¶ Projective Transformation Model (2)
← Projective Transformation Model (1) | Projective Transformation Model (3) →
Index Entry
Projective Transformation Model:
“This will make each one of the steel bands bend. As each one of these bent or arched bands also rotates away from the others, each of the corner angles will be opening up and the three swivel end bands form a spherical triangle.”
“In my projection I’ve used great circles for the edges of the spherical triangles and marked them with a uniform boundary scale. A set of fundamental perpendiculars to the great circles, as the radii of the sphere, come at even modules onto the great circles. I have interconnected these edge modules of the spherical triangles with the three-way grid. With this three-way grid I could do as I did above with the tempered steel bands and produce a three-way grid of small spherical triangles within the large spherical triangles of the icosahedron. I can put a grommet where each of these steel bands cross and run a rod through perpendicularly which would represent the radius of the Earth going into the center. Imagine the triangle in a flat or planar condition, with a great many of these bristle-like rods going perpendicular to the surface of the triangle and then pulling them all together at their free ends. The triangles of the three-way grid all form spherical triangles.”
