Fatehpur Sikri

data197/IND0724 (Click on image for high-quality PDF version) Revised: Graphic

An improved version of this pattern which satisfies the two-colour condition. For the previous version, see Masjid Jami, Fatepur Sikri.

Geometry

The symmetry group of the tiling is 2*22 (cmm).
All the internal angles of the constituent polygons are a multiple of 3.21 (π/56)°.
Contains two regular four-pointed star polygons with vertex angle of 45°.
Contains one regular 14-pointed star polygon with vertex angle of 70.71 (11π/28)°.
There are five non-regular reflective tiles (including one kite) and one reflective pair.
The tiling satisfies the interlace condition and has no finite interlace and three infinite interlaces with straight cross-overs.
The tiling is edge-to-edge.
As drawn, contains about 241 polygons.

Publications referenced:

Part 4 (Fatehpur Sikri, Friday Mosque, India. With ornament inside the stars) from [smith2] (1571AD, 978AH)
Photo by David Wade: IND 0720/4 (Fatehpur Sikri, Friday Mosque, India) from [wadei] (1571AD, 978AH)
Figure 34 from [hankin1]
Photos from David Wade (5-pt star is not quite regular, both versions have inconsistencies) from [pc]

v54