Title : The formation of the periodic translational penrose tiles (crystal) and their corresponding unit cells
Abstract:
Utilizing a variety of permutations and combinations of coupling skills, binary circular Penrose tiles of translation mirror symmetry have been constructed and their corresponding unit cells have also been defined. A tessellation of unit cells can perceive translational mirror Penrose tiles of infinite size and the number of such unit cells is infinite. A penrose tube is made by rolling- up tiles in four directions, and a smallest Penrose football shape can be made using unit cell
Key words: Decagon, Penrose tiling, binary tiling system, circular shape, translational periodic Penrose tiles, unit cell.