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

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. 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.

New (latest additions/revisions first. A complete list is on the 'update history' page):


19 January. Pavement Tessellation, Azerbaijan, by Huseyneli Huseyneliev

16 January. Where Is... -  'Croton' added

12 January. Cluster Puzzles - Craig Vesor pictures and text added

11 January. Cluster Puzzles - Art For Kids text added

10 January. Cluster Puzzles - Geni Funware puzzle added

9 January. Cluster Puzzles - Hayley Ho and Thomas Guest text and pictures added

6 January. My Library - Annual update

2 January. Cluster Puzzles -  Rob Reger, 'Emily the Strange' text and pictures added

23 December. Cluster Puzzles - Dave Janelle, of Creative Craftshouse text minor revision, and update of format

22 December. Cluster Puzzles - Mirim Seo text added
20 December. Where Is... - Jane and Bill Leach added

19 December. Cluster Puzzles - Denitsa Krapova text and pictures added

14 December. Cluster Puzzles - Angiolo Logi entry completely revised, with substantial new text and pictures

2 December. Cluster Puzzles - Debi McGary text and pictures added

30 November. Parquet Deformation - A wholesale revision of the references, greatly expanded and revised
28 November. Cluster Puzzles - 
Michèle Wilson text and pictures added
2 November. Cluster Puzzles - John Wright Company text updated in the light of finding the designer, Barbara Stork
28 October. Where Is.... A new page, on trying to find tessellation people
19 October. Cluster Puzzles - Francesc Crous
 and Alessandro Calogero text and pictures added

12 October. Cluster Puzzles - Johan Olin text and pictures added

4 October. Cluster Puzzles - Ray Delgadillo text and pictures added

29 September. Cluster Puzzles - Anna Powell text and pictures added
28 September. Pavement Tessellations - Zakopane, Poland. More pictures and details as to the exact place
8 September. Cairo Tiling - Miscellany. Bretzel Love Cafe chair added
18 August. Cluster Puzzles - Yana Skaler added
1 August. Pavement Tessellations. Heidelberg
6 June. Cairo Tiling - The designer and a patent has been found! An 'Engineer, Brigadier Ramzi Omar'. More details to follow

Since 16 January 2017