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A geodesic sphere would actually be easy to implement. The secret is to stop thinking of hexagons and pentagons and use triangles instead.
A geodesic sphere is basically a dodecahedron with hexagons inserted between all the pentagons. But there's another regular solid that is similar, and that is the icosahedron. This is the regular solid composed of 20 equilateral triangles. It is equivalent to the dodecahedron, and can be made from the dodecahedron by swapping the faces of one solid for the vertices of the other.
An icosahedral sphere would be easy to implement in various sizes. The total number of grid triangles on the smallest icosahedron is 20, and larger ones of order 'n' are composed of 20 * n * n triangles, with each of the 20 large triangles of the icosahedron being composed of n * n triangles, with n triangles to a side.
There will be 12 vertices surrounded by 5 triangles, and all the rest will be surrounded by 6 triangles.
A geodesic sphere is basically a dodecahedron with hexagons inserted between all the pentagons. But there's another regular solid that is similar, and that is the icosahedron. This is the regular solid composed of 20 equilateral triangles. It is equivalent to the dodecahedron, and can be made from the dodecahedron by swapping the faces of one solid for the vertices of the other.
An icosahedral sphere would be easy to implement in various sizes. The total number of grid triangles on the smallest icosahedron is 20, and larger ones of order 'n' are composed of 20 * n * n triangles, with each of the 20 large triangles of the icosahedron being composed of n * n triangles, with n triangles to a side.
There will be 12 vertices surrounded by 5 triangles, and all the rest will be surrounded by 6 triangles.
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