Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.
An interactive activity for one to experiment with a tricky tessellation
Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?
Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?
What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?
Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?
What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?
Suggestions for teachers about exploring maths in different contexts: art, history and so on
Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be. . . .
An environment that enables you to investigate tessellations of regular polygons
This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your. . . .
This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging.