The icosahedron fractal grows in powers of 12, corresponding to the number of vertices of an
icosahedron. This means twelve icosahedra can be constructed to form yet another icosahedron, with
volume removed.

Above is my one and only experience in making an icosahedron fractal. I made it for my
granddaughter, Sydney Renee, then 20months old, in March 2005. Now she is almost two. She likes
it, and of course has no idea what it is, nor do I try to tell her. We throw it across the room and
have fun with it. Her eyes can see the pretty patterns, and as she grows up, she will be able
to learn more about it and appreciate it in different ways. 
This is one of Reimund Albers images of a Stage2 icosahedron fractal taken from his
Quicktime Movie
that shows two stages of growth. Next to it is an image of a handmade Stage2 icosahedron fractal. 
These are images from a geometry institute in Munich,(the LMU Mathematishches Institut's GeometrieWochenende 19.21. Jan 2001 an der Universitat Muenchen in Zusammenarbeit mit "Spektrum der Wissenschaft") that Reimund attended in January 2001. The photos were taken by Reinhard Weber. The left image shows twelve completed stage2 icosahedron fractals waiting to be connected into a stage3 icosahedron fractal. It is nice that they are laid out this way, so you can actually count them. In the image on the right, the stage3 is about halfbuilt, giving an interior view of what is to come. 
The completed Stage3 Icosahedron fractal built at the Munich workshop referenced above. Can you see the Stage2's within the structure? See other photos from their workshop here. 
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