Additions

Additions in Version 22

The major addition for this release is a document by Tony Lee which attempts to locate the sources of Bourgoin's drawings. This is to be found here, and will be updated should more information become available.
Work has been uptaken on some of Bourgoin's drawings which has found potential inaccuracies. An example is his plate 129. His original version is Bourgoin, Plate 129 (uncorrected) and the new version is Bourgoin, Plate 129 (corrected).
41 new patterns are added - thanks to Dick Osseman and Richard Henry for several of these.
The internal documentation, which often includes a photo, now covers around half of the Islamic tilings.
The graphic software has been enhanced to allow a polygon to have two vertices to coincide - hence surrounding another polygon. For examples, see:
This site is now being archived by the British Library.

Additions in Version 21

We now have over 1,000 Islamic patterns! A reasonable guess is that there are around 2,000 in total, so any assistance in finding the next 1,000 would be appreciated.
A new facility is now available for producing a border which is really needed to capture the design of patterns to fit into a specific area. See:
A complex decagonal pattern: Mashhad - Gowhar Shad mosque, and several more:
One pattern was not produced in PDF since it has apparently conflicting properties. Tony Lee has now produced a high-quality version, see: The principle iwan of the Friday mosque in Isfahan.
Many more patterns now have supporting documentation which is not on the web but can be requested from me.

Additions in Version 20

Improvements have been made to the documentation software which now shows an extra graphic with the angles and lengths shown. Note that the angles are shown as a multiple of a specific value, rather than in degrees, since this works better in general. The example is available.
A pattern from a minbar now at the V&A, see. Oddly, the V&A does not record the origin of this minbar.
13 patterns from [paccard], for some, see Paccard, Vol 2, page 119, Paccard, Vol 2, page 144, Paccard, page 150.
A modern pattern from San Francisco, which is surely of Moroccan design, like the ones from Paccard.
A Floor, The Holy Sepulchre. The only photo is in black and white, so the colour is an invention.
One unresolved problem is the source of Bourgoin's drawings. For Plate 75, we now have two versions: a copy of his original Bourgoin, Plate 75; and a second version based upon what we think is the actual source of the pattern, see. The metrics of this pattern, like many of the more complex ones, is due to Tony Lee.
Arrangements have been made for this site to be archived by the British Library. This would not include the active components (the HTML forms for searching), but would include the tree search which implies everything can be found, albeit slowly.

Additions in Version 19

25 new patterns from Tony Lee from a variety of sources, see Portal of Masjid-i Jami (1315-16), Madar-i Shah madrasa. Ceramic mosaic, mausoleum of Khudavend in Nigde, Turkey.
Several new patterns from [rempel], see Rempel, Figure 92, Rempel, Figure 103, Rempel, Figure 206.
Several new patterns from Fathepur Sikri, see Fathpur Sikri, Large Baths - interior wall, Fathpur Sikri, Salim Chishti's tomb.
An attractive decagonal pattern, see Tomb of Itimud ad-Daula, Agra,
Some new patterns from the V&A, see Akber, V&A freehand sketch, Nasrid box.
Further progress has been made in improving the internal documentation on each pattern. This documentation is not on the web site, but can be requested from me. The example is available, includes checks on the encoding which in this case, shows that an arbitrary value is used (0.8).

Additions in Version 18

Several more patterns from the Alhambra, see Alhambra, Sala de los Ajimeces, high stucco frieze, Alhambra, ceiling panel, Mexuar/Arrayanes corridor, Alhambra, Patio de los Arrayanes, high stucco frieze in North Gallery, Alhambra, Royal Bath House, high stucco frieze, Alhambra, Mexuar Hall, high stucco frieze. We are unclear just how many geometric patterns there are in the Alhambra!
A significant bug has been corrected - all the links in one context to the gold star patterns were in the wrong case which caused an error on the Linusx host.
Some improvements have been made in the way that the graphics are produced. This means that the internal documentation shows how to produce such a pattern. There is no plan to put this documentation on this web site, but I can email details of a specific pattern on request. An example is available, see.
Several interesting patterns have been added from Daud Sutton's book, see Sokullu Mehmet Pasha mosque, Christian quarter of Damascus.
Several more patterns from the V&A:, see Fritware from Fathbad, Tile from Netherlands, Toledo tile, 1475-1525.
Two interesting patterns from Morocco: Chellah, tomb pavement, Chellah, tomb pavement.

