12.2.2 Tessellations (continued) Example 2 Using Transformations to Create Tessellations
A tessellation is formed using a polygon in this example. The polygon is a triangle. The tessellation is formed by combining triangles such that one triangle is rotated 180° relative to the other (the red and green triangles) and the pattern is extended with a translation of each triangle. The tessellation completely fills the plane, with no gaps between the tessellating figures. A tessellation is formed using a polygon in this example. The tessellation is formed by combining the figures such that one figure is rotated 180° relative to the other (the yellow and green figures) and the pattern is extended with a translation of each figure. The tessellation completely fills the plane, with no gaps between the tessellating figures.
Example 3 Classifying Tessellations
A tessellation is classified as regular, semiregular, or neither in this example. This tessellation is regular because it consists of only one kind of regular polygon, a regular hexagon.
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