Fractals, Fibonacci numbers in Nature 17 mai 2015
1 Sommaire 1
Sommaire ........................................................................................................................................ 1
2
Presentation .................................................................................................................................... 1
3
Fractals in nature ............................................................................................................................. 3
4
5
6
3.1
The Von Koch curve ................................................................................................................. 3
3.2
The Sierpinski triangle ............................................................................................................. 3
3.3
The Sierpinski carpet ............................................................................................................... 3
3.4
Hilbert’s fractal ........................................................................................................................ 4
3.5
Cantor set ................................................................................................................................ 4
3.6
The fractal of the dragon ......................................................................................................... 4
3.7
Pythagoras tree ...................................................................................................................... 4
3.8
Fun with fractals ...................................................................................................................... 4
Fractals in augmented reality .......................................................................................................... 5 4.1
Create an aura for your fractal overlaying a video .................................................................. 5
4.2
With AurasmaStudio ............................................................................................................... 6
4.3
With your smartphone ............................................................................................................ 8
Example of a fractal created with aurasma ..................................................................................... 9 5.1
QR code ................................................................................................................................... 9
5.2
Trigger image ........................................................................................................................... 9
More ideas to work on .................................................................................................................. 10 6.1
Fibonacci numbers in flowers ................................................................................................ 10
6.2
Fibonacci numbers in the world of bees ............................................................................... 10
6.3
Fibonacci numbers in the rabbit’s reproduction ................................................................... 10
6.4
Fibonacci numbers in greek architecture .............................................................................. 10
2 Presentation Main idea This activity will lead you in the nature, to find mathematics objects. Organisation / Methodology Group of two students, at least one of them owning a smartphone !