Navigation

Home

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, and historical matters too, such as with the well-known 'Cairo tiling' and the 'houndstooth' tessellation. 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.

At long last, the site was updated and rebuilt 11 September 2009, the first update since November 2005. Previously, the site was somewhat awkward to update (hence the hiatus), but with the advent of Google sites (which I wholeheartedly recommend), updating is now a breeze! So, look forward to much more to come, at regular intervals. 

Correspondence is welcomed: davidbailey500@googlemail.com

All images and text copyright David Bailey 11 September 2009


Request
Can anyone supply me with any of the following articles, which are needed in conjunction with my studies:

Pólya, G. "Über die Analogie der Kristallsymmetrie in der Ebene. Zeitschrift für Kristallographie 60 (1924): 278-282.

Niggli, P. "Die Flachensymmetrien homogener Diskontinuen." Zeitschrift für Kristallographie 60 (1924): 283-298.

Niggli, P. "Die topologische Strukturanalyse I." Zeitschrift für Kristallographie 65 (1927): 391-415.

Niggli, P. "Die topologische Strukturanalyse II." Zeitschrift für Kristallographie 68 (1928): 404-466.

Laves, F. "Ebenenteilung in Wirkungsbereiche." Zeitschrift für Kristallographie 76 (1931): 277-284.

Laves, F. "Ebenenteilung und Koordinationszahl." Zeitschrift für Kristallographie 78 (1931): 208-241.

Heesch, H. "Über topologisch gleichwertige Kristallbindungen." Zeitschrift für Kristallographie 84 (1933): 399-407.

 

New (latest additions/revisions first. A complete list is on the 'update history' page):
 
7 May 2013: Cairo tiling - John Willson reference added
 
13 April 2013: Cairo tiling - New first instance in print, in Cairo, The Great Cities, of 1980 (predating a 1987 instance)
 
4 March 2013: Cairo tiling - New references: C. Dudley Langford and T. Bakos references in The Mathematical Gazette of 1956 and 1958 

 

12 February 2013 - Pavement tessellations from Thailand
 
11 February 2012 - Cairo tiling - Aesthetic Cairos - observation on 'average' pentagon
 
8 February 2013 Cairo Tiling - Modern-day Furniture
 
28 January 2013: Cairo Tiling - Revision and expansion of 'Requests and Questions' page 
 
25 January 2013: Cairo Tiling - Revision of 'Define a Cairo-type Tiling'
 
14 January 2013: Cairo Tiling - Home page revised and expanded
 
7 January 2013: Cairo Tiling - Martin Gardner Mystery - Gardner's enigmatic detail
 
3 January 2013: Cairo Tiling - Flooring - first instance found as a flooring, possibly of 1950s
 
14 December 2012: Cairo Tiling: References - General upgrading of the page
 
14 December 2012. Cairo Tiling: Notable sightings - American University in Cairo. Strong anecdotal evidence of a 1966 dating, at least
 
7 December 2012: Cairo Tiling: Videos, in which the full extent of the paving is shown to better effect than with photographs
 
28 November 2012: Cairo Tiling: Notable Sightings - El Alamein War Museum. A dedicated page, enlarged and revised from a page of 'sightings outside of Cairo'.
 
 
21 November 2012: Pavement pictures from Netherlands
 

 
Comments