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Published byAlexandra Sims Modified over 9 years ago
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Tessellations *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular)
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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.
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What are some examples of tessellations in the everyday world?
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Name of Regular Polygon Degree Measure of Each Interior Angle 360° Divided by Degree Measure of Interior Angle Equilateral triangle Square Regular pentagon Regular hexagon Regular heptagon Regular octagon Regular nonagon
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Name of Regular Polygon Degree Measure of Each Interior Angle 360° Divided by Degree Measure of Interior Angle Equilateral triangle606 Square904 Regular pentagon1083.333333 Regular hexagon1203 Regular heptagon128.62.8 Regular octagon1352.7 Regular nonagon1402.6
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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 the equilateral triangle, square, and regular hexagon. In order for a figure to tessellate, the sum of all interior angles that meet at a vertex must be 360°.
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