Girih Tiles: Decagonal Geometry in Seljuq Architecture, Metropolitan Museum of Art lecture 

Çok havalı bu arada adam resmen camilerimizi gezerek matematiksel araştırma yürütmüş. Helal olsun. Loved the lecture, it helped me a lot on the research I was doing for a paper. Thank you.

Selçuk (Seljuck) Turks had played a very important role in medieval history, science and, as you've shown here, in the arts of islamic history. They fought with crusaders, they supported scientists and built huge observatories. They were also important for Anatolia. Anatolia lived its best times during Anatolian Seljuck's realm. Alas, they had to fight both Mongols and Crusaders at the same time and eventually, lost their power.

An amazing lecture on the subject. I use these as references for my work in Grasshopper 3D Islamic patterns. They gives a good insight on the generative geometry.

The first time I saw your solution with the five Girih tiles I was hooked. As I've delved into this wonderful world I've realized that it's actually very few Arabic patterns that can fully be described by the five Girih tiles. They are mostly smaller panels covering a limited number of tiles, as you've shown in this presentation. For bigger central pieces the pattern uses Rosette stars. My question is, have you tried to evolved the Girih tile concept to cover tiling of Rosettes?

Have you ever looked into Celtic knots? Also, this all looks similar to Truchet tiles

Amazing !!!

Reminds me of agnates, spindles, and cognates from medieval history.

You should also study muqarnas, you will find icosahedodecahedral Penrose patterns. You can also find that cuboctahedrons are used in Seljuk architecture.