Julie Dobson Ulverston Victoria High School, Cumbria

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Julie DobsonUlverston Victoria High School,
Cumbria

• using art to learn maths using maths to create
  art

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• How do these numbers
• 1, 1, 2, 3, 5, 8, 13, 21, 34, 55....

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• produce this spiral?

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www.maths2art.co.uk
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Digit-Sum Spirals

• 149 gt 149 14 gt 14 5
• So the digit sum of 149 is 5

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Now draw the spiral
2nd digit sum 7
7 squares right
6 squares down
8 squares up
3rd digit sum 6
Start
Dont stop until you get back to the start
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Digit-sum spiral for multiples of 8
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• List the first 20 or so multiples of the number
  you are working with,
• then find the digit sum for each number,
• now use the digit sums to draw the digit-sum
  spiral!

• Sarah Bonnell multiples of 1, 8 and 10
• Helsby multiples of 2 and 7
• Nunthorpe multiples of 3, 6 and 9
• St Augustines multiples of 4 and 5

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For further investigation What happens if you
try to draw a digit-sum spiral using numbers
greater than 10? Using square numbers? Cube
numbers? Fibonacci numbers?
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Random Art
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How was this picture created by rolling dice?
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Select a small rectangle within your sheet of
isometric paper
Choose 6 colours, and roll the dice to decide the
colour for each triangle (1 blue, 2 red
etc.) Add colour systematically, working left to
right, top to bottom.
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Roll 2 diceand add
I roll 3 and 1 the first time The x coordinate is
4 I roll 5 and 3 the second time The y
coordinate is 8 I plot (4,8)
x
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• What would your own original piece or random art
  be like?
• What methods would you use to generate your
  image?
• How many colours would you need?

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Are these images art?
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Another avenue to explore
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Part II of this videoconference will take place
at 10.30 am on Tuesday 4th July I look
forward to seeing the work you do over the next
few weeks