Tiling 4.8.8
 
 
  data136/F48
(Click on image for high-quality PDF version)
 
 
 
 data136/F48
(Click on image for high-quality PDF version) 
 
 
The versions from Constantine and Dougga have extensive ornmentation.
 
Geometry
 
 
-  The symmetry group of the tiling is *442 (p4m).
-  All the internal angles of the constituent polygons are a multiple of 45°.
-  Contains one square.
-  Contains one regular octagon.
-  The tiling does not satisfy the two-colour condition.
-  The tiling is edge-to-edge.
-  As drawn, contains about 29 polygons.
 
References
 
 
Publications referenced: 
 
-  Pl 163 (a,c) (Rame and Marusinac)  from  [balmelle] 
-  Pl 164 (b,c) (Constantine and Dougga)  from  [balmelle] 
-  Tiling 4.8.8 (Known to the Greeks!)  from  [myers] 
-  Vol2, page 179 (Mir Qavam al-Din Mar'ashi, Amol, Iran)  from  [iran] 
   v54