¶ Projective Transformation (1)
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Index Entry
Projective Transformation: Raleigh Edition:
The projective transformation employed “in the Raleigh Edition of the Dymaxion Airocean World is that of the spherical icosahedron, chosen because the latter has the largest number of identical and symmetrical spherical triangles, and therefore the least ‘spherical excess’ of all the possible symmetrical triangular great circle bound mathematical cases. The spherical icosahedron was also chosen because its controlling arc boundary of 63 degrees 26 minutes 05.816… seconds was just adequate to the triangular spanning of the maximum continetal aspects encountered in the unpeeling of the Earth’s data-- within 20 symmetrical great-circle bound control triangles-- spanning those continents in such a manner that all 12 vertexes of the spherical icosahedron grid lay in the open waters. As a result this peeled strip map contains all the world’s continental contours. . . with no displeasing distortions of the shapes.”
