In the 1970s, British physicist and mathematician Roger Penrose created special nonperio...

In the 1970s, British physicist and mathematician Roger Penrose created special nonperiodic tilings of the plane. One kind used only two rhombi. A rhombus is a quadrilateral in which all four sides are the same length. One rhombus used by Penrose had two 36°and two 144°angles. The other rhombus had two 72°and two 108°angles. There are many ways to tile the plane with such rhombi. However, Penrose imposed two rules for arranging the rhombi that would form nonperiodic tilings. Research Penrose tilings by using search keywords “Penrose tilings” on the Internet. Write a report summarizing your findings. In your report, be sure to include the definition of a nonperiodic tiling, a summary of the two rules required to form a Penrose tiling, printouts of the rhombi used as tiles, and a printout of a Penrose tiling.