(4.4.8*π/4.4.8*π/4;4.4.4.4)
 
 
  data146/KX
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 data146/KX
(Click on image for high-quality PDF version) 
 
Geometry
 
 
-  The symmetry group of the tiling is *442 (p4m).
-  All the internal angles of the constituent polygons are a multiple of 45°.
-  Contains two squares.
-  Contains one regular 8-pointed star polygon with vertex angle of 45°.
-  The tiling does not satisfy the two-colour condition.
-  The tiling is edge-to-edge.
-  As drawn, contains about 203 polygons.
 
References
 
 
Publications referenced: 
 
 
-  Figure 43 of Joseph S. Myers. 2-uniform tilings ..., www.polyomino.org.uk,	2009.	 [myers2]  Available on Internet.
-  Frontispiece Kepler's figure X of B Grünbaum and G C Shephard. Tilings and Patterns, W H Freeman,	1987.	ISBN 071671193.  [gands]  {Most important work in this area.}
-  Page 94 of Charles Cahier and Arthur Martin. 376 Decorative Allover Patterns from Historic Tilework and Textiles, Dover,	1868.	ISBN 048626146.  [cahier] 
Collections of similar tilings
 
 
 
  Photo?  
   v54