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 a 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

1. Does anyone have access to Shibboleth and OpenAccess? These are needed in conjunction with my studies.
2. Christie's auction house recently held a sale of Escher papers concerning Gerd Arntz correspondence. Does anyone know who now holds this collection?
3. Is anyone planning on a visit to Stanford University? The is much in the Martin Gardner archive that I would like to see.

Latest additions/revisions first. A complete list is on the 'update history' page. Minor updates are ignored:


9 June. Cairo Tiling - Miscellaneous. Kimono by Moriguchi Kunihiko
24 May. Cluster Puzzles - Mary Porter text and picture added

22 May. Cluster Puzzles - Hugh Jones text and picture added
16 May. Parquet Deformations - Werner Van Hoeydonck text and picture added
15 May. Cluster Puzzles - Ann S. Trageser  text and picture added
10 May. Cluster Puzzles - Mme. Trias and Angel Lescarboura text and picture added

21 April. Cluster Puzzles - Arnold G. Dana text and picture added

11 April. Cluster Puzzles - Elspeth Eagle-Clarke text updated and essentially entirely re-written
6 April. Cluster Puzzles
Mark Dixon Dodd biographical detail and general updating added
4 April. 
M. C. Escher - Newspapers. Major update, with Netherlands references
30 March. Cluster Puzzles - chronological listing updated

29 March. Cluster Puzzles - An en masse patent listing added

21 March. Tessellation Artists. A new page, of a simple listing of the world's tessellation artists

20 March. Cairo Tiling - The first picture of the designer, Ramzy Omar!

Since 16 January 2017