![]() The interior angle of a pentagon is 108 degrees. Oh no! We have a gap between the pentagons! The interior angle of a square is 90 degrees. The interior angle of an equilateral triangle is 60 degrees.Įach vertex looks the same – has the exact same composition of shapes around it: four squares. Notice that each vertex looks the same – has the exact same composition of shapes around it: six triangles. Let’s go through some regular polygons one by one to see why only three work and the others don’t. Only three combinations of singular regular polygons create regular tessellations. ![]() Every vertex looks the same and the sum of the interior angles at each vertex is 360°. Regular tessellations are made up entirely of identically sized and shaped regular polygons. Now that we have a better understanding of some basic geometry, let’s move onto the classification of tessellations of which there are three: regular, semi-regular and non-regular. The interior angle at any vertex of a regular polygon is (n – 2) x 180° / n.Įxterior angle – an angle outside a polygon at one of its vertices. The sum of the interior angles of a regular polygon is (n – 2) x 180° where n is the number of sides of the polygon. Interior angle – an angle inside a polygon at one of its vertices. Vertex – a point where two lines meet to form an angle. ![]() Regular polygon – a polygon whose sides are all the same length (equilateral) and whose angles are all the same (equiangular) otherwise, it is an Irregular Polygon. ![]() Simple Polygon – any two-dimensional shape formed with straight lines that do not intersect and and is closed. To better understand TESSELLATIONS, let’s review some GEOMETRY! ![]()
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