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Today's weeding provided a surprise. In all my life's gardening experience, it is unique. I was removing the remains of an univited visitor that arrived in my flowerbed last year. It is an attractive plant that grows tall and stately. The bright green leaves and spikes of delicate white flowers grew to be so lush that I never observed its stem until today. My fingers provided the first hint of an amazing experience. They discerned flat sides and right angles! The stem takes the form of a perfect, right-angled, geometric square!
We live imbedded in
spheres. Our biosphere consists of the
troposphere which is nested within the stratosphere, the mesosphere, the
thermosphere, and the ionosphere. Spheres abound within the biosphere as well.
Bubbles, immune cells, grapes, and a multiplicity of other objects benefit from
the sphere’s super efficient means to encompass volume. Yet the contemporary
environment is replete with boxes. Four
walls comprise the settings in which we learn, work, sleep, eat, play, and
relax. Four sides comprise the containers
for our possessions. When we die, we are
placed inside a box and another box marks our grave. Boom box, mail box, cable
box, batter’s box, Unix box. The box has usurped the sphere to become the
ubiquitous form that dominates contemporary lives.
Thus, I wondered, why
is it that when we are trapped we feel “cornered”, not curved. When we are
constricted we are ‘boxed in’, not sphered. When we attempt to escape our
predicaments we try "thinking outside the box", not in it. We prefer
being “well rounded”, not well angled. When things are going well, you are “on
a roll”, not on a plane. These phrases reveal the desire to escape the
box.
The
sphere existed eons before humans started constructing shapes. Copernicus exulted in the wondrous
properties of spheres. This celebrated 16th century astronomer explained why
the universe was shaped in this manner. “The reason is either that, of all
forms, the sphere is the most perfect, needing no joint and being a complete
whole, or that it is the most capacious of figures, best suited to enclose and
retain all things, or even that all the separate parts of the universe, I mean
the sun, moon, planets, and stars, are seen to be this shape, or that wholes
strive to be circumscribed by this boundary, as is apparent in drops of water
and other fluid bodies when they seek to be self-contained.”
The
sphere’s venerable role in the world’s mythologies, religions, and art may
derive from these remarkable features. By possessing only one surface, it alone
among all solids is undivided. It is irreducible because it
has no parts. It is ultimately efficient because it uses the least surface area
to encompass space. It is omnidirectional because it can rotate in all
directions. It is the least resistant
to friction, the most resistant to pressure, the least vulnerable to damage, and the
most uniform. The miracle of life
transpires in spheroid seeds, eggs, and wombs. Cosmic eggs are
conjured
in many cultures as the enchanted sites of the birth of deities and even
the
origin of the universe. Spheres are signs of life and creation and
perfection.
But boxes have special advantages as
well. They offer an efficient
means for packing because there is no wasted space between units. Boxes resist forces of change. While they provide strength, they also suffer from rigidity.
Even abstracted from their role defining objects, shapes convey rich narratives.
- Spheres
adjust to dynamic conditions; boxes resist change.
- Spheres establish accord
between humans and the non-human environment. Boxes keep the
non-human environment at bay.
And then there is the gorgeous newcomer to my garden that stands proud and erect on a stem constructed of right angles!
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