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Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3140
|
Posted - 2013.09.30 04:31:00 -
[1] - Quote
I'm going to start off with a preface admitting that I am concerned with the fact that a previous test could have been grossly wrong and I am apologizing to the community directly for that error if it exists. I'm pretty sure CCP is going to look at this thread and give a chuckle since, obviously, they know all of this off hand.
In this blog post I go into some details on how to calculate the scan area of an active scanner using the CreoDron Flux Active Scanner as the primary testing base. However, I did not take into account the fact that I assumed that the Scan Distance was the sides of the scan angle. So if that's the case, then this is the correct scan area.
Though, recently I was going to add a visual representation of the use of this particular scanner in the Line Harvest map to show just how over-powering it can be in that map and made a bit of a revelation in the inaccuracies of my own testing procedures. I didn't consider what the scan area would be if the Scan Distance was the distance from the center of the of the Active Scanner, the distance of the 'median' of the 90 degree angle. Given my lack of knowledge of Geometry/Trigonometry, I can't accurately give the area knowing only one angle and length of the median.
A better representation of what I am talking about is knowing only the length of the median of vertex C: http://upload.wikimedia.org/wikipedia/commons/thumb/6/6f/Rtriangle.svg/346px-Rtriangle.svg.png
Another thing I did not take into account is whether or not the Active Scanner operates as a cone. If that's the case the area would be very different than if it were a triangle.
So, to any of you that can potentially help out with this, you'd have my thanks and again I apologize for the lack of knowledge presented in my original testing procedures.
EDIT: One thing I will note, however, is that the Active Scanner has no measure of height. If you're 50m above the target, you can still pick them up just by aiming in their direction on a flat plane, essentially meaning that the scan angle isn't taken into account when scanning. |
Rogatien Merc
Red Star. EoN.
1277
|
Posted - 2013.09.30 04:36:00 -
[2] - Quote
z coordinates of enemy mercs/equipment do not appear to be taken into account based on my experience (stand next to a tall tower with an enemy on it and they show up when scanned)
... through spinning in a circle, the scan arc is 360 degrees.
so scan area = pi * r^2 where r is the listed scan distance.
..... is that what you're trying to figure out? |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3140
|
Posted - 2013.09.30 04:40:00 -
[3] - Quote
Rogatien Merc wrote:z coordinates of enemy mercs/equipment do not appear to be taken into account based on my experience (stand next to a tall tower with an enemy on it and they show up when scanned)
... through spinning in a circle, the scan arc is 360 degrees.
so scan area = pi * r^2 where r is the listed scan distance.
..... is that what you're trying to figure out?
Not necessarily. If you input a Right Triangle with Base = 200 and Height = 200 you get a scan area of effectively 20,000 meters.
That's -IF- the SIDES of that triangle are 200 than the Median of angle A is 200 (I found this out just now after a rather derpish moment and am editing my original post) but that's ONLY if the Active Scanner does not operate as a cone. If it does, than all of this is entirely wrong.
Hope that helps explain my conundrum. |
Rogatien Merc
Red Star. EoN.
1277
|
Posted - 2013.09.30 04:45:00 -
[4] - Quote
What? Scanner is a pie-slice at a given radius of a given arc in degrees centered on the user. By spinning in a circle, those slices make a full circle. The area of a circle is pi r squared. [[[EDIT: Ignore the following, it is incorrect]]] You just gave the area of a square with 200m sides... |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3140
|
Posted - 2013.09.30 04:53:00 -
[5] - Quote
Rogatien Merc wrote:What? Scanner is a pie-slice at a given radius of a given arc in degrees centered on the user. By spinning in a circle, those slices make a full circle. The area of a circle is pi r squared. [[[EDIT: Ignore the following, it is incorrect]]] You just gave the area of a square with 200m sides...
Area of a square with sides of 200m would be 40,000m.
We're trying to find the area of a cone rather than the volume since there is no z axis. So, essentially it's important to note whether the scan distance is from the center of the scanner or the sides of the scanner as it affects the total area - the curvature falling off from 200, so to speak.
Edit: How do we know that it is a 2D cone instead of a triangle, though? |
Kira Lannister
Ancient Exiles
1353
|
Posted - 2013.09.30 04:54:00 -
[6] - Quote
Too many big words in this thread.
STHAP |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3140
|
Posted - 2013.09.30 04:56:00 -
[7] - Quote
Kira Lannister wrote:Too many big words in this thread.
