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From: hp48sx@wuarchive.wustl.edu (HP48SX Archive Maintainer)
Newsgroups: comp.sys.mac.games
Subject: Hex distances
Message-ID: <1990Nov17.111429.6250@wuarchive.wustl.edu>
Date: 17 Nov 90 11:14:29 GMT
Organization: Washington University in Saint Louis, MO
Lines: 20

I have just been doing a little symbolic math to use in calculating
distances on a hex map.

I am not sure if I completely understood the question, but if you want
the distance from the center of one hex to the center of another, and
all you know is how many hexes forward and to the side a piece is moved
then it is a very simple problem.

Say you move forward a hexes, and then turns left (this is a 60 degree
turn) and moves further b hexes. The total distance from the center of
the start hedx to the center of the end hex is :
sqrt( (a+b/2)^2 + (b*sin(60 degrees))^2 )
and a acceptable approximiation for sin(60 degrees) is 181/209.



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Povl H. Pedersen             hp48sx@wuarchive.wustl.edu
HP48sx archive maintainer