Additions in Version 17

Use is now being made of the V&A web site for photos of object they have. For examples see: Toledo tile, V&A, Italian pavement, V&A, Tile Mosaic, V&A.
The construction software has been enhanced to display tilings with coloured interlacing. See: Tilings with coloured interlacing.
It has been determined that only a small number of tilings are not constructible with straightedge and compass. See: Tilings not constructible by straightedge and compass. For technical details, see.
Some new tilings have been added: Akbar's mausoleum, National Library of Cairo, Baghdad - Smithsonian Institution, Washington DC, Brick panel from Madrasat el-Mustansirya, Baghdad, Minbar of the al-Aqsa Mosque.
The file alhambra.pdf is not longer available on the web site. This is because it was no longer consistent with the rest of the site, and was not worth updating. Email me if you wish a copy.
The machine-generated photos of gold-star patterns now appear within an HTML file for clarity. This implies that one cannot the view images without knowing what they are.

Additions in Version 16

The entry page display has been changed into a specific collection of Gold-star patterns that are all Islamic having authentic colours and also having a mathematical structure. These patterns can be located using the comprehensive search tool. These patterns are all available in JPG landscape format.
Further patterns are available from the Alhambra, an example being: The Alhambra.
Further patterns are available from Bourgoin: Bourgoin, Plate 36, Bourgoin, Plate 78, Bourgoin, Plate 123, Bourgoin, Plate 152, Bourgoin, Plate VI (top). Bourgoin, Plate IX (bottom left). Bourgoin, Plate IX (bottom right).
Further patterns from Cairo: Qijmas al-Ishaqi mosque. Jamali Yusuf mosque. Imam al-Shafi'i Mosque.
Two patterns from Paccard: Vol1, page 245. Rabat, Royal Palace.

Additions in Version 15

The entry page to tilingsearch.org now consists of a slideshow of attractive patterns that are available from the site. See. These patterns are in JPG format and therefore not as clear at the PDF versions on the main site.
An Iranian publication has been analysed further contributing a number of new patterns: Isfahan Chahar Bagh madraseh, Isfahan - Nim Avard madraseh, Tehran - Golestan Palace, Torbat-e Jam - Shrine of Sheikh Jami, Shiraz - Delgosha garden, Kharraqan tomb tower (1093), Qom, Atabeki courtyard.
In the same Iranian publication there is a pattern with an unusual symmetry group: 3*3 (p31m), see: Jami mosque, Yazd.
Four zellij patterns from Fez: Fez 1, Fez 2, Fez 3, Fez 4.
The page giving statistics of the tilings now has hypertext links to a single instance of all the properties listed. This can be used to browse the site, see.

Additions in Version 14

A special collection of ten examples of tilings of a square by similar triangles, see.
Tony Lee, who has contributed significantly to this site, has provided a scanned copy of one of his notebooks, see.
John Sharp brought to my attention the following: [pajares]. This shows that many simple peometric patterns were used in Roman times, see: Roman Mosaic, Italica, Spain.
The presentation of some angles has been improved. In cases in which the angles is not a multiple of 0.1 degrees, it is now given as a fraction of π, see: Bourgoin, Plate 168.
Several tilings have been added, some examples are: Tabernacoletto of San Clemente, Cloister of San Giovanni in Laterno, Sultan Barsbay Funerary Complex, Isfahan - The Imam Gate.
The version of a published paper has been added to this site. this paper analyses the frequency of the 17 planar symmetry groups in Islamic patterns, see.

Additions in Version 13

A list of Two-uniform tilings with regular polygons and star polygons and been added from Joseph Myers, see. (His paper is at). Also added are some related tilings which were in [wich2].
Several more tilings from the Alhambra in an attempt to complete the tilings available from that site.
Some examples are: The Alhambra, Salon de Comares, The Alhambra, Salon de Comares, The Alhambra, The Alhambra, El Mexuar.

Additions in Version 12

More Islamic patterns have been encoded, mainly from David Wade's web site.
Some examples are: Egyptian panel, Masjid-i-Jami, Isfahan, Moulay Hafid Palace, Tangier.
A mathematical set of tilings are available which shows the distribution of primes of some Unique Factorization Domains. See.
A new method of handling tiling patterns has been added in which a high-quality graphic is not available. This may be because:
1. The pattern contains curves: Bourgoin, Plate 24
2. The pattern has a tile with a hole: Bourgoin, Plate 86
3. A line is not a boundary of a tile: Bourgoin, Plate 101
4. The tiling has no clear mathematical structure: The principle iwan of the Friday mosque in Isfahan
We have tried to identify the position in the Alhambra of relevant tiling patterns. If anybody has Alhambra photos which we can use to check our material, please contact us.
Small collections of tilings are introduced so as to make it easier to locate related tilings. See.

