11 réponses à ce sujet

[Endurium]

Distance between two points

Also a 3D version at the bottom of the page in case you want to get fancy and include height.

Your given map is 4000km x 4000km so you have your coordinates. Just enter the formula into a spreadsheet, feed in your coordinates, and get an instant answer. Could be used in real-time during a campaign.

Modifié par Endurium, 29 août 2013 - 04:52 .

[Cyonan]

You should be able to take a real world measurement of the map and then divide 4000 by how big the map is to get a smaller number to work with.

So if the map is 100cm^2, then you can do 4000 / 100 = 40. This means that 1cm on the map is equal to 40km in the game world.

This will let the GM figure out any distance he wants by figuring out how many cm between point A and B, then multiplying it by 40.

[Cyonan]

Cthulhu42 wrote...
That's incorrect; if 1cm on the map was equal to 40km, then 1cm^2 would be equal to 1600km^2, and thus 100cm^2 would be 160000km^2, not 4000.

What you actually found in your calculations was that 1cm^2 on the map was equal to 40km^2 in the world; you'd need to then take the square root of both sides to find what 1cm of the map is equal to in scale (which in this case would be around 6.3km).

Either way, this seems like the wrong way to go about things. You should figure out what you want the scale of your world to be first, not make up a surface area and work backwards to find it.

You don't need to get the square root because you aren't really squaring anything, or rather you shouldn't be.

When it comes to the surface area of a shape, saying a square is 40km^2 simply means that it is a box which is 40km tall by 40km wide.

Since the 1cm^2 box is 1cm tall by 1cm wide we can then say that 1cm = 40km.

[Cyonan]

Ah right, my mistake.

Sleepless Cyonan is bad at math it seems.

So yeah, it would be 1cm = 6.4km.

[Volus Warlord]

simfamSP wrote...

Okay, I suck at math. But I'm stuck here doing the good ol' hobby any nerd does at least once in his lifetime and that's creating a fantasy map. It's for a DnD group and their GM asked me (since I'm good at coming up with names/drawing maps etc...)

Now, he also wants a close estimate on the distance of the map so he knows how long it would take to go from A to B. Now, I've never done that before, so I'm stuck, really stuck.

I've come up with any random number, let's just say 4000km2 is the surface area of this "land." How would I determine the distance from a to b? Unless I'm looking at it the completley wrong way, since what I originally thought was to get its diameter, which then made no sense since the diameter gave me numbers that would make this half the size of Africa.

Arggh! I hate math >< So I'm hoping if there are any geniuses (or just people who at most, competent with the subject, because god knows I barley pass third grade xD) who might help me out here.

It's a matter of pride now, this thing is mocking me.

What? 

It sounds like you need a ruler.

Measure out the dimensions of the map. Hopefully it's an even rectangle, because if it is not, life will be much harder for you. 

Area is length (L) times  Width (W), and you will also have a conversion factor to get from one unit type to the other. We'll call it C.

Then 

A = L*W*C^2

You know A and you can measure L and W. Plug and chug to get C.

Then any distance you measure with the ruler  times C will be whatever units A was. Aka, the IRL distance.

Clear enough?

[Dio Demon]

 Generally set a scale let's say 1cm equals 1km on the map. 
So we've got 1cm = 100 000cm to make it slightly simpler or 0.00001km = 1km however you choose.
Now according to this website we walk 3.6 km/h

Assuming that this area is a giant square.

So to walk 63 km it would be 63 divided by 3.6 km which equals 17.5 hours

So let's convert that into days 17 hours and 30 minutes times divided (how many hours you expect the group to walk in a day) for the sake of this example let's say 8 hours.

17 hours and 30 minutes divided by 8 equals a little over two days.

Becareful of measuring things is km squared, they exaggerate their size.

Remember this formula.

Distance between point A and B divided by average walking speed = Hours.

Hours divided by hours walked in a day = Days till destination.

I should use this myself when I work on my book.

Modifié par Crazy Eyed One, 30 août 2013 - 12:32 .

[Hainkpe]

No cure for cancer yet?

Noobs.

Get back to work. We're watching.