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The Sierpinski Carpet Project is a nonprofit, collective and joint activity among children, from 3 to 99 years old, around the world. We want to build a giant geometric fractal, known as Sierpinski Carpet, with coloured squared stickers.
1. Activity Worksheet number 3 and 4
2. Building the fourth interaction:
Every child makes the 2nd iteration.
Every child gets one copy of these templates (type P or G), together with 32 purple stickers and 32 green stickers and makes one the following 2nd iterations:
For the 4th iteration we need 32 filled templates with purple corners, and 32 with green corners.
STEP 3: 8 children can form the 3rd iterationn
Each group of 8 children makes the 3rd iteration as shown in the next pictures. The rule is that two squares together must be of different colours.
Position before gluing the 3rd iteration with purple corners.
3rd iteration with purple corners. Students make 4 of these copies with purple corners + 4 copies with green corners.
STEP 4: Construction of the 4th iteration
8 copies of the 3rd iteration give the 4th iteration of the Sierpinski carpet. You can mount it over the floor, a big table, or over a wall using blu-tack (or similar).
According to the assigned number (see LIST OF PARTICIPANTS), the center chooses one of the two carpets (although this does not matter now with the new instructions):
if odd, follow the model with purple corners;
if even, the model with green corners.
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