A very rare design

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 4.5°.
• Contains one regular 8-pointed star polygon with vertex angle of 117°.
• There are five non-regular reflective tiles (including 2 kites).
• The tiling satisfies the interlace condition and has one finite interlace and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 665 polygons.

1. Part 3, Plate LXXVIII (Fatehpur Sikri, The Large Baths, India) of E W Smith,. The Moghul Architecture of Fathpur-Sikri, Archaeological Survey of India, 1896. [smith2] (1581AD, 989AH)
2. Page 84 (This is a very rare design (caption on drawing)) of Javad Shafai. On decoration in Persian architecture and wood carving, Tehran, 1977. [shafai] {In Persian}

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