# Resources tagged with: Compound transformations

### There are 13 results

Broad Topics >

Transformations and constructions > Compound transformations

##### Age 16 to 18 Challenge Level:

Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.

##### Age 16 to 18 Challenge Level:

Follow hints using a little coordinate geometry, plane geometry and
trig to see how matrices are used to work on transformations of the
plane.

##### Age 11 to 18

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

##### Age 14 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

Make a footprint pattern using only reflections.

##### 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.

##### Age 16 to 18 Challenge Level:

In this 'mesh' of sine graphs, one of the graphs is the graph of
the sine function. Find the equations of the other graphs to
reproduce the pattern.

##### 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?

##### 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.

##### Age 16 to 18 Challenge Level:

Can you construct a cubic equation with a certain distance between
its turning points?

##### 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.

##### Age 16 to 18

An account of how mathematics is used in computer games including
geometry, vectors, transformations, 3D graphics, graph theory and
simulations.

##### Age 14 to 18 Challenge 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.