Fatehpur Sikri

• The symmetry group of the tiling is 4*2 (p4g).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are two non-regular reflective tiles.
• 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 231 polygons.

1. Page 31, bottom right (Fatehpur Sikri, Rajah Birbal's House, India. Carved pilaster) of Andreas Volwahsen. Islamisches Indien, Fribourg, Switzerland, 1991. [volwah] {192p}(1571AD, 978AH)
2. Figure 12 (II), page 9 (Tashkent scroll) of Gülru Necipoğlu. The Topkapı scroll : geometry and ornament in Islamic architecture, The Getty Center for the History of Art and the Humanities, 1995. ISBN 089236335. [necipoglu] {Beautiful publication.}

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

Photo?

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