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MatheMUSEments
Global Views
By Ivars Peterson
Muse, September 2002, p. 42.
Imagine yourself inside a fishbowl, looking out. What might
you see? Perhaps a fish darting around in the water, strands of
seaweed, the table on which the fishbowl rests, a packet of fish
food on the table, and a cat staring into the bowl, its paw
touching the glass.
The puzzle for artist Dick Termes, who lives in Spearfish,
South Dakota, was how to paint such a scene, showing all that
surrounds you. His answer was to paint the scene not on a flat
canvas but on the surface of a large plastic ball. Using
geometry, he worked out a way to translate the view from inside a
sphere to the outside of one.
In Termes's sphere painting of a fishbowl, you can even see
beyond the table and cat to glimpse the rest of the room and a
kitchen to one side, where someone has apparently just finished
eating fish for supper and left only bones on the plate.
Hung from a rod, the painted ball slowly rotates, presenting
six different viewpoints. Amazingly, as you stare at the
revolving sphere, it appears to pop inside out. You feel as if
you are sucked inside to get a weirdly distorted, inside-out view
of the painted scene. It's a remarkable optical illusion.
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Dick Termes |
Termes has painted all sorts of scenes on the surface of
spheres, including the interiors of famous buildings, many
different geometric patterns, and various imaginary "dream"
worlds. His largest "termesphere" started out as an
orange, rotating Union 76 gas station sign, seven-and-a-half feet
in diameter, and ended up at the Wyoming Law Enforcement Academy
in Douglas, Wyoming.
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Order/Disorder |
Termes's sphere paintings even give you a rough idea of what
your surroundings might look like if you were moving at nearly
the speed of light300,000 kilometers (about 186,000 miles) per
second. Physicists have shown that no object can travel faster
than this speed, and as you get closer to the universal speed
limit, the appereance of your surroundings becomes distorted,
much as does Sainte Chapelle in one of Termes's sphere paintings.
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Sainte Chapelle |
Termes enjoys thinking about mathematical patterns, and he
loves explaining and illustrating what he does so that we can all
see the world from new, unusual perspectives.
Dick Termes has a Web site at
http://www.termespheres.com/.
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