# Mathematics and Art - June 2010, Stage 4&5

This month we are looking at connections between aspects of Mathematics and aspects of Art. The starting point may be in either subject area and looks at links that may be found to the other area of study.

## Problems

### Painting Between the Lines

##### Stage: 3 and 4 Challenge Level:

In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?

### It Depends on Your Point of View!

##### Stage: 4 Challenge Level:

Anamorphic art is used to create intriguing illusions - can you work out how it is done?

### Moving Squares

##### Stage: 4 Challenge Level:

How can you represent the curvature of a cylinder on a flat piece of paper?

### Painting by Functions

##### Stage: 5 Challenge Level:

Use functions to create minimalist versions of works of art.

### Painting by Numbers

##### Stage: 5 Challenge Level:

How many different colours of paint would be needed to paint these pictures by numbers?

### Rose

##### Stage: 5 Challenge Level:

What groups of transformations map a regular pentagon to itself?

### Torus Patterns

##### Stage: 5 Challenge Level:

How many different colours would be needed to colour these different patterns on a torus?