Hessemer, page 18

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 22.5°.
• Contains one regular two-pointed star polygon with vertex angle of 45°.
• Contains one regular four-pointed star polygon with vertex angle of 45°.
• Contains one regular 8-pointed star polygon with vertex angle of 90°.
• There are three non-regular reflective tiles (including one kite).
• The tiling satisfies the two-colour condition.
• The tiling is edge-to-edge.
• As drawn, contains about 227 polygons.

1. Page 18 (Wall painting in the mosque Abu Sud i Kierheh (??) of uncertain date. Tiles contain ornamentation in the original) of F M Hessemer. Historic Designs and Patterns in Color, Dover, a1840. ISBN 048626425. [hessemer] {This collection is unusual in giving the source for almost all the patterns.} Available on Internet.
2. Photo 255, from Internet source (ceiling: 8-sided stars, various dates, with colour) of Prisse d'Avennes. Arabic Art in Color, Dover, 1877. ISBN 048623658. [d-avennes] {Contains 25 geometric patterns in colour, and gives the source in most cases more on the Internet.} Fuller version available on Internet.
3. Plate 48 (Is the same but with octagons for diamonds and the four-pointed star) of J Bourgoin. Arabic Geometrical Pattern and Design, Dover, 1879. ISBN 048622924. [bourgoin] {Classical book of around 200 hand-produced patterns, in back and white.} Fuller version available on Internet.

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