Tetrahedra and Icosahedra with Water





 
 

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Taken in Summer 2001 on a trip through Northern Arizona while driving through the Switchbacks of Oak Creek Canyon between Flagstaff and Sedona. The stage-3 Sierpinski tetrahedron and icosahedron are sitting on a rock in Oak Creek. The icosahedron has inside of it an interior structure of an intersection of three golden rectangles. Some floating leaves, or a fish, might be a nice addition to the drawing.


 
 
 

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I have made the enlarged image much bigger for this picture, as it is a terrific view of the stage-4 Sierpinski Tetrahedron. Taken at the Phoenix Zoo sometime in late Spring 2001. Print on "Landscape" setting.


 
 
 

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Okay, this is the Water section and this photo clearly isn't of water!  But look at the drawing. I put water in the drawing. The photograph has great lines, but all that grassy background along with those trees made it impossible to trace. The tetrahedron is a Sierpinski stage-4.  The place is the Boyce Thompson Southwest Desert Arboretum outside of Superior, Arizona, taken in March, 2001.

I really cheated on the water level here in order to be able to see water from the running river through the spaces in the tetrahedron. A child might want to add some background detail, like trees, or flowers around the windmill.


 
 
 

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Stage-3 Sierpinski tetrahedron painted in a deep rose-red-orange mixed from: cadmium orange, naphthol red light, quinacridone red, cadmium yellow light, and titanium white. Photo taken on the Southwest Trail of the Phoenix Zoo in Spring 2001. Someone pointed out to me the triangular shape of the rock.  It kind of "fits" with the tetrahedron. The plant sitting next to it is Umbrella Grass. It is classified as a weed in Arizona, it is an ornamental plant that can escape cultivation.

Anything could be done with this drawing. No water is shown, the tetrahedron could just as well be sitting on a rock on the ground as in the water.


 
 
 

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This was taken at the Phoenix Zoo. It is hard to see the water, but it is there if you look closely, with the trunks of the palm trees reflected in it. The grass in the foreground is Scirpus sp.. The trees with arching trunks in the background are Gooding Willows (Salix goodingii), and the trees with straight trunks are Palms (Washingtonia filifera).


 
 
 

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This is a very special picture, because it was taken by an eight-year old youth reporter, Griffin Folkert. The Pinnacle Press, a newpaper by children for children run by Scottsdale moms, was reporting on a two-day event with preschoolers from the ASU College of Education preschool. Griffin has a very good eye with the camera. Each youth reporter had their own disposable camera and they took photographs without any outside instruction or input. The only thing I did was crop the picture.


 
 


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