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Hi, I’m David Bailey from Grimsby, England, with a keen interest in recreational mathematics, of a mostly geometrical nature, and more specifically of Escher-like tessellations along with their application to polyhedra. Additionally, I make the occasional foray into 'pure' tiling, such as pentagon tilings, and historical matters too, such as with the well-known 'Cairo tiling', 'cluster puzzles', 'houndstooth' tessellation and various Escher research. This website is thus dedicated to showing my own efforts in this field, along with some other aspects pertaining to the subject, such as various essays on tessellation, where I set my thoughts out, and are designed to be tutorial in form.

The tessellations shown are mostly of what I term as of final, 'finished' examples, designed, drawn and coloured (generally of watercolour) by hand, and not a computer. These are essentially the product of a systematic study, which frequently belies various complexities that of necessity require a thorough approach. Also included are some that are best described as 'studies', of which, for various reasons, I have simply not found the time to complete as finished examples. These are thus simply denoted as ‘study’. Generally, but not always, the 'finished' and 'study' tessellations are accompanied by some explanatory text, whereby the various ‘intricacies’ behind the tessellation are discussed. In addition, each drawings colouration is discussed. The tessellations  are so placed into distinct groupings as according to their motif, i.e. of birds, fishes ... as appropriate, with any further subdivision, due to there being so many examples of a specific motif (primarily of the bird examples) are thus put into arbitrary subcategories for the sake of general order.

Correspondence is welcomed: davidbailey500@googlemail.com

All images and text copyright David Bailey 11 September 2009

Requests
1. Does anyone have access to the following journals, which are needed in conjunction with my studies:
 Kristallografiya (in Russian) or Soviet Physics, Crystallography (English Translation)
Zeitschrift für Kristallographie
2. Is anyone planning a visit to the Martin Gardner archive held at Stanford University, California, US? This contains much material, particularly of the Escher aspect that I would dearly like to see.
3. Christie's auction house recently held a sale of Escher papers concerning Gerd Arntz correspondence. Does anyone know who now holds this collection?

New (latest additions/revisions first. A complete list is on the 'update history' page):
19 August 2015: Pavement Tessellations – Iceland
5 August 2015: M. C. Escher Cover Art. Conclusion of 130 new covers added, text revised and expanded
8 July 2015: Cluster Puzzles. Mark D. Dodd text
1 July 2015: Cluster Puzzles. Angiolo Logi text
18 June 2015: Cluster Puzzles - A general reorganisation with a chronological ordering and updating
17 June 2015: Cairo Tiling - Miscellany. Penta-graphene discovery

2 September 2015: Found a high school resource for teens and adults to further their education online or use as free test preparation for the GED; their enrollment and entire course is free. For more info, visit http://www.fasthighschooldiplomaonline.com

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