Symmetries of Cairo-Prismatic Tilings
John W. Berry, Matthew Dannenberg, Jason Liang, Yingyi Zeng · Rose-Hulman Scholar (Rose–Hulman Institute of Technology) · 2016
We study and catalog isoperimetric, planar tilings by unit-area Cairo and Prismatic pentagons. In particular, in counterpoint to the five wallpaper symmetry groups known to occur in Cairo-Prismatic tilings, we show that the five with order three rotational symmetry cannot occur.