How many hexes can the PC’s see when they climb a hill, tree, or mountain, or cast fly and rocket up as far as they...
How many hexes can the PC’s see when they climb a hill, tree, or mountain, or cast fly and rocket up as far as they can go?
Wonder no longer.
http://www.ringbell.co.uk/info/hdist.htm
Wonder no longer.
http://www.ringbell.co.uk/info/hdist.htm
A spent a lot of time in high school working out the math on these sorts of things. (Because worldbuilding.)
ReplyDeleteThank Hextor for the internet.
ReplyDeleteNice. I was always bothered by not knowing how soon I should announce "you see mountains on the horizon" because I didn't know how far away they became visible.
ReplyDeletePoses a challenge for hex crawls since according to this, the Rockies should be visible from 20-25 hexes away.
The distance from the horizon is irrelevant per se, because you're looking at an object. So in theory you should add the distance from the horizon of the object too. But! Vegetation and haze will greatly limit the range before that anyway.
ReplyDeleteRalph Mazza I know when I was out in western Kansas, on a clear day you could climb up 40-50 feet and see the Rockies. That was...a couple hundred miles, maybe a little more.
ReplyDeleteWell, back of the envelope says 50 feet triples your range. So if the lesser peaks creep above the horizon from 120 miles away at ground level, your experience would be pretty consistent with that.
ReplyDeleteThey'd be well above the horizon a couple hundred miles away from 50 feet up.
When I have driven toward the Rockies at or south of the latitude of Denver, if the day is clear, they become visible about 40 miles out. The situation (and geography) is more complicated in e.g. Montana.
ReplyDeletehttp://www.dragonslayers-society.org/pmwiki/pmwiki.php?n=Main.HowFarCanISee
ReplyDeleteThe is a link near the bottom of the page to the original article I based all the calculations on. Other links to varying lighting conditions including underwater that affect these ranges.
Wait wait wait...this is for a sphere. I need one for a flat-world.
ReplyDeleteA flat world with nothing on it, the only impediment to how far you can see is your eyesight.
ReplyDeleteHaze. People, there's moisture in the air. Even from the Alps, 3km above the rest of the land, you can't see 200km away unless it's really, really, freakingly clear.
ReplyDelete