STHAP
Bill Nill the science guy would be disappointed with you =< |
The Robot Devil
Molon Labe. RISE of LEGION
1000
|
Posted - 2013.09.30 04:59:00 -
[8] - Quote
http://exploration.grc.nasa.gov/education/rocket/Images/volumenose.gif
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Rogatien Merc
Red Star. EoN.
1278
|
Posted - 2013.09.30 05:00:00 -
[9] - Quote
note the edit...
anyway, it's not a 2d cone either. a 2d cone would be a triangle. a cone is just a triangle spinning like a top in 3d. but that is wrong too. the reason it is a 'pie slice' is because it is based on a scan radius... so the maximum extent from you will follow a circle (sweep of a set-length line segment about a point in 2d). otherwise you are saying that it is scanning further at the 'legs' of the triangular scan area than in the center where you are actually pointing.
but regardless... do this in your head. or draw it on paper. spin an isosoles (sp...) triangle 360 degrees around one point. when you spin it, the area overlapped makes a perfect circle. |
Rogatien Merc
Red Star. EoN.
1278
|
Posted - 2013.09.30 05:03:00 -
[10] - Quote
The Robot Devil wrote:http://exploration.grc.nasa.gov/education/rocket/Images/volumenose.gif
z coordinates not taken into account. thus scan area is on a plane. it's either pi * r^2 ... or if you don't feel like spinning in a circle it is:
pi * r^2 * (scanangle / 360) |
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Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3142
|
Posted - 2013.09.30 05:09:00 -
[11] - Quote
Rogatien Merc wrote:note the edit...
anyway, it's not a 2d cone either. a 2d cone would be a triangle. a cone is just a triangle spinning like a top in 3d. but that is wrong too. the reason it is a 'pie slice' is because it is based on a scan radius... so the maximum extent from you will follow a circle (sweep of a set-length line segment about a point in 2d). otherwise you are saying that it is scanning further at the 'legs' of the triangular scan area than in the center where you are actually pointing.
but regardless... do this in your head. or draw it on paper. spin an isosoles (sp...) triangle 360 degrees around one point. when you spin it, the area overlapped makes a perfect circle.
Basically what I'm saying is this:
http://i.imgur.com/p5k44rd.png
If it were a triangle with height and base being 200m than we'd get a much smaller area than if it were a cone. Hence my apology. Being as it is almost guaranteed to be a cone (otherwise if we pointed directly at something 200m in front of us we would not be able to scan it) than I was right in that I should be apologizing because the effective scan area would not be 20,000 meters, but much more.
So, with that in mind, I need to re-do my testing.
Edit: And, with your formula, gives us a scan area of 125,663.71 meters |
Rogatien Merc
Red Star. EoN.
1278
|
Posted - 2013.09.30 05:15:00 -
[12] - Quote
No worries. But absolutely nothing to test dude. I gave you the formula and it is quite simple.
Was confused because a 'cone' is a 3d object, not the 'pie slice' (?) that i think you meant. In the pic you linked, the area of the scanner is the area behind the curved segment. Which is a segment of a circle . There is absolutely nothing to indicate in any way shape or form that triangles have anything to do with it. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3142
|
Posted - 2013.09.30 05:16:00 -
[13] - Quote
Rogatien Merc wrote:No worries. But absolutely nothing to test dude. I gave you the formula and it is quite simple. Was confused because a 'cone' is a 3d object, not the 'pie slice' (?) that i think you meant. In the pic you linked, the area of the scanner is the area behind the curved segment. Which is a segment of a circle . There is absolutely nothing to indicate in any way shape or form that triangles have anything to do with it.
But that can't be correct - that's almost 126 kilometers of effective scan area..... |
Rogatien Merc
Red Star. EoN.
1278
|
Posted - 2013.09.30 05:21:00 -
[14] - Quote
now if you wanted to be really cool you could figure out the 4-dimensional 'green space' of area secured by a scanner in seconds per meters squared per percentage of relevant dB bandwidth covered assuming immediate re-scan upon cooldown completion over a 360 degree arc.
yep, i just made that up. but doable and would point to 'most useful scanner'.
good Lord I need to go to bed. |
Xocoyol Zaraoul
Superior Genetics
1145
|
Posted - 2013.09.30 05:22:00 -
[15] - Quote
Aeon Amadi wrote:
But that can't be correct - that's almost 126 kilometers of effective scan area.....
