Hi, I’m David Bailey from Grimsby, England, with a keen interest in recreational mathematics, of a mostly geometrical nature, and more specifically of all aspects of tessellation. This includes both the mathematical side, with ‘pure’ tessellations, as well as Escher-like, with an approximate 50/50 split of interest. As well as a general overview of both aspects there are also ‘special case’ investigations, with ‘pure’ tessellations such as the Cairo tiling, Parquet Deformation, and houndstooth, and Escher-like, with my own (and others) Escher-like tessellations as well as numerous essays on Escher himself, and cluster puzzles. This website is thus dedicated to showing my own efforts and researches in the field.

Correspondence is welcomed: davidbailey500@googlemail.com

Follow me on Twitter! @tessellationfan

All images and text copyright David Bailey 11 September 2009


1. A Plea for an Arabic Speaker and Investigator

Although much has been achieved with the Cairo tiling investigation, there are still some aspects left unresolved, some, but not all, caused by my (and my English speaking investigators) lacking in Arabic language ability. In particular, one outstanding issue is that of finding the patent which surely exists (it is mentioned in an advert, seemingly registered under the name of the Nile Tile Company owned by Ibrahim Abdel Hafez, under number 451), and which will presumably show the exact geometry, which is unclear. From the pictures alone, it is not possible to be sure of this. Is there any reader here who is fluent in Arabic prepared to visit the Egypt Patent Office, at Kasr El Aini Street? Or perhaps interview Nadia Abdel Hafiz, his daughter, who now runs the company? If needs be, I am more than willing to pay someone here. Just name your price! Even if the outcome is negative, i.e. there is no patent, I can at least rest assured, and move on. You will still be paid! Or, determine the matter on their website. If it’s there, I cannot find it! That said, the patents seem to date only from 1970...


2. Password Access
Does anyone have access to: Project Muse, Shibboleth and OpenAccess log-ins and passwords? These are needed in conjunction with my studies. 

3. Journal Access
Does anyone have access to the following archives: Domus (an Italian journal), Mathematics Teaching magazine, 
Bloomberg Businessweek Magazine (a single article I want), and Vogue? Vogue is for my houndstooth investigations. Does anyone have any (institutional?) access? It costs a ridiculous $1575 (sic) for an individual!

4. Stanford University
Is anyone planning a visit to Stanford University? There is much in the Martin Gardner archive that I would like to see. But for a single request, in regards of my special interest in pentagonal tiling, I would very much like to see the contents of Box 33, Folders 8-12, and in particular papers by Marjorie Rice and R. B. Kershner. However, quite what the extent is here is unclear; possibly there is way too much material here to make ‘all’ available. In short, whatever you could make available to me, to whatever degree, I would be most grateful.
5. Escheriana
Does anyone have any Escheriana for sale, or of interest, or the Microfiches of all published work? Obviously, I am interested in seeing such matters.

Latest additions/revisions first. A complete list is on the 'update history' page. Minor (of a 'line or two') updates are ignored:

30 August. Parquet Deformations - Performing Arts Analogies. 
A new dedicated subpage, building upon an existing April 2021 essay solely on music analogies (on a generic Essay page) of which I have expanded the remit to include other performing arts, namely dance, poetry and theatre. 

27 August. Parquet Deformations - History. A new dedicated subpage, building upon a short piece on the home page (now removed) that broadly served, but nothing more.

24 August. Where Is.... James Travers entry updated with details by Maurice O'Reilly (family research) and Steve Kirby (obituary)

13 August. Parquet Deformations. Wrote a new, dedicated introduction, oddly lacking before, with the streamlining below in mind.

12 August. Parquet Deformations - Other People. A new dedicated subpage, with select material moved from home page. Plus, a general streamlining of home page thereof, as detailed on that page.

11 August. Cluster Puzzles - Dinosaurs. Demian Pedroza added to page.

10 August. Parquet Deformations - Beats to the Bar & Tempo. Basically an upgrade (due to shortcomings) to an existing Tempo page of 22 February, now deleted as of this upgrade (as detailed on the new page)

22 June. Parquet Deformations - 2-Dimensions.

14 June. Parquet Deformations - Interpolations.

4 June. Parquet Deformations - Linear Assemblies.

26 May. Parquet Deformations - Specific Transitions.

14 May. Parquet Deformations - Tutorial. A beginner's guide.

30 April. Home Page - Introductory text updated and revised down.

? April. Parquet Deformations - Essays. My thoughts on the subject.

4 March. Parquet Deformations - The Use of the Term. A listing in chronological order.

2 March. Cluster Puzzles. 'Unnamed Animal Puzzle' as sent by Carole Bersani added.

18 February (and ongoing). Parquet Deformations - David Bailey and Craig Kaplan (Dedicated pages on the main people in the field).

20 January. Parquet Deformations - People. An inventory of all people in the field.

22 January. Parquet Deformations - Inventory of Huff Archive at HfG, Ulm.


23 December. Parquet Deformations. Bibliography. A dedicated new page, building on the listing on the generic page.

9 December. Cairo Tiling - The Nile Co.

7 December. Cluster Puzzles, Themes - Polyominoes/Polyiamonds Animals (Release 1)

10 November. Cluster Puzzles, Themes - Transport (Release 1)

Since 16 January 2017