Anybody knows if the world is still a globe, visible when you zoom out?
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You can't make a globe from hexagons, no matter how hard you try. As Hauldren Collider says, you need to mix in some other shapes.
The most obvious solution is to throw in 12 pentagons, which combined add enough curvature to make a sphere (well, an icosohedron, which can be 'inflated' to a spherical map without too much distortion). An alternative is to use 6 squares instead of 12 pentagons, although the resulting shape is further from spherical and so you have more distorted hexagons when you 'inflate' it. Strictly speaking you can also use hexagons with 4 triangles, but then you are basically inflating a tetrahedron to become a sphere, and it probably won't look very good.
You can play the same trick with square tiling incidentally, with 8 triangles at the corners to provide the curvature. Noone ever bothered proposing this for civ 14's squaretiled maps though.
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I would assume that they use the same problem as using squares on a 2D map since hexagons forms a nice 2D shape.
We all know a flat map cannot be put into a globe . . . however, map makers had to face this problem.
The geodesic spheres are amazing, and when chemist began to use them, they too were amazed and named them buckyballs which is a truncated icosahedron. Knowing that it can be put into a physical ball, the mathematics is simple:
5F(p) + 6F(h) = 2E = 3V => F(p) = 12.
Or we just say that it has 32 faces, 20 hexagons and 12 pentagons since 20 + 12 = 32.
Map making techniques transform 2D squares into globes . . . so hexagons would not be a problem . . . however, zooming is a computer method which involve fractals.
I was wondering if we could zoom into the topological level like in FrontierVille
Brian Reynolds, the 20year game design veteran of such gamer classics as Civilization II and Alpha Centauri. He says . . .
http://kotaku.com/5559197/frontiervi...htbemorefun
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Originally posted by SSBLoveU View PostI would assume that they use the same problem as using squares on a 2D map since hexagons forms a nice 2D shape.
We all know a flat map cannot be put into a globe . . . however, map makers had to face this problem.
The geodesic spheres are amazing, and when chemist began to use them, they too were amazed and named them buckyballs which is a truncated icosahedron. Knowing that it can be put into a physical ball, the mathematics is simple:
5F(p) + 6F(h) = 2E = 3V => F(p) = 12.
Or we just say that it has 32 faces, 20 hexagons and 12 pentagons since 20 + 12 = 32.
Map making techniques transform 2D squares into globes . . . so hexagons would not be a problem . . . however, zooming is a computer method which involve fractals.
I was wondering if we could zoom into the topological level like in FrontierVilleOriginally posted by vulture View PostYou can't make a globe from hexagons, no matter how hard you try. As Hauldren Collider says, you need to mix in some other shapes.
The most obvious solution is to throw in 12 pentagons, which combined add enough curvature to make a sphere (well, an icosohedron, which can be 'inflated' to a spherical map without too much distortion). An alternative is to use 6 squares instead of 12 pentagons, although the resulting shape is further from spherical and so you have more distorted hexagons when you 'inflate' it. Strictly speaking you can also use hexagons with 4 triangles, but then you are basically inflating a tetrahedron to become a sphere, and it probably won't look very good.
You can play the same trick with square tiling incidentally, with 8 triangles at the corners to provide the curvature. Noone ever bothered proposing this for civ 14's squaretiled maps though.
Another proof that the civ community is very smart
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You are all a bunch of nerds.Founder of The Glory of War, CHAMPIONS OF APOLYTON!!!
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Originally posted by Hauldren Collider View PostNo. Think about that for five minutes.The whole problem with the world is that fools and fanatics are always so
certain of themselves, but wiser people so full of doubts.
 Bertrand Russell
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Originally posted by MxM View PostWhile my question was more like a joke, why not? I do not see too much difference between hexagon and triangle. Plus, one can create a globe out of triangles.
So if you work with triangles to form a globe, you can then group them together into hexagons, and lo and behold, you find you have 12 pentagons lurking amongst them.
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Originally posted by SSBLoveU View PostI would assume that they use the same problem as using squares on a 2D map since hexagons forms a nice 2D shape.
We all know a flat map cannot be put into a globe . . . however, map makers had to face this problem.
The geodesic spheres are amazing, and when chemist began to use them, they too were amazed and named them buckyballs which is a truncated icosahedron. Knowing that it can be put into a physical ball, the mathematics is simple:
5F(p) + 6F(h) = 2E = 3V => F(p) = 12.
Or we just say that it has 32 faces, 20 hexagons and 12 pentagons since 20 + 12 = 32.
Map making techniques transform 2D squares into globes . . . so hexagons would not be a problem . . . however, zooming is a computer method which involve fractals.
I was wondering if we could zoom into the topological level like in FrontierVilleYou just wasted six ... no, seven ... seconds of your life reading this sentence.
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