Here is an article on medieval Islamic tilework exhibiting decagonal symmetry patterns.
These girih tiles may have been used to generate a wide range of complex tiling patterns on major buildings from medieval Islam, including mosques in Isfahan, Iran, and Bursa, Turkey; madrassas in Baghdad; and shrines in Herat, Afghanistan, and Agra, India.
In some cases, Lu found girih tiles used to create patterns of two distinct scales on medieval Islamic buildings. This approach generates infinite patterns with decagonal symmetry that never repeats - also known as a quasicrystalline tiling, a phenomenon first described in the West in the 1970s by famed British mathematician Roger Penrose and more fully explained by Steinhardt and Dov Levine over the past 30 years.
Don't miss viewing picture #2 in the article. Classical excellence!