¶ Dymaxion Airocean World Map
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Dymaxion Airocean World Map:
"60° apexes also coincide at the center of the sphere. The apexes of all other spherical segment tetrahedra either fall beyond the center or fall short of the spherical center. This particular spherical triangle and tetrahedral unit which I have used is the only exception.
“It happens, however, that this symmetrical subdivision of the surface of the sphere by my eight spherical tetrahedra leaves a void of six spherical squares whose chords and radii form spherical pyramids whose apexes also coincide with the center of the sphere. Thus this system provides uniform and symmetrical chords and radii, any right angle or diagonal subdivision of which on the spherical surface must be the intersection of a plane passing through the center of the sphere and is therefore a great circle. Thus it is possible by employing these unique spherical equiangular triangles and ‘squares’ (quadrangles) to provide a quadrangular grid of great circles in the square and unique symmetrical triangular grid of great circles in the triangle (great circle phenomena not found in any other symmetrical spherical triangle) both symmetrically and uniformly subdividing the enclosing boundaries that allows of universal plane geometry projection”
