creates quasiperiodic tilings with ten-fold rotational symmetry by converting an infinite Penrose tiling, generated by de Bruijn’s method, into a tiling
with decagons, hexagons, and bowties decorated with the girih strapwork found on many designs in Islamic art.
- Click image for options.
- Hit F to enter full screen mode.
- Hit F again (or ESC) to exit full screen mode.
- Hit R to redraw.
- Hit the SPACE BAR to stop/start automatic scrolling.
- Hit PAGE UP or PAGE DOWN to scroll a full page.
- Hit UP ARROW or DOWN ARROW to scroll a tenth of a page.
Each time it is redrawn, the applet randomly chooses:
- between a view that includes the tiles, and one that shows only the strapwork;
- between a tiling that includes decagons, and one that uses only hexagons and bowties;
- between a range of possible scales for the tiles.
References:
- “Decagonal and Quasi-crystalline Tilings in Medieval Islamic Architecture” by Peter J. Lu and Paul J. Steinhardt, Science 315, 1106 (2007).
This paper can be downloaded from here.
- “The search for quasi-periodicity in Islamic 5-fold ornament” by Peter R. Cromwell, Math. Intelligencer 31 (2009), 36–56.
Applets Gallery / Girih Scroll / created Friday, 23 October 2009
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Copyright © Greg Egan, 2009. All rights reserved.
