Tesselation

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, covering a surface completely.

Front

What are the basic requirements for a shape to tessellate?

Back

A shape must be able to fit together with copies of itself without leaving any gaps or overlaps.

Front

Can circles tessellate?

Back

No, circles cannot tessellate because they leave gaps when placed next to each other.

Front

What is a regular tessellation?

Back

A regular tessellation is made up of one type of regular polygon that repeats to fill the plane, such as equilateral triangles, squares, or regular hexagons.

Front

What is an example of an irregular tessellation?

Back

An irregular tessellation can include shapes that are not regular polygons, such as a combination of different shapes like triangles, quadrilaterals, and other polygons.

Front

What is the significance of angles in tessellation?

Back

The angles of the shapes used in a tessellation must add up to 360 degrees at each vertex where the shapes meet.

Front

What is a semi-regular tessellation?

Back

A semi-regular tessellation is made up of two or more types of regular polygons that fit together in a repeating pattern.

Front

What shapes can create a tessellation?

Back

Shapes like triangles, squares, and hexagons can create tessellations, while shapes like circles cannot.

Front

What is the role of symmetry in tessellation?

Back

Symmetry in tessellation refers to the balanced and proportionate arrangement of shapes, contributing to the aesthetic appeal of the pattern.

Front

How can you identify a tessellation in art or nature?

Back

Look for patterns that repeat without gaps or overlaps, such as tiled floors, honeycombs, or certain artworks.