We will explore how tessellations are created and experiment with making some of our own as well. There are countless designs that may be classified as regular tessellations, and they all have one thing in common-their patterns repeat and cover the plane. These two-dimensional designs are called regular (or periodic) tessellations. It may be a simple hexagon-shaped floor tile, or a complex pattern composed of several different motifs. Repeated patterns are found in architecture, fabric, floor tiles, wall patterns, rug patterns, and many unexpected places as well. In this section, we will focus on patterns that do repeat. What's interesting about this design is that although it uses only two shapes over and over, there is no repeating pattern. Notice that there are two types of shapes used throughout the pattern: smaller green parallelograms and larger blue parallelograms. The illustration shown above (Figure 10.101) is an unusual pattern called a Penrose tiling.
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