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Re: [Campaign] cubic moves

From: KH.Ranitzsch@t...
Date: Wed, 03 Jul 2002 18:11:40 +0200 (CEST)
Subject: Re: [Campaign] cubic moves

Imre A. Szabo schrieb:
> > A fairly simple solution is to reckon movement in
> > movement points in the following fashion: A move across an edge
costs two
> points, a diagonal one three points. This is a reasonable
> approximation to the relative costs of the same movement on a
grid-free map
> ( 2/3 = 1.5 compared to the accurate SQRT(2) = 1.41... ).
> 
> Or just use 1 point for moving across an edge, and 1.5
> points for moving diagonally.  

Most people find adding up 2's and 3's easier than 1.5's ;-)

> > Of course, for interstellar space, you can PSB any mode
> > of FTL travel calculation.
> 
> You can't beat cubes for space.  I built a method based
> on hexagonal close packed lattice structures, but it was much more
trouble
> then the sqrt( x^2 + y^2 + z^2 ).

You can expand the above method for a 3-d cubic grid:

2 MP = move across a cube's face ( like a 2-dim edge )
3 MP = move across a cube's edge ( like a 2-dim corner )
4 MP = move across a cube's corner ( a reasonable approximation of 2 *
Sqrt(3) = 3.73...)

BTW, if you want to go to 4-d movement, a hyperspace cube diagonal move
would be precisely 4 ( = 2 * SQRT(4) ) in the above scheme.

Greetings
Karl Heinz

-- 
+--------------------------------------+
Karl Heinz Ranitzsch
Müllerweide 22 c
22391 Hamburg
Germany

Tel: 040/5362795

E-mail privat: KH.Ranitzsch@t-online.de


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