 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 Haag, F. "Die regelmässigen Planteilungen." Zeitschrift für Kristallographie 49 (1911): 360-369. Haag, F. "Die regelmässigen Planteilungen und Punktsysteme." Zeitschrift für Kristallographie 58 (1923): 478-488. 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. Haag, F. "Die Planigone von Fedorow." Zeitschrift für Kristallographie 63 (1926): 179-186. 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): 27 January 2012: Further additions to Cairo page '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 18 September 2011: Cairo Tiling: Study 3, of generating Cairo-like tilings 12 September 2011: Cairo Tiling: Study 2, of generating Cairo-like tilings 9 September 2011: Cairo Tiling: Study 1, of generating Cairo-like tilings, and Cairo tiling page of references revised and expanded to a new page in its own right 8 September 2011: Revised and enlarged essay on 'The Tessellations of Seth Bareiss' 19 August 2011: Revised and enlarged essay on 'The Tessellations of Craig S. Kaplan' 15 March 2011: Cairo Tiling: Additions to the Cairo pentagon Page: 1. A personal account of the discovery. 2. Unanswered questions 14 November 2010: Cairo Tiling: Cairo pentagon update. The 'missing' pentagon picture is found! 10 October 2010: Request page updated and expanded to include J. L. Locher's bibliography 18 September 2010: Cairo Pentagon - Truly Named? Revised and expanded 15 September 2010: The Tessellations of Nick Scalfittura 30 August 2010: Book review: 2. Introduction to Tessellations. Revised and expanded 26 August 2010: Tutorials - Other People 9 August 2010: Essay 23 - Motif Resemblance to Polygon |