# Mathematics and Art - June 2010, All Stages

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

### Shapely Lines

##### Stage: 1 Challenge Level:

This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

### Exploded Squares

##### Stage: 1 Challenge Level:

This practical activity challenges you to create symmetrical designs by cutting a square into strips.

### Straight to Curves

##### Stage: 1 and 2 Challenge Level:

How can you make a curve from straight strips of paper?

### Paper Curves

##### Stage: 2 Challenge Level:

This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.

### The Numbers Give the Design

##### Stage: 2 Challenge Level:

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

### Table Patterns Go Wild!

##### Stage: 2 Challenge Level:

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

### Celtic Knot

##### Stage: 2 Challenge Level:

Building up a simple Celtic knot. Try the interactivity or download the cards or have a go on squared paper.

### Attractive Rotations

##### Stage: 3 Challenge Level:

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

### Drawing Celtic Knots

##### Stage: 3 Challenge Level:

Here is a chance to create some Celtic knots and explore the mathematics behind them.

### 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?