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. Is anyone planning a visit to Stanford University? There is much in the Martin Gardner archive that I would like to see.
3. Does anyone have any Escheriana for sale, or of interest? Obviously, I am interested in such matters.
4. Does anyone have any (institutional?) access to the Vogue fashion archive (for my houndstooth investigations)? It costs a ridiculous $1575 (sic) for an individual!

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


9 May. Parquet Deformation. Douglas Blumeyer text and images added

7 May. Where is... Thomas E. Foster relatives added

6 May. Precursors to Escher.  Hisui Sugiura text and image added

25 April. Bowtie. A new page, on historical instances of the 'bowtie' tiling

11 April. Cairo Tiling - As Architecture. The Ismaili Centre, London, text and additional image added

15 March. Cairo Tiling - Architecture. Australia, Studio505 added

12 March. Cairo Tiling - Architecture. One Smithfield building, Stoke, UK, text and imagery added

6 March. Houndstooth. History page now considered 'polished' if not complete state, or at least not left obviously unfinished

Since 16 January 2017