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Subject: Hogan's Tips #2 - The square root of X squared plus Y squaredlast
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GT uses standard geometry to calculate distances (as you would expect. More info -> http://en.wikipedia.org/wiki/Pythagorean_theorem)  Here are two tips related to this simple math formula:

1) When you move on an angle it take 1.4 moves.  (the square root of 1^2+1^2).  This is good.  If you could not go on an angle it would take 2 moves.  But it is more than one move.  This means that 1 angle move "takes up" 2 non-angle moves.  What is the tip?  Well, two angle moves take 2.8 moves -- so if you move once at an angle it is "free" to move the second time at an angle.

Because of the math, you should always move on angles in multiples of 2 to get the maximum movement from your units.

2) 176 is the square root of 250 squared divided by two.  Why does this matter?  250 is the range of a jet.  Thus a unit located at 0,0 can hit 176,176 with a jet (that sector is 250 away.)  If a sector is less than 176 in the X and the Y of your air base you can be sure your jets will reach it.  (Note that if x or y is more than 176 it might be that a jet can hit it if the other co-ordinate is low enough)

To find out if a given location is within range do the following:
Find the distance for both the x and the y. 
Find the square of both of these numbers.
Add those two numbers together.
Take the square root.
If this number is less than 250 you can hit that location with your jets.
The jet part is pretty useless to know, however I would love to see it implemented that when you choose a sector to air-attack, it shows the exact distance from each air base available to attack. It would make things a bit easier.
First of all i think your logic is flawed as far as expanding at an angle goes... a jeep for example. you get 12 sectors of movement if you go strait and 8 sectors if you move at an angle.... you will get further faster at an angle but you wont control as many sectors.
correction 9 sectors if you move at a strait angle*
I think he meant that if you do this:

Jeep 1: Go straight right 12 sectors. You moved in terms of 12 cells of a distance. (Gained 12 sectors)
Jeep 2: Go at an angle of 2 sectors and move right 9 sectors. You moved in terms of 13 cells of a distance. (Gained 11 sectors)
Jeep 3: Go at an angle of 4 sectors then move right 6 sectors. You moved in terms of 14 cells of a distance. (Gained 10 sectors)
Jeep 4: Go at an angle of 6 sectors then move right 3 sectors. You moved in terms of 15 cells of a distance. (Gained 9 sectors)

Ultimately, moving at an angle in intervals of two is best for getting a unit from Point A to Point B, though you would claim less sectors. "Angled Movement" is excellent for attacking someone while "Straight Movement" is better for claiming sectors. There are some other subtle benefits to Angled Movement but I won't reveal those secrets. ;)
Manaco wrote on :
There are some other subtle benefits to Angled Movement but I won't reveal those secrets. ;)
got it. thanks, you should elaborate on what you figured out,  send me a note!
Manaco wrote on :
First of all i think your logic is flawed as far as expanding at an angle goes... a jeep for example. you get 12 sectors of movement if you go strait and 8 sectors if you move at an angle.... you will get further faster at an angle but you wont control as many sectors.
Ah, I was not clear.  Manaco is getting to heart of it.  What I should have said is, if you are low on cash and trying to capture as many squares as possible for each $$ spent, you should never move on an angle.

Of course moving on an angle will get you to a given location quicker than going on non angles, but you take over less squares.  If taking over as many squares as possible is important (eg the early game) then moving on an angle is bad.  Or at least, not as efficient.

Is that clearer?

Also, you don't go further faster -- you do in fact always move the same amount OR LESS when you move on an angle.  When, as an example, you go one angle move and the rest in a line, you have actually move .6 less than if you had just gone in a line.
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