Tiling 3.4.6.4

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 30°.
• Contains one equilateral triangle.
• Contains one square.
• Contains one regular hexagon.
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 86 polygons.

1. Page 199, bottom left (Muradiye Mosque, Bursa, Turkey) from [degeorge2] (1424-6AD, 827-9AH)
2. Fig 14.1b from [ww]
3. Figure 3-18f (Roman mosaic, Ostia, Italy) from [pajares]
4. Figure 3-22b (Roman mosaic, Pompeii, Italy) from [pajares]
5. Figure 3-23b (Cosmatesque mosaic, Rome, Italy) from [pajares]
6. Page 144 from [abas]
7. Pl 205 (a,b,c) (Ostie, Pompeii, Autun, Itlay) from [balmelle]
8. Pl 417 (c) (Reims, France. Roundel) from [balmelle]
9. Tiling 3.4.6.4 (Known to the Greeks!) from [myers]

• Wade photo PIA 040

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