
706.30
FailSafe Advantages: With each increase of frequency
of triangular
module subdivisions of the sphere's unitary surface,
there is a corresponding increase in
the failsafe advantage of the system's integrity. The
failure of a single triangular cork in
an omnitriangulated spherical grid leaves a triangular
hole, which, as such, is structurally
innocuous, whereas the failure of one stave in a simplecurvature
barrel admits infinity and
causes the whole barrel to collapse. The failure of
two adjacent triangular corks in a
spherical system leaves a diamondshaped opening that
is structurally stable and
innocuous; similarly, the failure of five or six triangles
leaves a completely arched, finitely
bound, and tensionally closed pent or hex opening that,
being circumferentially surrounded
by great circles, is structurally innocuous. Failure
of a single sphericaltension member
likewise leaves an only slightly relaxed, twoway detoured,
diamonded relaying of the
throughway tensional continuity. Considerable relaxing
of the spherical, triangulatedcork
barrel system by many local tension failures can occur
without freeing the corks to
dangerously loosened local rotatability, because the
greatcircle crossings were
interfastened, preventing the tensionally relaxed enlargement
of the triangular bonds. The
higher the frequency and the deeper the intertrussing,
the more failsafe is this type of
spherical structure.
