Module 17

Support & Resistances 2 – The Fibonacci Magic

The "greatest Europeanmathematician of the middleages", his full name was Leonardoof Pisa, or Leonardo Pisano inItalian since he was born in Pisa.

He was one of the first people tointroduce the Hindu-Arabicnumber system into Europe - thepositional system we use today -based on ten digits with itsdecimal point and a symbol forzero.

1 1 2 53 8 13 5521 34 89 144 233 377

618.0377233

6180233144 . 618.0

144

89

382.0377

144

236.0377

89

618.0618.0

382.0

618.0382.0

236.0

618.089

55

618.1233

377

618.2144

377

236.489

377

618.0618.2

618.1

618.0236.4

618.2

618.0ab

618.0baa

a + b is to a as a is to b

A golden spiral gets wider (or further from its origin) by a factor of Φ for every quarter turn it makes.

20

10 18,6618,010

82,1318,600,20

10618,118,6

82,231082,13

x

T

B

T

B

ATH

B

ATL

61.8

38.2

23.6

T

B

ATL

B

T

T

ATH

61.8

38.2

23.6

ATH

T

B

B

ATL

161.8

261.8

423.6161.8

261.8

T

B

B

ATH

ATL161.8

261.8

423.6

161.8

261.8

61.8%