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Old Yesterday, 01:28 AM   #11
pgb
 
Join Date: Feb 2008
Location: UK
Default Re: Hex(agon)ed

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Originally Posted by tbone View Post
Are you talking about counting square movement as 2 units, diagonals as 3, with ordinary squares? Because you wouldn't do that with staggered squares; movement works the same with staggered squares as with hexes. Staggered squares essentially are hexes. Shaped like squares. : )
You're basically right; certainly the usual "3:2" argument about diagonals of squares doesn't apply. But actually, the distances with staggered squares aren't exactly the same: the "diagonal" moves, between rows, are longer than those within rows by a factor of sqrt(5/4) = 1.12 approx. Really, we should use staggered rectangles, where the spacing between rows is smaller than that along rows by a factor of sqrt(3/4) = 0.866 approx. Then we REALLY have hexes that just look different. These factors are close enough to 1 to not matter for many purposes, but if setting this up from scratch, why not get it spot on?
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Old Yesterday, 09:19 AM   #12
Anaraxes
 
Join Date: Sep 2007
Default Re: Hex(agon)ed

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Originally Posted by tbone View Post
Are you talking about counting square movement as 2 units, diagonals as 3, with ordinary squares?
Yes. But I did manage to edit that sentence into a really confusing spot while fiddling with the post. Thanks for pointing that out. I'll fix up the mistake.
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Old Yesterday, 11:45 PM   #13
tbone
 
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Default Re: Hex(agon)ed

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Originally Posted by pgb View Post
Really, we should use staggered rectangles, where the spacing between rows is smaller than that along rows by a factor of sqrt(3/4) = 0.866 approx. Then we REALLY have hexes that just look different. These factors are close enough to 1 to not matter for many purposes, but if setting this up from scratch, why not get it spot on?
Yep, you're right that hexes and staggered squares (SS) aren't quite the same. Close enough that you can treat SS as hexes for movement purposes with little loss of precision, but there is a difference. (Specifically, for those wondering: If you measure two 1" SS of a column, the height is of course 2"; if you measure the width of two columns, that again is of course 2". With 1" hexes, though, the height of two hexes in a column is 1", but the width of two columns is only about 1.73". Or restated, a 1" hex is 1" high but only about 0.866" wide (average width), as pgb notes.)

As you say, slightly rectangular SS would best match hexes. As for "why not get it spot on", I can only think of one reason: you'd lose the ease of quickly mapping into 3-ft x 3-ft dimensions ("let's see, 15' x 18', that's 5 squares high, 6 columns across"). You'd have to convert locations into 3-ft x 2.6-ft rectangles.

I wouldn't be surprised, though, if someone out there is happily doing just that!
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Old Today, 01:55 AM   #14
Celjabba
 
Join Date: Sep 2006
Location: Luxembourg
Default Re: Hex(agon)ed

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Originally Posted by johndallman View Post
I have read that when Steve Jackson was doing the original design work for GURPS. he spent considerable time trying to make tactical combat work on a square grid, but was unable to find a way to do it that satisfied him.
There is an article (that predate Gurps by several years) by Steve Jackson in Space Gamer 30 that briefly discuss hex vs square for tactical maps and movement.
He clearly favor the hex grid, for many reasons, but agree that square grid are better for right-angled floor plans.
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