# Resources tagged with: Compound transformations

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### There are 28 results

Broad Topics > Transformations and constructions > Compound transformations

### Trees and Friezes

##### Age 11 to 14Challenge Level

This problem is based on the idea of building patterns using transformations.

### Friezes Using Logo

##### Age 11 to 14Challenge Level

Experimenting with variables and friezes.

### Making Rectangles, Making Squares

##### Age 11 to 14Challenge Level

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

### Parallel Parking

##### Age 14 to 16

Scientist Bryan Rickett has a vision of the future - and it is one in which self-parking cars prowl the tarmac plains, hunting down suitable parking spots and manoeuvring elegantly into them.

### Mathematical Patchwork

##### Age 7 to 14

Jenny Murray describes the mathematical processes behind making patchwork in this article for students.

### 2001 Spatial Oddity

##### Age 11 to 14Challenge Level

With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.

### Who Is the Fairest of Them All ?

##### Age 11 to 14Challenge Level

Explore the effect of combining enlargements.

### Simplifying Transformations

##### Age 11 to 14Challenge Level

How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?

##### Age 14 to 18Challenge Level

This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.

### Maurits Cornelius Escher

##### Age 7 to 14

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. . . .

### Bow Tie

##### Age 11 to 14Challenge 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.

### ...on the Wall

##### Age 11 to 14Challenge Level

Explore the effect of reflecting in two intersecting mirror lines.

### The Frieze Tree

##### Age 11 to 16

Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?

### Matching Frieze Patterns

##### Age 11 to 14Challenge Level

Sort the frieze patterns into seven pairs according to the way in which the motif is repeated.

### Mirror, Mirror...

##### Age 11 to 14Challenge Level

Explore the effect of reflecting in two parallel mirror lines.

### Frieze Patterns in Cast Iron

##### Age 11 to 16

A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.

### Squaring the Rectangle

##### Age 14 to 18Challenge Level

Can you find a way to turn a rectangle into a square?

### Grouping Transformations

##### Age 11 to 18

An introduction to groups using transformations, following on from the October 2006 Stage 3 problems.

### Transformation Game

##### Age 11 to 14Challenge Level

Why not challenge a friend to play this transformation game?

### Decoding Transformations

##### Age 11 to 14Challenge Level

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

### Combining Transformations

##### Age 11 to 14Challenge Level

Does changing the order of transformations always/sometimes/never produce the same transformation?

### Paint Rollers for Frieze Patterns.

##### Age 11 to 16

Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

### Squares, Squares and More Squares

##### Age 11 to 14Challenge Level

Can you dissect a square into: 4, 7, 10, 13... other squares? 6, 9, 12, 15... other squares? 8, 11, 14... other squares?

### Screwed-up

##### Age 11 to 14Challenge Level

A cylindrical helix is just a spiral on a cylinder, like an ordinary spring or the thread on a bolt. If I turn a left-handed helix over (top to bottom) does it become a right handed helix?

### Going Places with Mathematicians

##### Age 7 to 14

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. . . .

### Counting Triangles

##### Age 11 to 14Challenge Level

Triangles are formed by joining the vertices of a skeletal cube. How many different types of triangle are there? How many triangles altogether?

### Triangular Tantaliser

##### Age 11 to 14Challenge Level

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

### Flight of the Flibbins

##### Age 11 to 14Challenge 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. . . .