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Tessellations

Tessellations. *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular). Tessellations.

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Tessellations

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  1. Tessellations *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular)

  2. Tessellations • Formed when a picture, single tile unit, or multiple tile units in the form of some shape undergoes isometric transformations in such a way as to form a pattern that fills a plane in a symmetrical way without overlapping or leaving gaps.

  3. What are some examples of tessellations in the everyday world?

  4. •To find the measure of an interior angle of a polygon, use the formula , where n is the number of sides

  5. •To find the sum of the interior angles of a polygon, use the formula , where n is the number of sides

  6. In order for a figure to tessellate, the sum of all interior angles that meet at a vertex must be 360°. • In a tessellation the regular polygons used will fit together around a point (vertex) with no gaps or overlaps. When using congruent, regular polygons, interior measure of each angle will need to be a factor of 360°(divides evenly with no remainder). The only regular polygons that meet the requirements are theequilateral triangle, square, andregular hexagon.

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