In this recent talk at the RI Roger Penrose, one of the most influential living mathematical physicists, will delve deep into the “forbidden symmetry” of his famous Penrose tiles and the use of non-repeating patterns in design and architecture. Penrose will discuss the origin of these forbidden symmetries and their use in mathematics and architecture. But these are not the only fields, which employ such forbidden symmetries — they have been found useful in science of the atomic structures of quasi-crystalline materials, the discovery of which earned Dan Shectman the 2011 Nobel Prize for chemistry. For more similar videos, visit the great channel of RI. Also, the link for the Q&A that took place after this talk can be found below.