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Viewing Nature
through Math Lenses
Iwan Pranoto
3 November 2012
Which rectangle do you
like the most?
A B C D
@iwanpranoto
@iwanpranoto
1,1,2,3,5,8,…
@iwanpranoto
http://www.morrischia.com/david/portfolio/boozy/research/fibonacci's_20rabbits.html
Fibonacci Sequence
1 1 2 3 5 8 13 21 …
@iwanpranoto
Flowers
@iwanpranoto
Reality isn’t ideal
@iwanpranoto
@iwanpranoto
Pinapple
@iwanpranoto
1
2
3
4
5
6
7
8
1
2 3
4
5
6
7
89
10
11
12
13
Spirals
@iwanpranoto
8
@iwanpranoto
13
Fibonacci Sequence to
Golden Ratio
1 2 3 5 8 13
1 1 2 3 5 8
1 2 1.5 1.67 1.6666667 1.625
@iwanpranoto
Converging to
Divine Ratio
@iwanpranoto
Finland’s Flag (18/11)
1.6363636363…
@iwanpranoto
@iwanpranoto
@iwanpranoto
Parthenon, Acropolis, Athens
@iwanpranoto
@iwanpranoto
Monalisa
@iwanpranoto
St. Jerome
Extended Arm
@iwanpranoto
Design
@iwanpranoto
So, why should
we teach ugly
math to our kids?
@iwanpranoto
3 Nov 2012
@iwanpranoto

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