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Dymaxion Airocean World Map:
"In my projection method I hold uniform boundary scale, and all variation is internally symmetrical within the uniformly-edged-bound pieces…Alteration consists of identical and symmetrical angular contraction in respect to each of the corners of the pieces as the spherical excess subsides. My topological transformation method can use any symmetrical geometry, whether it is tetrahedral, cubical, octahedral, icosahedral, et.al. What you speak about as the cubo-octahedron I speak of as the vector equilibrium, its radial and chordal vectors being of equal magnitude and abundance… The vector equilibrium has the virtue of having a boundary scale of 60 degrees for each of the pieces, and its spherical excess is slightly less than that of the icosahedron; ergo, the distortion is mildly less than that of the icosahedron (72°-60°-12° spherical excess).
"It took me two years after the Life Magazine presentation to find a way in which all the 12 sinuses involved in unpeeling a sphere and laying it flat would occur in one ocean. If you will look at what I call the Dymaxion Airocean World Edition you will find that I have one triangle spanning between the unitaryEurope-Asia-Africa land mass, the triangle’s three edges reaching between the Atlantic Ocean (off Norway), the Indian Ocean and the Pacific Ocean. This required agreater than 60-
