A tessellation, or tiling, is a repeating pattern that completely covers a plane, without gaps or overlaps. A tessellation, or tiling, is a repeating pattern that completely covers a plane, without gaps or overlaps.

Facts about Tessellations You can create tessellations with rotations, reflections, and translations. You can create tessellations with rotations, reflections, and translations. You can find tessellations in floor tiling, in nature, and in everyday life. You can find tessellations in floor tiling, in nature, and in everyday life. Every triangle and quadrilateral tessellates. Every triangle and quadrilateral tessellates.

Will the figure tessellate? The measures of the angle around a vertex must be 360º The measures of the angle around a vertex must be 360º If the angles around a vertex are congruent, then the measure of the angles must be a factor of 360. If the angles around a vertex are congruent, then the measure of the angles must be a factor of 360. To determine the factors of 360 use the formula: 180( n – 2 ) To determine the factors of 360 use the formula: 180( n – 2 ) n

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