Topkapi Scroll, page 313, Figure 50
data19/R6
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is ** (pm).
- All the internal angles of the constituent polygons are a multiple of 36°.
- Contains 10 regular pentagons.
- Contains one regular 10-pointed star polygon with vertex angle of 108°.
- There are three non-regular reflective tiles (including one kite).
- The tiling satisfies the interlace condition and has one finite interlace and two infinite interlaces with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 459 polygons.
References
Publications referenced:
- Fig A.9 of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Page 313, Figure 50 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.}
Collections of similar tilings
Patterns using same tiles: 23
v47