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Old 11-14-2019, 10:35 PM   #1
Infornific
 
Join Date: Dec 2004
Default How big is a hex?

I couldn't find this in a previous post so I'll ask here. How big are hexes supposed to be. I get the sense from ITL that a hex is only a yard across, but that seems too small considering:

1. A wolf, a large bear and a dead body typically take up one hex. A horse (8 feet long) takes up two hexes.

2. Hand to hand (i.e., unarmed or knives) happens in one hex.

3. It seems it would be difficult for fighters with spears, swords, etc to fight only 3 feet away from each other. Whether with each other or side by side.

So hexes would seem to be more like 4-6 feet. Am I missing something?
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Old 11-14-2019, 10:41 PM   #2
larsdangly
 
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Default Re: How big is a hex?

4 feet (RAW)
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Old 11-17-2019, 07:27 PM   #3
Anaraxes
 
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Default Re: How big is a hex?

ITL p 55, if you want a reference. There's a chart with hex sizes for many different scales (combat. labyrinth maps, cities, duchies, etc).
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Old 11-17-2019, 08:44 PM   #4
hcobb
 
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Default Re: How big is a hex?

The problem with ITL 55 is that it treats the Megahex as being 3.33 as long as the underlying hex when it is actually only 2.5 times as long. This 33 percent error is compounded at every step up.
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Old 11-21-2019, 11:55 AM   #5
swampthing
 
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Default Re: How big is a hex?

Quote:
Originally Posted by hcobb View Post
The problem with ITL 55 is that it treats the Megahex as being 3.33 as long as the underlying hex when it is actually only 2.5 times as long.
How do you figure? It quotes 4 feet for a hex, and 3 yards (9 feet) for a megahex. 9/4 is 2.25, not 3.33.

I make the center-to-center distance between two adjacent megahexes to be about 10.6 feet (two 4-foot hexes over, plus one more up at an angle), which is about 2.65 times as much as a hex.
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Old 11-21-2019, 01:18 PM   #6
hcobb
 
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Default Re: How big is a hex?

I have a detailed table showing the error on page ITL 55 here:

https://www.hcobb.com/tft/Megahex_scale.html
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Old 12-04-2019, 02:11 AM   #7
David Bofinger
 
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Default Re: How big is a hex?

Quote:
Originally Posted by hcobb View Post
I have a detailed table showing the error on page ITL 55 here:

https://www.hcobb.com/tft/Megahex_scale.html
Yes, but your ratio 2.5 is also wrong. I don't know where you got it from but the correct ratio is the square root of 7. We can prove this either by coordinate geometry or just by noticing that the area scales up by a factor of 7 each time so the linear ratio must be the square root of that. The hex size sequence, with a bit of rounding, should be:
  • hex "combat": 4 feet
  • megahex "labyrinth": 10 feet or 11 feet or 3.5 yards (it's actually about 10.6 feet)
  • megamegahex "village": 10 yards
  • mega^3hex "town": 25 yards
  • mega^4hex, between "town" and "city": 65 yards
  • mega^5hex, between "city" and "county": 175 yards
  • mega^6hex, bit larger than "county": 1/4 mile
  • mega^7hex, close to "barony": 2/3 mile
  • mega^8hex, bit larger than "duchy": 2 miles
  • mega^9hex "province": 5 miles
Which nicely takes us to the scale of the Elyntia map, telling us Elyntia is mapped in megamegamegamegamegamegamegamegamegahexes, rather than megamegamegamegamegamegamegamegahexes as RAW would claim. :-)

It is, incidentally, weird that a barony is larger than a county.

Should we care about larger hexes then we have:
  • mega^10hex: 13 miles
  • mega^11hex: 35 miles
  • mega^12hex: 90 miles
  • mega^13hex: 235 miles
  • mega^14hex: 625 miles
Which should be enough even for Cidri cartographers.

Last edited by David Bofinger; 12-04-2019 at 02:26 AM.
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Old 12-06-2019, 09:53 AM   #8
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Default Re: How big is a hex?

Area increases by 7, but you're not on a 45 degree angle, so it's not sqrt(7) distance. (Note that the coordinate system rotates on each step.)
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