How To Calculate Inner Angles And Obtain A Tessellation Shape?

The Penrose tiling is an unusual pattern consisting of smaller green parallelograms and larger blue parallelograms. The sum of the interior angles of a tessellation is 360 ∘ 360 ∘, and it can be made from single shapes or using a range of shapes. Tessellations are often found in quilts, carpets, and floors. A motif is a shape that is repeated or tessellated, and regular polygons are shapes whose sides and angles are all equal, specifically the angles inside them.

To find the angle measure of a regular polygon, use the formula (n-2)*180 to find the total sum of the interior angles, where n is the number of sides in the polygon. The interior angle measures total exactly 360° at the point where the vertices of the polygons meet. To create tiling patterns and tessellations, apply formulae for the interior and exterior angles of a polygon and draw three types of regular polygons that tessellate the plane.

To check that the sum of the angles in a triangle is 180°, cut out a triangle and draw some quadrilaterals. The first thing you need to know is what the sum of the measures of the interior angles is, then we can use that information to figure out the measure of each.

In summary, tessellations are patterns or arrangements of 2D shapes that can fill any 2D space with no gaps or overlapping edges. By applying formulas for the interior and exterior angles of a polygon and creating tiling patterns and tessellations, students can develop their understanding of these shapes and their applications in various fields.