Re: In search of the perfect digital hexagon

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Re^2: In search of the perfect digital hexagon by Fletch (Bishop) on Aug 13, 2004 at 13:58 UTC
Another way is to use a two dimensional array (matrix), but only some locations are valid. Empire uses a scheme sort of like this: ---------0000000000111111111 9876543210123456789012345678 -8 . . . - - -8 -7 . . . . - ^ -7 -6 . . . . - - - - -6 -5 . . - . a a - ^ ? ? - -5 -4 . . . . k o ! - ^ ? ? ? -4 -3 . - . a h j a ^ ^ ^ ^ ^ - -3 -2 . . - . a a a ^ a a - - - -2 -1 . . . a a a b + + ^ ^ - -1 0 . . . m c u a a - ^ - ^ 0 1 . - . a a . a a - - ^ 1 2 - ^ ^ a a a ^ a - - ^ 2 3 - - - - - - - . . - 3 4 ^ - - - - - ^ - - 4 5 - ^ - - ^ - - - 5 ---------0000000000111111111 9876543210123456789012345678 (From the docs for the `map` command) To move east or west you use an increment of two to the x index (i.e. west would be `( x - 2, y )`); north / south is forbidden in this scheme since the faces are lined up W/NW/NE/E/SE/SW, although that's by convention and there's nothing saying you couldn't rule out east / west by adding to y instead (and in effect rotating the hex grid 90 degrees). To move any of the other four directions you add/subtract one to both coordinates (northeast would be `( x + 1, y - 1)`). You can easily verify if a coordinate pair's valid as both x and y have to be both odd or both even. If this is anywhere near what you were asking about you might take a gander at PEI, the Perl Empire Interface, which has code for dealing with maps of this type.	[reply]

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Re^2: In search of the perfect digital hexagon
by Fletch (Bishop) on Aug 13, 2004 at 13:58 UTC

Another way is to use a two dimensional array (matrix), but only some locations are valid. Empire uses a scheme sort of like this:

    ---------0000000000111111111
    9876543210123456789012345678
 -8        . . . - -             -8
 -7       . . . . - ^            -7
 -6    . . . . - - - -           -6
 -5   . . - . a a - ^ ? ? -      -5
 -4  . . . . k o ! - ^ ? ? ?     -4
 -3 . - . a h j a ^ ^ ^ ^ ^ -    -3
 -2  . . - . a a a ^ a a - - -   -2
 -1   . . . a a a b + + ^ ^ -    -1
  0  . . . m c u a a - ^ - ^     0
  1   . - . a a . a a - - ^      1
  2    - ^ ^ a a a ^ a - - ^     2
  3     - - - - - - - . . -      3
  4      ^ - - - - - ^ - -       4
  5       - ^ - - ^ - - -        5
    ---------0000000000111111111
    9876543210123456789012345678

(From the docs for the map command)

To move east or west you use an increment of two to the x index (i.e. west would be ( x - 2, y )); north / south is forbidden in this scheme since the faces are lined up W/NW/NE/E/SE/SW, although that's by convention and there's nothing saying you couldn't rule out east / west by adding to y instead (and in effect rotating the hex grid 90 degrees). To move any of the other four directions you add/subtract one to both coordinates (northeast would be ( x + 1, y - 1)). You can easily verify if a coordinate pair's valid as both x and y have to be both odd or both even.

If this is anywhere near what you were asking about you might take a gander at PEI, the Perl Empire Interface, which has code for dealing with maps of this type.

[reply]