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NOTES
by William Blackwell
RECTANGLES
Like it or not, most of us live in a rectangular world. City street grids, automobiles
and parking spaces, buildings, rooms and cubicles, desks, our 8 1/2 x 11 sheets of
paper, are rectangular. Even the great Gothic cathedrals are repetitive rectangular
bays. The most photographed house of the 20th Century, Frank Lloyd WrightÕs
"Falling Water", is a marvelous composition of rectangles integrated into a natural
environment.
Until recently, the best of man-made
structures have followed man-made geometries. The one departure is the new Guggenheim
museum at Bilbao, Spain, which uses complex and expensive amorphous shapes generated by
computer. Is the usefulness of the Cartesian coordinate system at an end? I think
not.
Most of the shapes of elementary geometry relate to the
rectangle, and to the isosceles triangles generated by its diagonals. Regular polygons,
ellipses, parabolas, hyperbolas and their 3D equivalents - prisms, cylinders, cones,
ellipsoids, and paraboloids - all tie to the rectangle.
The artwork in this exhibit focuses
mainly on the rectangular relationships inherent in the elementary shapes of geometry
-- parabola, ellipse, spiral of the golden mean rectangle, etc.
COLOR
Piet Mondrian felt so strongly about the distinction between man-made geometry and
nature that he refused to use the color green. Josef Albers used geometry (squares) as
a means to neutralize other elements of art and focus exclusively on the interaction of
colors. As a part of his life-style, Goethe had a highly personal theory of color
encompassing sensuous, oral, and aesthetic effect as well as allegorical, symbolic, and
mystic uses.
Johannes Itten in his classic book The
Art of Color went so far as to suggest specific colors for specific geometric shapes -
red for squares, orange for trapezoids, yellow for equilateral triangles, green for
spherical triangles, blue for circles, violet for ellipses.
Itten also developed by experiment what
he thought to be correct proportions for complementary pairs of colors -- red and green
in equal parts, three parts yellow to one part violet, one part orange to two parts
blue.
The pure shapes of geometry do lend themselves to full
strength colors, and some seem to suggest particular colors. In the end, however, the
color selections are largely intuitive, chosen to achieve maximum clarity and harmony
in a fully resolved composition.
AESTHETICS
The aesthetics of geometry and mathematics are of two kinds. The first is the
undeniable beauty in the often surprising and sublime relationships that emerge in the
study of shapes, a never-ending voyage of discovery. The second is the pleasure derived
in the visual representation of these relationships and discoveries.
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