impossible-cookware-and-other-triumphs-of-the-penrose-tile

impossible-cookware-and-other-triumphs-of-the-penrose-tile

10/13/2014

link

http://m.nautil.us/issue/13/symmetry/impossible-cookware-and-other-triumphs-of-the-penrose-tile

summary

This article explores the mathematical concept of Penrose tiles and their applications in various fields. Penrose tiles are a unique type of non-periodic tiling that exhibit a certain type of symmetry known as quasicrystalline symmetry. The article discusses the discovery of Penrose tiles by mathematician Roger Penrose and their subsequent applications in art, design, and even creating impossible cookware. It also delves into the mathematical properties and rules that govern Penrose tiles, highlighting their complexity and beauty. Overall, the article showcases the wide-reaching impact of Penrose tiles and their significance in both mathematics and real-world applications.

tags

penrose tiles ꞏ geometric patterns ꞏ symmetry ꞏ geometric shapes ꞏ mathematical innovations ꞏ mathematical patterns ꞏ mathematical models ꞏ optical illusions ꞏ mathematical puzzles ꞏ spatial design ꞏ mathematical beauty ꞏ mathematical aesthetics ꞏ mathematical creativity ꞏ computational geometry ꞏ mathematical design ꞏ mathematical art ꞏ mathematical visualizations ꞏ crystallography ꞏ artistic expressions ꞏ mathematical symmetry ꞏ tilings ꞏ mathematical geometry ꞏ mathematical concepts ꞏ mathematical discoveries ꞏ roger penrose ꞏ aperiodic tiling ꞏ mathematical structures ꞏ tessellation ꞏ visual illusions