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RANDOM ART
Maths 2 art

What is random art

Random art is using a random set of numbers to
create a piece of artwork. To get the set of
numbers you would need to use probability.
Probability is how likely something is to happen,
and the chances of that happening.

How To create random art ?
What we need:
 Squared paper
 A six sided dice
 A pencil
 Colour pencils
 Paint

KEY

Step 1
Using a dice we can assign a shape to
each number on the dice. A colour is
also given to each number.

Dice no.
1
2
3
4
5
6

shape
Square
rectangle
Triangle
Diamond

colour

trapezium

Dark blue

Light blue

Red
Purple
Light green

pentagon Dark green

Step 2
We roll the dice to get a number.
Then we draw a shape on the
squared paper, according to the
table.
e.g. if you roll a 1 you would draw a
shape of a square.

Step 3
You would repeat the step above,
but remembering the next
consecutive shapes are drawn
from the vertices of the previous
shape.
e.g. if you roll a 3 you would
have to draw triangle.

Step 4
After we filled the paper
up with shapes, we can
colour them in using the
key for guidance.
e.g. square = light blue
Triangle = purple
Step 5
After colouring in all the shapes
we added the finishing touches:
We went over the shapes in a
black marker.
We painted the edges in a
darker shade to give more tone.
We also painted the
background.

What I know about Random art…

Since we have used random numbers the
design which we get by drawing the shape
will be different the next time.
This creates a unique and original type of art
as it cannot be repeated, using the proper
method.

Circle and Compass Markings

• In order to construct the
basis of the design, we
needed to draw a circle,
preferably using a compass.

• To create a HEXAGON – a
six-sided polygon, the
compass was placed on the
edge of the circle to mark six
arcs. This was joined
together to form the hexagon.

We realised if we applied
geometrical mathematics to
this circle, we could
construct a polygon with
how many sides we required.
This is our formula:
C=πxd
V=C

no. of sides.

KEY
C= circumference.
π = pi.
d = diameter.
V= Value of
distance between
each compass
marking.

Using the Formula to Constructing a Pentagon
1. The diameter is
10cm, 10 x 3.14 =
C = 31.4cm.

3. 6.28cm is the
value of the
distance between
each mark.

10
cm

2. 31.4  5 =
6.28cm

4. Join the points to
form a
PENTAGON.

Constructions of Shapes that can be made Using the
Formula

Sumdigits

What are sum-digits?
• Sum-digits are made when you add the
separate multiples of a number together.
• For example, 12---1+2=3
• You would do this with each multiple until
you find a repeating pattern.
• You would then keep drawing lines
clockwise, and each one would be the
amount of the sum-digit.

The sum-digit of 3.
•
•
•
•
•
•
•
•

3=3
6=6
9=9
12---1+2=3
15---1+5=6
18---1+8=9
21---2+1=3
And so on…

And so on…

• You would keep going around until
you get back to the starting point.
• You can then colour it in different
colours. You could have a different
colour for each sized box.
• You can then paint it or put a pattern
around it.

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