Activity19 augmented reality with fractals

Page 1

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 !


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