Polkadot JAM Slides - Token2049 - By Dr. Gavin Wood
6) fibonacci spiral
1. 4th February 2010
Objective: to create a Fibonacci spiral
Skills: Making Links and Questioning
By the end of the lesson:
All: will be able to generate terms in the Fibonacci
sequence.
Most: will be able to complete the Fibonacci spiral.
Some: will colour their Fibonacci spiral.
2. Starter
• How far can you get with the Fibonacci sequence?
• You have 3 minutes to get as far as you can.
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377,
610, 987, 1597, 2584, 4181, 6765, 10946,
17711, 28657, 46368, 75025....
4. Fibonacci Sequence
• Here are the first terms of the sequence that
we will be using to create our spiral.
1, 1, 2, 3, 5, 8, 13, 21, 34
• Step 1
• Draw a rectangle 34 squares long and 21
squares high
• DOUBLE CHECK AFTER YOU HAVE DONE IT
6. Fibonacci Spiral
• Step Two
• Turn the page clockwise, count in 21 squares and draw a line
from one side to the other. 21 squares
13 squares
Step Two
Turn the page clockwise,
count in 21 squares and
draw a line from one side
21 squares to the other
34 squares
7. Fibonacci Spiral
• Step Three
• Turn the page clockwise and count in 13 squares and do a line
across until you meet the previous line.
34 squares
8 squares
21 squares
13 squares
21 squares
13 squares
8. Fibonacci Spiral
• Step Four
• Turn the page clockwise, count in 8 squares and draw a line
across.
5 squares
8 squares
9. Fibonacci Spirals
• Step Five
• Turn the page clockwise and count in 5 square and draw a
line.
5 squares
3 squares
10. Fibonacci Spiral
• Step Six
• Count in 3 squares, draw a line. Turn again and count
in 2 squares and draw a line. Finally turn and count in 1
square and draw a line.
11. Fibonacci Spiral
• Now you need to use a compass to draw the
curves.
• Set them as wide as they need to be to draw a
quarter circle.
• You will need to adjust them for every section.
