¶ Grid Basis: Multipolygonality of Great Circle Grids
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Index Entry
Grid Basis: Multipolygonality of Great Circle Grids:
“It is a matter of Dymaxion cartographic strategy that: the greater the number of great circle polygonal zones employed in the transformation, the less the spherical excess to be subsidingly concentrated within each zonal surface, and therefore the less the residual distortion distributed to each of the planar mosaic aspects of the whole world’s reassembled surface when arrayed in one continuous flat ‘skin.’”
The projective transformation “represents the only method by which the whole world data can be transferred from the spherical to the planar within an all great circle grid triangularly, quadrangularly, multipolygonally or all two or three together.”
“Because of a hemisphere’s polar symmetry to its opposite polar hemisphere the total inventory of great circle grid triangles in the comprehensive world grid is always even in number, therefore adjacent triangles may always be associated in total or partial quadrangular pattern-phases without increase in vertex count.”
