Tessellations

Front

What is a tessellation?

Back

A tessellation is a pattern made of one or more shapes that fit together without any gaps or overlaps on a surface.

Front

Can a square tessellate?

Back

Yes, a square can tessellate because it can cover a surface completely without gaps.

Front

Can a hexagon tessellate?

Back

No, a regular hexagon cannot tessellate by itself.

Front

Can a diamond shape tessellate?

Back

Yes, a diamond shape can tessellate.

Front

What is the sum of angles at a vertex for a tessellation?

Back

The sum of angles at a vertex in a tessellation must equal 360 degrees.

Front

Can an octagon and an equilateral triangle tessellate?

Back

No; there is no combination of angles that adds up to exactly 360 degrees.

Front

What is an example of a regular tessellation?

Back

An example of a regular tessellation is one made entirely of squares or equilateral triangles.

Front

What is a semi-regular tessellation?

Back

A semi-regular tessellation is made up of two or more types of regular polygons.

Front

What is the difference between regular and irregular tessellations?

Back

Regular tessellations use one type of regular polygon, while irregular tessellations use different shapes.

Front

Can a triangle tessellate?

Back

Yes, triangles can tessellate.