M. J. Wenninger, Spherical Models, Cambridge Univ. Press, Cambridge, 1979.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....about the axis of the globe. Rotations about any other axis can not bring the cells into alignment. 5.1. Tesselations Based on Regular Polyhedra Better tesselations may be found by projecting regular polyhedra onto the unit sphere after bringing their center to the center of the sphere [31] Regular polyhcdra are uniform and have faces which axe all of one kind 3f regular polygon (They are also called the Platonic solids) 8, 10, 19, 23, 25, 26, 30] The vertices of a regular polyhedron are congruent. A division obtained by projecting a regular polyhedron has the desirable property ....

....than 16.2 degrees. One should also remember that the spread for triangular cells is even more, namely vr times that for hexagonal cells. 5.2. Geodesic Domes To proceed further, we can divide the triangular cells into four smaller triangles according to the well known geodesic dome constructions [19, 27, 31]. We attain high resolution by relenting on several of the criteria given above (Figure 18) Specifically, the cells of a geodesic tesselation do not all have the same area and shape. The cells are also not compact, being shaped like (irregular) triangles. The duals of geodesic domes are better in ....

Wenninger, Magnus J. (1979) Spherical Models, Cambridge University Press.

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M. J. Wenninger, Spherical Models, Cambridge Univ. Press, Cambridge, 1979.

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M. J. Wenninger, Spherical Models, Cambridge Univ. Press, Cambridge, 1979.

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