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Adjust angle to best space the seeds.  

That optimal angle is called the  “golden angle.”

When you find that angle, a sunflower appears.

Click green flag to reset to golden angle. 

Adjust seed size to best see the spirals.

Colors show the vast number of possible golden angle spiral patterns, clockwise & counterclockwise.

The numbers of spirals, clockwise & counterclockwise, are successive Fibonacci numbers, as in sunflowers, daisies, and several other flowers.

1 / 3

Which of the below has a 45 degree branching angle? (Use model to help you answer)

2 / 3

Which has a 30 degree branching angle?

3 / 3

Which of the following are true?

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Wow!

Painting the spirals helps you count them. 

In pine cones you can often find 8 or 13 spirals, clockwise or counterclockwise.  Both 8 and 13 are Fibonacci numbers.

When seeds are relatively smaller, many more spirals can fit, as in a sunflower.

The seeds are so small below, you can’t color them on a phone.  With a laptop or tablet you can color many different spiral patterns, clockwise and counterclockwise. The number of spirals will nearly always be Fibonacci flowers.