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<H1>[MUD-Dev] Re: Hex-grid mapping</H1>
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<LI><em>To</em>: <A HREF="mailto:mud-dev#kanga,nu">mud-dev#kanga,nu</A></LI>
<LI><em>Subject</em>: [MUD-Dev] Re: Hex-grid mapping</LI>
<LI><em>From</em>: Jon Leonard <<A HREF="mailto:jleonard#divcom,slimy.com">jleonard#divcom,slimy.com</A>></LI>
<LI><em>Date</em>: Tue, 1 Dec 1998 00:13:54 -0800</LI>
<LI><em>Cc</em>: Jon Leonard <<A HREF="mailto:jleonard#divcom,slimy.com">jleonard#divcom,slimy.com</A>></LI>
<LI><em>Reply-To</em>: <A HREF="mailto:mud-dev#kanga,nu">mud-dev#kanga,nu</A></LI>
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<PRE>
On Tue, Dec 01, 1998 at 02:42:18AM -0500, Matthew R. Sheahan wrote:
> i'm in the design phase for a project where i want to use hex-grid
> mapping, and this has led me to realize that i don't know any decent
> methodology at all for tracking coordinates on a hex-grid. ideally
> i'd like something not very different from Cartesian coordinates, and
> which permits easy determination of what locations are adjacent to
> a given coordinate. this seems like the kind of thing which has
> probably been solved to death, so i thought i'd ask around instead of
> reinventing the wheel. does anyone have any suggestions, or resources
> to point me to?
Treat it just like cartesian coordinates, except that instead of using
sqrt(x*x + y*y) for distance, use sqrt(x*x - x*y + y*y).
That gives a coordinate grid that looks like this:
/ \ / \ / \ / \ / \ / \
| 0,5 | 1,5 | 2,5 | 3,5 | 4,5 | 5,5 |
/ \ / \ / \ / \ / \ / \ /
| 0,4 | 1,4 | 2,4 | 3,4 | 4,4 | 5,4 |
/ \ / \ / \ / \ / \ / \ /
| 0,3 | 1,3 | 2,3 | 3,3 | 4,3 | 5,3 |
/ \ / \ / \ / \ / \ / \ /
| 0,2 | 1,2 | 2,2 | 3,2 | 4,2 | 5,2 |
/ \ / \ / \ / \ / \ / \ /
| 0,1 | 1,1 | 2,1 | 3,1 | 4,1 | 5,1 |
/ \ / \ / \ / \ / \ / \ /
| 0,0 | 1,0 | 2,0 | 3,0 | 4,0 | 5,0 |
\ / \ / \ / \ / \ / \ /
Adjacent hexes have a distance of 1, and are located at deltas of:
(-1,+0) (-1,+1) (+0,-1) (+0,+1) (+1,-1) (+1,+0)
Using +x*y instead of -x*y in the distance formula yields a hex grid
skewed the other way.
I have some code that I can clean up if an example would be helpful.
Jon Leonard
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<li><strong><A NAME="00882" HREF="msg00882.html">[MUD-Dev] Re: Hex-grid mapping</A></strong>
<ul compact><li><em>From:</em> James Wilson <jwilson#rochester,rr.com></li></ul>
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<ul><li>Thread context:
<BLOCKQUOTE><UL>
<LI><STRONG>[MUD-Dev] Re: Hex-grid mapping (example from PSL empire)</STRONG>, <EM>(continued)</EM>
<ul compact>
<LI><strong><A NAME="00894" HREF="msg00894.html">[MUD-Dev] Re: Hex-grid mapping (example from PSL empire)</A></strong>,
Pericolo DiMorte <a href="mailto:choke#sirius,com">choke#sirius,com</a>, Wed 02 Dec 1998, 22:31 GMT
<UL>
<LI><strong><A NAME="00895" HREF="msg00895.html">[MUD-Dev] Re: Hex-grid mapping (example from PSL empire)</A></strong>,
James Wilson <a href="mailto:jwilson#rochester,rr.com">jwilson#rochester,rr.com</a>, Thu 03 Dec 1998, 00:06 GMT
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<LI><strong><A NAME="00886" HREF="msg00886.html">[MUD-Dev] Re: Hex-grid mapping</A></strong>,
quzah [sotfhome] <a href="mailto:quzah#softhome,net">quzah#softhome,net</a>, Wed 02 Dec 1998, 06:47 GMT
<LI><strong><A NAME="00878" HREF="msg00878.html">[MUD-Dev] Hex-grid mapping</A></strong>,
Matthew R. Sheahan <a href="mailto:chaos#crystal,palace.net">chaos#crystal,palace.net</a>, Tue 01 Dec 1998, 07:43 GMT
<UL>
<LI><strong><A NAME="00879" HREF="msg00879.html">[MUD-Dev] Re: Hex-grid mapping</A></strong>,
Jon Leonard <a href="mailto:jleonard#divcom,slimy.com">jleonard#divcom,slimy.com</a>, Tue 01 Dec 1998, 08:16 GMT
<UL>
<LI><strong><A NAME="00882" HREF="msg00882.html">[MUD-Dev] Re: Hex-grid mapping</A></strong>,
James Wilson <a href="mailto:jwilson#rochester,rr.com">jwilson#rochester,rr.com</a>, Wed 02 Dec 1998, 01:08 GMT
<UL>
<LI><strong><A NAME="00883" HREF="msg00883.html">[MUD-Dev] Re: Hex-grid mapping</A></strong>,
Jon Leonard <a href="mailto:jleonard#divcom,slimy.com">jleonard#divcom,slimy.com</a>, Wed 02 Dec 1998, 01:53 GMT
<UL>
<LI><strong><A NAME="00884" HREF="msg00884.html">[MUD-Dev] Re: Hex-grid mapping</A></strong>,
James Wilson <a href="mailto:jwilson#rochester,rr.com">jwilson#rochester,rr.com</a>, Wed 02 Dec 1998, 04:07 GMT
<UL>
<LI><strong><A NAME="00887" HREF="msg00887.html">[MUD-Dev] Re: Hex-grid mapping</A></strong>,
Par Winzell <a href="mailto:zell#alyx,com">zell#alyx,com</a>, Wed 02 Dec 1998, 06:48 GMT
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