In triangle ABC below, all sides are 12 feet making triangle ABC equilateral.Ī regular polygon is BOTH equiangular and equilateral. In an equilateral polygon, each side has the same length. A square is an example of an equiangular polygon because each of the 4 angles form 90 degrees. In an equiangular polygon, each angle has the same degree measure. As in, a polygon with 56 sides is a 56-gon. Polygons with more than 12 sides are usually referred to as n-gons. NOTE: There are many more polygons, but the ones listed here are some of the most popular and most often taught in geometry classes. (2) A polygon of 5 sides is called a pentagon.Ī polygon of 8 sides is called an octagon.Ī polygon of 10 sides is called a decagon.Ī polygon of 12 sides is called a dodecagon. (1) A polygon with 4 sides is called a quadrilateral. Classification of PolygonsĪ polygon may be identified by the number of sides. This is the simplest polygon, because you can't construct one with just 1 or 2 sides (try it!). There are also three vertices, one at each point. Each corner of a polygon where two sides intersect is called a vertex of the polygon.įor example, a triangle is a polygon with 3 sides. Lizard tiles by Ben Lawson.How many ways can we classify polygons? DefinitionĪ polygon is a closed geometric figure whose sides are simple line segments. Hexagonal and rhombic tessellations from Wikimedia Commons. Triangular tessellation from pixababy.If you want to try a more complicated version, cut two different squiggles out of two different sides, and move them both. ![]() Color in your basic shape to look like something - an animal? a flower? a colorful blob? Add color and design throughout the tessellation to transform it into your own Escher-like drawing. The shape will still tessellate, so go ahead and fill up your paper.Then move it the same way you moved the squiggle (translate or rotate) so that the squiggle fits in exactly where you cut it out. On a large piece of paper, trace around your tile. Tape the squiggle into its new location.It’s important that the cut-out lines up along the new edge in the same place that it appeared on its original edge.You can either translate it straight across or rotate it. ![]() ![]()
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