AG/RWG: Adam Goucher has made a startling observation (quoted without permission): ---- I was reading the third edition of 'Minskys and Trinskys' by Gosper, Holloway and (Ziegler Hunts)^2: http://www.blurb.com/books/2172660-minskys-trinskys-3rd-edition The pattern of disjoint D10-symmetric snowflakes (or 'Rastermen', as they're referred to in the book) shown in Figure 31 appears to be affinely isomorphic to the pattern obtained by marking Penrose tilings: http://condellpark.com/kd/penrmark24bg.gif This suggests that it should be possible to create a very integer-esque method of drawing an affined Penrose tiling on a square grid... -- 1. I point out there are a number of 5-symmetric-looking pictures in this book, but page 31 is not one of them. 2. Is it even possible for anything drawn on an integer grid to be affine to a Penrose tiling? Related question: for which N, can the vertices of a regular N-gon be affined to distinct integer coordinates?