Additions in Version 11

Twenty new tilings have been added by encoding photographs from David Wade's web site.
Some examples are: Madrassa of Sultan Sha'ban, Cairo, Madrassa-yi-Madar-i-Shah, Isfahan, Alhambra, Granada, Mosque of Sunqur Bek, Nigde.
Eight new tilings from the Alhambra taken from Photographs send to the author by Nick Crossling.
Some examples are: La Sala de Dos Hermanas, Alhambra, Hall of Two Sisters, Alhambra, Hall of Two Sisters, Alhambra.
It is often the case that a specific tiling comes from a context in which there is little or no colour. Examples are window grills and plaster work. When the graphic is produced here, colour is added, since it enhances the visual impact substantially. Rather than attempt any realistic presentation, a style which colours similar shaped polygons in the same light colour and uses a stone mullion effect for the lines seems best.
For some examples, see: Window grill, Shahr Kord, Iran, Madrasa and jhnaga of al-Zahr Barquq, Mosque of Suleymaniye.
The paper on the Alhambra patterns has been revised since Version 10 was released, see PDF. It will not be revised for each release.

Additions in Version 10

The provision of a facility to display 20 patterns selected at random. This provides the simplest method of browsing the collection. (See the home page.)
A slideshow which displays a carefully selected set of patterns and shows how of find other similar ones. For the details, see..
Perfect colouring This is a mathematical concept applying to the tiling of square, hexagons and triangles. For the details, see..
A few more patterns from Bourgoin which are trigonometrically challenging from Tony Lee, see: Bourgoin, Plate 127, Bourgoin, Plate 128, Bourgoin, Plate 132, and two patterns related to Bourgoin ones: Louvre pattern, like Bourgoin, Plate 125 and Alcazar pattern like Bourgoin, Plate 129.
A number of simpler patterns for which a photograph is available are now available. Some of the striking ones are: Bou Inaniya Medersa/Mosque, Meknes, Tomb of Moulay Ishmael, Meknes, Bahia Palace, Marrakesh, Tomb of Moulay Ishmael, Meknes, Sakkala, Tetouan and Alcazar, Seville.

Additions in Version 9

Links to Photographs. The most important addition is the inclusion of links to photographs of Islamic patterns on David Wade's web site. 160 patterns have such links to a total of 242 photographs.
One can now search for a pattern which has a photographic link. Most such patterns have just one link, see some examples: Abas and Salman, Plate 3 (a), Mirza Akber, Leather Roll(3), Bourgoin, Plate 91. Note that there is not always an exact match between the photo and the pattern.
Sometimes there are several contrasting photos: Bourgoin, Plate 42, Bourgoin, Plate 175, El-Said and Parman, Figure 32.
David Wade's site has many new patterns which will be added to this system in due course.
Some new examples of the tiling of rectangles with polyominoes have been added from Erich Friedman's web site. See: 5-omino, order 36, [9 by 20], 5-omino, order 81, [9 by 45], 5-omino, order 91, [13 by 35], 4-omino, order 6, [3 by 8], 5-omino, order 21, [7 by 15].
A few patterns from Bourgoin which are trigonometrically challenging from Tony Lee, see: Bourgoin, Plate 107, Bourgoin, Plate 116, version A, Mosque of al-Ghouri, Minbar (essentially a version of Plate 116), Bourgoin, Plate 125.
A number of changes have been made to the presentation, including removing some of the details of the references which now appear as links to the references file.

Additions in Version 8

Tiling rectangles with polyominoes. This is a well-known combinatorial problem. The rectangles are presented in isolation rather than being repeated. For the details, see..
A special type of polyomino is defined in [wich3]. Software to generate a large number of such tilings using these polyominoes has been produced, but only the original example appears here, see: YEMEN.
A class of Islamic tiling called Type I has been added from Tony Lee, see FIG4, FIG5, FIG8, FIG10, F6.
Nine more Islamic patterns from Bourgoin. See: P108, P109, P112, P113, P165, P187, P188B, P189, P190.
Tony Lee has provided a list of the possible sources of the Bourgoin patterns which has now been added as a comment against each one (for which such information is available).
A nice spiral from Andrew Glassner has been added: here.
A number of tilings from the major work of Paccard have been added (more to come...), see: P197, P187D4, P181D3, P200, P202, P210TR, P211TR, P214T,

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