Tetrahedra and Icosahedra in Snow



 
 

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This is a real ranger cabin in the Switchbacks of Oak Creek Canyon, taken in winter of 2001 on a drive between Flagstaff and Sedona.


 
 
 

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Taken in Flagstaff close to dusk on January 31, 2001. The shadow must have extended a long way in the snow. Too bad I missed getting the whole thing!


 
 
 

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It is difficult to make out the tetrahedra without enlarging the picture. What is striking to me about this picture is the presence of the tetrahedrons from such a distance away. They are so tiny compared to the surroundings and yet they aren't blotted out. I find this to be amazing. This picture was taken in Winter of 2001 at the Sunset Crater National Park outside of Flagstaff, Arizona. The drawing is made from a zoomed-in shot that was taken at the same time.


 
 
 

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This stage-3 Sierpinski tetrahedron (why is it a stage-3? ...draw a straight line with your finger down the middle of one of the faces of the structure from top to bottom and count the number of openings) looks like it sits on some surf that was flash-flozen. Taken at Sunset Crater National Park outside of Flagstaff, Arizona, on 1/31/01.


 
 
 

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The big, colorful tetrahedron furthest back fell to pieces the day after this picture was taken from the wet of the snow (these are paper models) and had to be dried out and reconstructed later that night. Notice that the big stage-4 Sierpinski tetrahedron in the background of the photograph is a stage-1 in the drawing.


 
 
 

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Many of the rocks that weren't snow-covered here were ice-covered, my first experience with icy rocks. I had to climb down these rocks to get to the creek-bed with the tetrahedron. It was an exciting day where I fell a few times. There was a lot of maneuvering.


 
 
 

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The photograph is kind of unexciting here, although the tetrahedron is beautiful, it does not show off well against the big tree trunk. In this case, it is the drawing I like better. It would be so nice to see a little animal of some kind in this drawing, perhaps a squirrel.


 
 

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