Wooden ceiling

Version with regular pentagons but interlace discontinuities. For other presentation, see Wooden ceiling.

• The symmetry group of the tiling is *442 (p4m).
• All the internal angles of the constituent polygons are a multiple of 9°.
• Contains two regular pentagons.
• Contains one regular octagon.
• Contains one regular 8-pointed star polygon with vertex angle of 108°.
• There are five non-regular reflective tiles (including 2 kites).
• The tiling satisfies the interlace condition and has three finite interlaces and no infinite interlace with non-straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 213 polygons.

1. Page 131 (Sha'ban Madrasah, Cairo, Egypt. Painted ceiling) of Bernard O'Kane. The Mosques of Egypt, AUC, Cairo, 2016. ISBN 978977416732. [okane2] {}(1368-9AD, 769-70AH)

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