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


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

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.

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

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

7 May 2015: M. C. Escher Cover Art. A major update to the initial instance of 25 February, with 48 new covers

25 February 2015: M. C. Escher Cover Art. A new page, with examples of Escher's artwork as cover art, to begin with, book and article covers

9 February 2015: Library - My library page, with its 'annual' yearly update, a little delayed this year....

1 February 2015: Cairo Tiling - First Photographs, the earliest confirmed instance yet, at the Galaa club in Heliopolis, of 1957!
29 January 2015: Cairo Tiling - First Photographs, the earliest confirmed instance yet, at Suez, of 1967!
14 January 2015: Cairo Tiling - Video. Footage of ex President Anwar Sadat with Cairo tiling, of 1981!
30 December 2014: Cairo Tiling - Notable Sightings - El Alamein War Museum updating, with John Gluth's details, of likely a 1992 installation
29 December 2014: Cluster puzzles - Commercial puzzles by Benho, Selecta and Shackman
24 December 2014: Pentagon Tilings 2 - Bailey 10-13, Pentagon workhouse
16 December 2014: Pavement Tessellations - Morocco, Marrakech
12 December 2014: Pavement Tessellations - Nigeria, Lagos
7 November 2014: Pentagon Tilings 2 - Pentagon tilings inspired by H. C. Moore
3 October 2014: Architecture - Crystal Orange Hotel, Beijing, China
19 September 2014: Cairo Tiling - Architecture, Clarion Hotel The Edge pictures
18 September 2014: Cluster Puzzles - Satirical Maps
17 September 2014: Best in Class - A wholesale revision, with a rewrite of the text and many more categories than previously, and links to pictures
16 September 2014: Cluster Puzzles - Jack Zylkin
9 September 2014: Cluster Puzzles - Shigeru Kobayshi
14 July 2014: Cluster Puzzles - 'Tozzwoods' added
10 July 2014: Cairo Tiling - References - Added references by Moore (1909, the earliest yet!) and Odier
9 July 2014: Cluster Puzzles - Added patent pictures of Clerc, Godinet, Graham and Stevens
26 June 2014: Cluster Puzzles - 'Fat Punk Studio' added