patterns:
- article on muqarnas with beautiful pictures: http://makezine.com/2016/12/16/heirloom-tech-math-magic-muqarnas/
- muqarnas diy:
- an easier one:
- Peter Lu's lecture on his discovery of quasi-crystal tilings in Medieval Islamic architecture, not to be missed if you like art or math, discussion of his discovery starts at 10:52, before this he talks about the compass/straight edge copy and paste construction, then at 26:29 he starts to talk about recursive patterns:
- if you don't have time for the whole lecture, read this article: https://www.sciencenews.org/article/ancient-islamic-penrose-tiles-0, and this one--Medieval Islamic Architecture, Quasicrystals, and Penrose and Girih Tiles: http://archive.bridgesmathart.org/2008/bridges2008-297.pdf
- beautiful online magazine article on girih tiles: https://issuu.com/seventimestwo/docs/girih_manual
- girih tile recursion animation: http://www.gregegan.net/APPLETS/32/GirihAnimation.html, also this: https://vimeo.com/9827433
- Wikipedia page on history of Islamic interlace patterns: https://en.m.wikipedia.org/wiki/Islamic_interlace_patterns, the Wikipedia page on girih: https://en.m.wikipedia.org/wiki/Girih, Wikipedia page on girih tiles: https://en.m.wikipedia.org/wiki/Girih_tiles, pentagonal tilings from the Islamic world: http://www.quadibloc.com/math/pen05.htm, more tilings, same website: http://www.quadibloc.com/math/til02.htm, pentagonal tessellations, same website: http://www.quadibloc.com/math/penint.htm, Islamic Arts and Architecture article: http://islamic-arts.org/2012/tiles-of-infinity/
- downloadable SketchUp project with girih tiles: http://3dvinci.blogspot.com/2010/02/math-forum-project-girih-tiles.html?m=1, Java applet for Islamic star patterns: http://www.cgl.uwaterloo.ca/csk/washington/tile/islam/, website devoted to knot patterns of all kinds, including Islamic: http://gwydir.demon.co.uk/jo/knots/islamic.htm
- Penrose tiles video:
- American Mathematical Society articles on Penrose tilings: http://www.ams.org/samplings/feature-column/fcarc-ribbons, http://www.ams.org/samplings/feature-column/fcarc-penrose
- old Kickstarter campaign for Penrose tile refrigerator magnets: https://www.kickstarter.com/projects/1900960807/penrose-magnets-brighten-your-life-with-magnetic-a/description, Fractiles: http://www.fractiles.com/index.html
- website on tessellations: http://www.tessellations.org
- excellent tutorial on geometric design: https://design.tutsplus.com/series/geometric-design-for-beginners--cms-790, Pattern in Islamic Art website: http://patterninislamicart.com
- tulip period: https://en.wikipedia.org/wiki/Tulip_period
- the winged Hussars of Poland: https://en.wikipedia.org/wiki/Polish_hussars
What we did:
muqarnas:
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