Mausoleum of Imam Shafi'i
data207/W1
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Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 15°.
- Contains one regular three-pointed star polygon with vertex angle of 90°.
- Contains one regular four-pointed star polygon with vertex angle of 120°.
- Contains one regular 8-pointed star polygon with vertex angle of 75°.
- Contains one regular 12-pointed star polygon with vertex angle of 60°.
- There are 6 non-regular reflective tiles (including 2 kites) and one reflective pair.
- The tiling satisfies the two-colour condition.
- The tiling is edge-to-edge.
- As drawn, contains about 300 polygons.
References
Publications referenced:
- Vol 2, page 44 (Imam al-Shafi'i, Cairo, Egypt. Side of coffin) of Hasan `Abd-al-Wahhab. Tarikh al-masajid al-athariyah, Cairo, 2 vols in Arabic, 1946. [wahhab] {The History of ancient Egyptian mosques}
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v46