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 most 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 JSTOR, Project Muse, Shibboleth and OpenAccess log-ins and passwords? These are needed in conjunction with my studies.
2. Christie's Amsterdam auction house in 2012 held a sale of Escher and Gerd Arntz correspondence. Does anyone know who now holds this collection?
3. Is anyone planning a visit to Stanford University? There is much in the Martin Gardner archive that I would like to see.
4. Does anyone have any Escheriana for sale, or of interest? Obviously, I am interested in such matters.
5. Does anyone have any (institutional?) access to the Vogue fashion archive? It costs a ridiculous $1575!

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


16 January Houndstooth 'Definitions'. New page added
15 January. Houndstooth. Les Pieds de Poule text and imagery added.
14 January. Houndstooth. Hazy Osterwald text and image added
11 January. Houndstooth. Konrad Adenauer text and imagery added
10 January. Houndstooth. Inuk man in a houndstooth parka text and image added
9 January. Houndstooth. American Civil War entry and image added
8 January. My Library, annual update, of three sections; books, articles and 'all else'

18 December. Houndstooth. Olympus Camera E-3 sensor array added

17 December. Houndstooth. Swagger Suits and coats from Australia added

13 December. Houndstooth. Houndstooth/Shepherd’s Check Confusion and Uncertainty text added

5 December. Houndstooth. A new subpage, 'Web Pages of Interest'

4 December. Houndstooth. The 1800s Speculations test and picture added

19 November. Houndstooth. David Jones text expanded

15 November. Houndstooth. Newspaper references added

14 November. Where Is ... Priscilla Chung added

6 November. Houndstooth. A major update to the existing page, with much new detail

9 October. Precursors to Escher - a new page

25 September. Parquet Deformations - Daniel Piker detailed text added

25 September. Parquet Deformations - John Sharp detailed text added

24 September. Parquet Deformations - David Oleson detailed text added

20 September. Parquet Deformations - Edmund Harriss detailed text added

12 September. Parquet Deformations - Werner Van Hoeydonck detailed text added

11 September. Parquet Deformations - Tuğrul Yazar detailed text added 

7 September. Parquet Deformations - Craig Kaplan detailed text and images added

31 August. Parquet Deformations - Alvy Ray Smith and Norman Courtney detailed text and image added

27 August. Parquet Deformations - Mamoun Sakkal detailed text and image added

7 August. Cairo Tiling, Architecture - the Netherlands, Strawinskylaan bicycle park added

17 July. Cairo Tiling, Miscellaneous - Crowne Plaza Hotel, Den Haag, The Netherlands picture added  

12 June. Cairo Tiling, Architecture - Hørsholm Town Centre, Denmark added

8 June. Cairo Tiling, Architecture - Links to Hohenems, Austria added

6 June. Pavement Tessellations - Links to Armenia and Kyrgyzstan added

30 May. M. C. Escher - Apparel. Vera Mont, Paris added

3 April. Cairo Tiling, Miscellaneous - Ron Resch entry updated

29 March. Where Is ... James Travers added

28 February. Where Is ... A. E. Hill added

30 January. M. C. Escher - Apparel. Boxelder Inc., ties and Bill Clinton added
5 January. My Library, annual update, now split into three sections; books, articles and 'all else'

3 January. Cairo Tiling, Miscellaneous - Escher-like jigsaw puzzle of fish, by Angie Leslie, US

Since 16 January 2017