What is the difference between regular and semi regular tessellations

A semi-regular tessellation is made up of two or more regular polygons, which have equal sides and angles that are arranged the same at every vertex. There are three regular shapes that make up regular tessellations: the equilateral triangle, the square and the regular hexagon.

For example, a regular hexagon is used in the pattern of a honeycomb, the nesting structure of the honeybee. The pattern is called a tessellation.

If you look at the honeycomb, you can see that hexagons are tessellating. Tessellations have two important properties: i they have no gaps all of the plane is covered and ii they go on for ever no matter where you go in the plane the shapes will still be covering the part of the plane that you can see.

Sometimes we call a tessellation a tiling. Any pattern that does this is called a tiling. There are only three regular shapes that tessellate — the square, the equilateral triangle, and the regular hexagon.

The answer is no, circles will not tessellate. Is a triangle a regular polygon? A regular polygon is a polygon where all of the sides and angles are the same.

An equilateral triangle is a regular polygon. It has all the same sides and the same angles. An isosceles triangle has two equal sides and two equal angles. What shapes Cannot Tessellate? Among regular polygons, a regular hexagon will tessellate, as will a regular triangle and a regular quadrilateral Square. But no other regular polygon will tessellate. How do you tessellate a triangle? Tessellations From Triangles II Draw an equilateral triangle, and draw a curve on one side of the triangle.

Erase the side and cut out the figure. Draw two equilateral triangles of the same size as the one you drew. Trace the curve on another side. You can print them, cut them out and use them to test which polygons fit together: 3 4 5 6 8 9 10 Main menu Search. Hide Menu. You may also like Triominoes A triomino is a flat L shape made from 3 square tiles. Semi-regular Tessellations. Demi-regular tessellations always contain two vertices. A non-regular tessellation is a group of shapes that have the sum of all interior angles equaling degrees.

There are again, no overlaps or gaps, and non-regular tessellations are formed many times using polygons that are not regular. There are two other types of tessellations which are three-dimensional tessellations and non-periodic tessellations. A three-dimensional tessellation uses three-dimensional forms of shapes, such as octahedrons.

A non-periodic tessellation is a tiling that does not have a repetitious pattern. Instead, the tiling evolves as it is created, yet still contains no overlapping or gaps. Jennifer VanBaren started her professional online writing career in She taught college-level accounting, math and business classes for five years.

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