Version 33 Newsletter


An analysis has been undertaken of all the irregular tiles used in all the patterns. From this information, it has been possible to locate duplicate patterns, which has not been possible until now.

Hence, some patterns have been removed from the system. If you want to locate a patterns that is no longer in the system, please email us.

Variant patterns

It is sometimes the case that several small variants of the same general pattern appears. Also, in a few cases, the same logical pattern appears with very different styles of presentation. To avoid having too many of such small differences, several variants are grouped together. The comprehensive search just gives the main variant, but this main one is linked with the other related ones. Some examples are this are: Only some small variations in the design of a pattern can be handled as Variants in the system. An example of small variations which remain can be seen here: Escher's Alhambra tiling pattern.

All of the main variants are listed here: Patterns with variants.

Sets of patterns using the same tiles

Another consequence of the detailed analysis of all the tiles used on the web site, is that it has been possible to locate patterns which use the same set of tiles. Such patterns are linked together, for instance the two patterns Roman mosaic, Sens and Field, Churches, page 24. Note also that the number of patterns linked together is recorded.

Visiting Paris?

If you are reading this and are likely to visit Paris, then there are two items for study:
  1. David Wade's photo from the Louvre has two problems to resolve: the full reference to the Louvre collection is not given, and the photo is not taken straight-on.
  2. Bourgoin's notebooks may contain information on the sources of his patterns. We think it should be possible to at least find out what is available. He certainly produced some notebooks. See: List of Bourgoin's works.


In 1978, Tony Lee inspected a book at SOAS which had some interesting patterns. This book has been examined in more detail which has produced over 30 new patterns which can be found by using the search for the publication [shafai]. The book is written in Persian so we are very grateful to Antony Wynn who translated the captions to the illustrations for this web site.


This tool allows one to modify the PDF graphics available from this site. Of course, such modifications does not change the PDF on the web site. The Open Clip Art Library has an example of the tiles used in Moroccan Islamic patterns which can be used to create many different patterns.

Non-mathematical patterns

Some patterns cannot easily be represented in a mathematical form used for almost all the patterns on this web site. An example of such a pattern is Bourgoin, Plate 134. Construction of this pattern is shown using Inkscape It is not quite clear how these patterns should be handled, and suggestions would be welcome.

Change of direction

It does appear that the sources of new authentic Islamic patterns is drying up a bit (with the exception of the Persian book noted above). Hence it is likely that changes to this web site will mainly be undertaking more analysis of the existing material, rather than many more patterns.

Want to help?

There are always some activities which could be undertaken to improve this web site. Please email us if you are interested.
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