Pentagonal Tiling

几何学中，五边形镶嵌（Pentagonal Tiling）是指利用五边形对整个平面进行无缝密铺。目前已经发现了 15 种五边形的单密铺（使用同一种全等五边形）。最近一种发现于 2015 年。我们并不知道还有没有其他种类。为纪念第一个研究该问题的 Karl Reinhardt (1895-1941) ，我设计了这本 Zine。Pentagonal Tiling 入选 2016 年度 Art Book in China 艺术书展与 2019 北京国际设计周「水墨与纹藏」国际设计特色作品展，并在 2017 年第 11 届澳门设计双年展中获得银奖。

-

In geometry, a pentagonal tiling is a tiling of the plane where each individual piece is in the shape of a pentagon. Fifteen types of convex pentagons are known to tile the plane monohedrally (i.e. with one type of tile). The most recent one was discovered in 2015. It is not known whether this list is complete. In memory of Karl Reinhardt (1895-1941), the first one who did research on this issue, I designed this zine. Pentagonal Tiling is selected for the Art Book in China 2016 and the 2019 Beijing International Design Week “Ink Art & Pattern” The Special Works Exhibition of International Design, and honored a Silver Prize at the 11^th Macau Design Biennial in 2017.

-