¶ Twenty-Foot Earth Globe and 200-Foot Celestial Sphere
← Twenty-Foot Earth Globe and 200-Foot Celestial Sphere | Twenty-Foot Earth Globe and 200-Foot Celestial Sphere →
RBF Definitions
"perpendicular to the midchord and solving for the right triangle
thus formed, whose halved-chord outer edge is the side opposite
its central angle which is half the central angle originally
given, and we know that the sine of an angle is the side opposite.
When radius is assumed to be one then the well-known
sine of 1/2 the original angle given is the length of that half
chord. With the chord length calculatable for a given central
angle it is easy to calculate the length of any line running
between the outer end of one of the radii to a position on the
other radius at a known distance outward from the spherical
center. With this knowledge we can design struts of suitable
structural material, say aluminum tubes, and we may triangularly
interconnect all the vertex points of the triangular grid of
the 200-foot sphere, then we can triangularly interstrut all
the grid points on the inside of the whale, then we can interstrut
all the grid vertexes of the crocodile, and finally intertri-
angularly strut the 20-foot Earth globe.
"Now again, viewing outwardly in all directions from the common
volumetric centers of those concentric forms, we will see nothing
changed because all the struts will be in register with all the"
¶ Citations
- SYNERGETICS draft at Secs \href{https://www.buckyverse.org/en/synergetics/content/chapters/1100-triangular-geodesics#section-1110.10}{1110.10}-11, 25 Jan’73
