Tetrahedra and Icosahedra with Flowers



 
 

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Taken in March 2001 at the Phoenix Desert Botanical Gardens. Stage-3 Sierpinski Tetrahedron and an icosahedron with African Daisies. The icosahedron has an interior structure of an intersection of three golden rectangles. I left the interior structure out of the icosahedron in the drawing. It wasn't clear enough in the photograph to see underneath tracing paper. Print on "Landscape" setting, found under "Page Setup" or "Print Options."


 
 
 

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Taken on a hot day at the Phoenix Zoo in April 2001, these Transvaal Daisies (Gerbera jamesonii, the wild ones come from South Africa) look refreshing with the stage-3 Sierpinski Tetrahedron sitting next to them.


 
 
 
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Stage-2 Sierpinski Tetrahedron with Sunflowers (Helianthus annus). Taken at the Phoenix Zoo in May or June of 2001.The haziness of the picture is from my camera having taken in moisture from overhead misters a few minutes earlier, ruining most of the pictures that day while enhancing a few. Notice the little unopened bloom at far-right-middle. It gives the impression that a tiny tetrahedron might be getting ready to bloom.


 
 
 

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Stage-3 Sierpinski Tetrahedron, painted in Cadmium Yellow Medium, set in bright flowers at the Phoenix Zoo sometime in Spring 2001, with an almost "birds-eye" (head-on) view of the tetrahedron. The flowers are some kind of an Ice Plant, could be Drosanthemum speciosum. Notice that no matter how intricate the detail inside the structure, i.e., no matter what stage the structure is, the outside shape of any member of the Sierpinski Tetrahedron family remains intact, preserving the outer shape of a tetrahedron.


 
 
 

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This picture of a stage-3 Sierpinski with flowers was taken at ASU right off of one of the parking lots. It was really difficult to trace this photograph. The lines weren't sharp enough. I have included it only because the photograph is so beautiful when looked at closely.


 
 
 

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This is another misty picture like the sunflowers above, taken shortly after my camera lens took in moisture. The mist inside the lens made the pictures glow. This photograph warrants a close look from the enlarged version. Notice especially the exquisite green frame running the length of the top edge. It is some kind kind of Feather Leaf Palm. The beautiful red flower is a Hybiscus (Hybiscus sinensis). Taken at the Phoenix Zoo.

It was really difficult to trace this photograph. The lines weren't sharp at all. I have included it only because the photograph is so beautiful when looked at closely. NOTE: the tetrahedron in the drawing has a significant error in it. Instead of correcting the drawing as I had originally intended to do, I have decided to leave the error intact, because identifying it might be a challenging and fun thing to do. Right after making the trace, I could tell that something was wrong, but it took me a good while to see what it was. Even though it is a big error, it is rather subtle to detect, and the error is isolated to the tetrahedron.


 
 
 

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It was so much fun putting this light buttercup yellow Sierpinski Tetrahedron constructible with these Bearded Irises at the Phoenix Zoo. The tetrahedron is sitting on an unopened bloom. I took great care not to harm the bloom.


 
 


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