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Does a rectangle Tessellate?

Yes, a rectangle can tessellate. We can create a tiling of a plane using a rectangle in several different ways.

Does a square and rectangle Tessellate?

This means we are looking for shapes that fit together nicely, without any gaps or overlaps to create a pattern. Stacks of these strips cover a rectangular region and the pattern can clearly be extended to cover the entire plane. This easily gives us the result that: All squares tessellate.

Do all four sided shapes tessellate?

Every shape of quadrilateral can be used to tessellate the plane. In both cases, the angle sum of the shape plays a key role. Since triangles have angle sum 180° and quadrilaterals have angle sum 360°, copies of one tile can fill out the 360° surrounding a vertex of the tessellation.

Can irregular hexagons tessellate?

There are 3 different classifications of irregular hexagons which tessellate. No convex shapes with 7 or more sides will tessellate.

How do you explain a tessellation?


  1. A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.
  2. A regular tessellation is a pattern made by repeating a regular polygon.
  3. A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!

How do you introduce a tessellation?

A tessellation is a covering of the plane by shapes, called tiles, so that there are no empty spaces and no overlapped tiles. Tessellations are also called tilings. Some tessellations involve many types of tiles, but the most interesting tessellations use only one or a few different tiles to fill the plane.

How are tessellations used today?

Tessellations can be found in many areas of life. Art, architecture, hobbies, and many other areas hold examples of tessellations found in our everyday surroundings. Specific examples include oriental carpets, quilts, origami, Islamic architecture, and the are of M. C. Escher.

What does Tessellate mean in shapes?

A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling.

How do you make a triangle tessellation?

Tessellations From Triangles I

  1. Take an index card and cut it in half.
  2. Draw a pattern on one side of the triangle in the same manner as you did in the assignment Puzzles From Squares.
  3. Mark the midpoint of another side of the triangle.
  4. Trace your shape on the other half of the index card.