A number of years
ago, I had the privilege of attending a lecture by the late R.
Buckminster Fuller, in which he stated one of the fundamental
objectives of his work: He wanted to create technologies that would
allow more people to have enough.
He said that the
geodesic dome was a result of such thinking, in that it allowed large
areas to be enclosed by a much smaller amount of structural material.
I began then
wondering if this principle could be applied to flat structures of
practical sizes. I wanted to span them with shorter pieces of
material that would normally be dumped or burned as junk.
This
simple layout shown here provided me with a small picnic deck from
some junk crate wood I happened to have around.
Ironically,
this structure led to the idea of the "any-stick
shelter"
described at the beginning of this section, winding up as a dome
again.
When properly
connected, the dead load on any element would be 2/3 the amount that
a single element of the span could hold by itself.
Later, when I wanted
an economical layout that would be more compatible with a round
(dome) structure, I came up with the hexagonal deck layout shown
here: The only supports needed are at the outside corners or points.
Keep in mind that the internal pattern could theoretically be
repeated to any size. Only the perimeter would require longer pieces
or more supports.
You
might find it interesting that this hexagonal layout can also be
translated into an "any-stick
shelter"
structure, but it is much trickier to assemble, and is probably not
as practical.
The area of a hexagon
will be the length of one of its sides squared, times 2.5981.
The center-to-center
length of the internal pieces of this structure will be 2/3 the
length of one of the sides.