coregames -> RE: spherical maps (5/3/2005 7:28:12 AM)
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Highway to the Reich doesn't use a global spherical map does it? On a two-dimensional map, discrete location is much easier to keep track of without the use of "spaces". I understand about great circles and pathfinding, but it's not as simple as vector addition, since the geometry is non-euclidean (a vector cannot be extended indefinitely, and curvature comes into play). Of course, area movement compensates for this by an unusually huge Greenland on the Risk map... but hexes or a triangular grid projected onto an icosahedron are more accurate if polar distortion is to be avoided. I'm certain even HttR uses a grid of some kind, even if the increment is smaller than the units themselves, otherwise how could you ever calculate range? With a sphere, there is simply no way to map a square grid onto it without gross distortion, as in latitude and longitude. Some kind of discrete location must be available, no matter how small, and the best grid fit to reduce overall distortion is the icosahedral hex-based map.
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