Bourgoin, Plate 67

A very early pattern, common in Middle East and Central Asia from 11th. century onwards

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 45°.
• Contains one square.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are three non-regular reflective tiles.
• The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 201 polygons.

1. Figure 163 (Damghan, Iran. Minaret) from [pope] (1026-9AD, 416-9AH)
2. Page 198, Fig. 62b (Eastern tomb tower, Kharraqan, Iran) from [bonner] (1067-8AD, 458-9AH)
3. Page 198, Fig. 62b (Friday Mosque, Golpayegan, Iran) from [bonner] (1105-18AD, 498-511AH)
4. Figure 167 (Balkh, Dawlatabad, Afghanistan, Central Asia. Minaret) from [hill] (1108-9AD, 501-2AH)
5. Figire 166 (Saveh, Iran. Minaret) from [pope] (1110AD, 503AH)
6. Figure 191 (Bastam, Tomb of Bayezit Bastami, Iran) from [hill] (1120AD, 513AH)
7. Figure 98 (Minaret of Jam, Afghanistan, Central Asia) from [pope] (1190AD, 585AH)
8. Page 271, bottom (Dargah of Qutb Sahib, Delhi, India. Colour from here) from [degeorge2] (1236AD, 633AH)
9. Figure 117 (Erzen Khatun mausoleum, Ahlat, Turkey. Carved stone band round entrance and high frieze) from [aslanapa] (1396-7AD, 798-9AH)
10. Part 1 (Fatehpur Sikri, India) from [smith2] (1565-1605AD, 972-1014AH)
11. Photo by David Wade: IND 0708 (Akbar's mausoleum, Sikandra, India) from [wadei] (1613AD, 1022AH)
12. Photo by David Wade: IRA 2631 (Oljaito's mausoleum, Sultaniyeh, Iran) from [wadei] (1613AD, 1022AH)
13. Fig 9.7a from [ww]
14. Figure 31 from [elsaid]
15. Figure 78 of Volume 3 page 27 (Imam Gate, Isfahan, Iran. (aka Masjed-e Shah)) from [iran]
16. Page 225 from [abas]
17. Photo by David Wade: IRA 1005 (al-Hakim Mosque, Isfahan, Iran) from [wadei]
18. Photo by David Wade: TRA 0402 (Shir Dar madrasah, Samarkand, Central Asia) from [wadei]
19. Photo from M Sakkal (Junblat House, Aleppo, Syria) from [pc]
20. Plate 67 from [bourgoin]
21. Vol5, page 28 (Golestan Palace, Tehran, Iran) from [iran]

• Wade photo IRA 1005
• Wade photo IRA 2631
• Wade photo IND 0708
• Wade photo BOU 067
• Wade photo TRA 0402

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

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