¶ Projective Transformation
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RBF Definitions
"Going from the spherical to the planar condition with fige 60° angles around each vertex means that there are going to be sines opening up to 60°. I would like to have the sine opening in the ocean and not on the land because one of the most unsatisfactory things about looking at the Earth’s data on classical map projections is that the constituents themselves are always being distorted in an unfair way. The other fellow’s continent is always being broken up instead of our own.
"Taking all the Earth’s data from the spherical icosahedron to the planar icosahedron permits the corners of the large equilateral triangles to be reduced from 72° to 60° so that there remains only a 20° spherical excess. By using an equilateral triangle that is symmetrical with each of the corners having equal subsidence, the amount of contraction becomes invisible and concentric uniform boundary scale is held for the entire length of the triangle edge, and there is no change in this when going from the spherical to the planar condition.
¶ Citations
- RBF, Univ. of Rhode Island, 26 Aug. '66, pp. 197-198.
