Fatehpur Sikri, Rajah Birbal's House

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains two regular 8-pointed star polygons with vertex angle of 90°.
• There are four non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has two finite interlaces and one infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 272 polygons.

1. Page 276, Fig 153 (Malik mosque, Kerman, Iran. Mihrab) of Jay Bonner. Islamic Geometric Patterns, Springer, 2016. ISBN 978144190216. [bonner] {Largest Islamic tile collection in print}(1000-1200AD, 389-596AH)
2. Part 2, Plate X (Fatehpur Sikri, Rajah Birbal's House, India. North porch ceiling) of E W Smith,. The Moghul Architecture of Fathpur-Sikri, Archaeological Survey of India, 1896. [smith2] (1571AD, 978AH)
3. Photo from M Sakkal (Junblat House, Aleppo, Syria) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

• Tiling whose tile angles are a multiple of 45° and whose lengths are p+q*sqrt(2).

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