Based on Topkapi Scroll

This pattern was incorrectly transcribed from the Topkapi Scroll. For the correct version, see Topkapi Scroll, page 308, Figure 41

• The symmetry group of the tiling is 442 (p4).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains one square.
• There are no non-regular reflective pairs and one tile with no mirror image.
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• The tiling satisfies the two-polygon condition.
• As drawn, contains about 76 polygons.

1. PP Class 60, [p4,c4,c1], IH Class 28 (Introductory pattern) of S J Dawes and B A Wichmann. A New Class of Tilings with Two Prototiles, Visual Mathematics, Vol 3, No 4., 2001. [dawes] {Revises CD/booklet.} Available on Internet.
2. Page 308, Figure 41b 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.}

Photo?

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