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With 8 sides I could go all directions in a striaght line....
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Not all directions... Just the 8 on the keypad...
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The longer i think about the map the stronger i'm getting convinced that the game doesn't need tiles at ALL.
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It was mentioned before to make the map a Point system instead of a box system. I support that idea.
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Abandoning tiles altogether would fundamentally change the nature of the game... it wouldn't really be civ anymore... And that wouldn't just apply to unit movement. Worker allocation, terrain generation, terrain improvement, combat and various other things would have to be significantly changed...
For Reference,
HERE is an (very low quality) illustration of my triangles cut up into isometric tiles idea.
There would however be a problem with the above idea at the border between the original sides of whatever shape was further broken up into triangles... as the spacing would change (an unflipped triangle in the row where there should be a flipped one