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. 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 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): 17 May 2012: Houndstooth - An examination of the world's most popular tessellation 3 May 2012: Superlatives 12 April 2012: My Library 6 April 2012: Interview with... Alain Nicolas 6 April 2012: Cairo Tiling - Acknowledgements 6 April 2012: Free-Plane Filling 22 March 2012: Interview with... Bruce Bilney 22 March 2012: Foreign Cairos - instances of the Cairo tiling outside of Egypt 2 March 2012: Pavement Tessellations - Tessellations as seen as pavements from around the world 27 January 2012: Cairo tiling - Further additions to 'Pictures of Sightings' 16 November 2011: Cairo Tiling - Confusion as to type of pentagon 1 November 2011: Escher pictures on front covers on books. A listing of Escher's prints and drawings on the front covers of (largely) non-mathematical books. Can you enlarge on this? 28 October 2011: Cairo Tiling - Pictures of Sightings. A rearrangement and addition of the pictures of the sightings as a single page. Previously, these were ordered as according to each distinct instance 7 October 2011: Cairo Tiling - Collinearity; analysis of the in situ tiles |
