04 November 2013

Fun with line of site

Hey Kids, Warlord Bixley here.
There's something I see every time I look down at a Gaming table. Other then models and terrain, flock....dice strewn about because I'm a very sloppy player...mountain dew cans..I see many things when I look down actually but the most important thing I see is MATH. Part of being a proper warlord is seeing the math that decide what the right moves are so what do you say we have some fun and look at some ratios. No wait, stick around...please?

If your still reading What I want to work out here is how to absolutely know if a model standing on a cliff can see another model it's attacking down below, and vica verca. Now most Warmahordes tables I've seen are about as flat as the Chinese Gymnastics team (I'm only about a year and a half late for that reference, so sue me ) but there are rules in the game to have more dynamic cliffs  and scenery in your games and this may come up from time to time.

"well why don't i use model's eye view to see what the model can see"

Well disembodied voice, for one Warmahordes doesn't use Model's eye view to determine line of sight. because of an importing note about the system. THE SCULPTS HAVE NOTHING TO DO WITH HOW BIG A MODEL IS.  Actually, the only important part of a Model game-wise is its base. Looking at page 43 on the Hordes Mk.II rule book it gives the "real" heights of each models. this means that Pygmies are just as tall as Markus "Siege" Brisbane. (I assume the pygs are constantly jumping)

Small bases are 1.75 inches tall
Medium bases are 2.25 inches tall
Large Bases are 2.75 inches tall

I'm not covering Colossuls or Battle Engines because I don't have their stats right in front of me but once you find out their heights you can plug them in just as easily as everyone else's.

So, a few measurements are needed:
D1: the distance between the higher model is to the edge
H1: the height of the higher model
D2: the distance between the lower model's back edge and the cliff
H2: the height of the lower model
H  : the Height of the cliff
(Don't mind the little bug behind the curtain)

now that we have our measurements all we have to do is compare the two green triangles in our diagram. and the resulting number will tell us if the models can see each other

IF:  h1/D1 - (H-h2/D2) < 0
they cannot see each other. 

Otherwise shoot away. really you can stop reading here, use that little setup and your pocket calculator to rule lawyer your way to victory. But for those who don't trust my math (and if my drawing skills are any indication why should you?) well put it through a few scenarios, for simplicity we wont even be using numbers.

Our terms will be huge, norm, and tiny. norm measurements are normal everyday measurements, Huge measurements are so large  all of the non-huge measurements can't even effect them. the opposite applies to tiny, they're so small you wouldn't even notice them standing next to a norm or huge.

Say you had a normal sized model standing on a normal sized cliff looking down to an impossibly tall model a normal distance away. common sense would tell us that they should be able to see each other, but what does the equation say?

h1/D1 - (H-h2/D2)
norm/norm -(norm-huge/norm)
1 - (-huge)  

now, a huge number is larger then zero so we determine that the two models can see each other, confirming out common sense

our last  example are two normal sized model except one is sitting at the bottom of a pit and the other is miles away. can they see each other?

h1/D1 - (H-h2/D2)
norm/huge  -(Huge-norm/norm) 
tiny -  huge

with this, we can guess that the two models can't see each other  since a negative huge number is "smaller" then zero.

There are literally infinite of different examples we can come up with once we start using actual measurements but I think you get the point. Will this ever come up in a tournament?  Probably not to be honest. but I think its a cute little equation and gives us a little better perspective on our favorite game, and how numbers effect it.

No comments:

Post a Comment