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In 1202 by Leonardo Fibonacci
investigated a sequence of numbers that amazingly occurs frequently
in nature, eg number of petals on flowers such as Marigolds, Asters
and Daisies and cells in bee hives. Can you see how the pattern is generated?
What would the next number be?
It can be used to draw a perfect
spiral, like that of a Nautilus shell.
The children cut out squares of coloured paper for each number in the
sequence (1x1, 1x1, 2x2, 3x3, 5x5 etc) and then arranged them from the
centre of the page as shown. By drawing an arc from diagonal to diagonal,
a spiral can be made.
Other children chose to use Matisse's snail as inspiration and arranged
the squares in a spiral pattern with spaces in between.
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Fibonacci
numbers
1
1 2 3 5 8 13 21 34 55 89 144
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