Compound transformations

problem

Square Tangram

Age

7 to 11

Challenge level

This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
article
Going Places With Mathematicians

This article looks at the importance in mathematics of representing places and spaces mathematics. Many famous mathematicians have spent time working on problems that involve moving and mapping things.
article
Maurits Cornelius Escher

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 intertwined.
problem

Decoding Transformations

Age

11 to 14

Challenge level

See the effects of some combined transformations on a shape. Can you describe what the individual transformations do?
problem
Favourite

Mirror, Mirror...

Age

11 to 14

Challenge level

Explore the effect of reflecting in two parallel mirror lines.
game
Favourite

Transformation Game

Age

11 to 14

Challenge level

Why not challenge a friend to play this transformation game?
problem

Triangular Tantaliser

Age

11 to 14

Challenge level

Draw all the possible distinct triangles on a 4 × 4 dotty grid. Convince me that you have all possible triangles.
problem

Flight of the Flibbins

Age

11 to 14

Challenge level

Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to the new planet?
problem

Making Rectangles, Making Squares

Age

11 to 14

Challenge level

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
problem

Bow Tie

Age

11 to 14

Challenge level

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.