3D volumes are rather large.
Even a mere 10 meter by 10 meter cube is a cubic kilometer, and we are talking about a donut (spinning the cone) which extends out 200 meters in our case. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3142
|
Posted - 2013.09.30 05:23:00 -
[16] - Quote
Rogatien Merc wrote:now if you wanted to be really cool you could figure out the 4-dimensional 'green space' of area secured by a scanner in seconds per meters squared per percentage of relevant dB bandwidth covered assuming immediate re-scan upon cooldown completion over a 360 degree arc. yep, i just made that up. but doable and would point to 'most useful scanner'. good Lord I need to go to bed.
Way ahead of you:
http://i.imgur.com/CuszOmJ.png |
Rogatien Merc
Red Star. EoN.
1278
|
Posted - 2013.09.30 05:23:00 -
[17] - Quote
Aeon Amadi wrote:Rogatien Merc wrote:No worries. But absolutely nothing to test dude. I gave you the formula and it is quite simple. Was confused because a 'cone' is a 3d object, not the 'pie slice' (?) that i think you meant. In the pic you linked, the area of the scanner is the area behind the curved segment. Which is a segment of a circle . There is absolutely nothing to indicate in any way shape or form that triangles have anything to do with it. But that can't be correct - that's almost 126 kilometers of effective scan area..... meters squared, not meters.
the area of a 100 x 100m banquet hall is 10,000 m^2 ... which has nothing to do with 10 kilometers. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3142
|
Posted - 2013.09.30 05:24:00 -
[18] - Quote
Xocoyol Zaraoul wrote:Aeon Amadi wrote:
But that can't be correct - that's almost 126 kilometers of effective scan area.....
3D volumes are rather large. Even a mere 10 meter by 10 meter cube is a cubic kilometer, and we are talking about a donut (spinning the cone) which extends out 200 meters in our case.
We can't assume volume because the scanner has no z axis, though. So it has to be surface area. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3142
|
Posted - 2013.09.30 05:25:00 -
[19] - Quote
Rogatien Merc wrote:Aeon Amadi wrote:Rogatien Merc wrote:No worries. But absolutely nothing to test dude. I gave you the formula and it is quite simple. Was confused because a 'cone' is a 3d object, not the 'pie slice' (?) that i think you meant. In the pic you linked, the area of the scanner is the area behind the curved segment. Which is a segment of a circle . There is absolutely nothing to indicate in any way shape or form that triangles have anything to do with it. But that can't be correct - that's almost 126 kilometers of effective scan area..... meters squared, not meters. the area of a 100 x 100m banquet hall is 10,000 m^2 ... which has nothing to do with 10 kilometers.
I'm talking about the -total- scan area of everything this thing can cover. |
Rogatien Merc
Red Star. EoN.
1278
|
Posted - 2013.09.30 05:26:00 -
[20] - Quote
Aeon Amadi wrote:Rogatien Merc wrote:Aeon Amadi wrote:Rogatien Merc wrote:No worries. But absolutely nothing to test dude. I gave you the formula and it is quite simple. Was confused because a 'cone' is a 3d object, not the 'pie slice' (?) that i think you meant. In the pic you linked, the area of the scanner is the area behind the curved segment. Which is a segment of a circle . There is absolutely nothing to indicate in any way shape or form that triangles have anything to do with it. But that can't be correct - that's almost 126 kilometers of effective scan area..... meters squared, not meters. the area of a 100 x 100m banquet hall is 10,000 m^2 ... which has nothing to do with 10 kilometers. I'm talking about the -total- scan area of everything this thing can cover. and that's what you're getting. 126,000 m^2. which is appropriate.
[edit: for clarification, a meter is one dimensional and denotes only length or distance. square meters denote area.] |
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Xocoyol Zaraoul
Superior Genetics
1145
|
Posted - 2013.09.30 05:26:00 -
[21] - Quote
Aeon Amadi wrote:]We can't assume volume because the scanner has no z axis, though. So it has to be surface area.
Are we making this assumption for easier mathematical analysis? Because it must have some Z axis if it can scan targets of a higher elevation, which would make the donut more of a pillar that extends to the flight ceiling. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3143
|
Posted - 2013.09.30 05:28:00 -
[22] - Quote
Rogatien Merc wrote:Aeon Amadi wrote:Rogatien Merc wrote:Aeon Amadi wrote:Rogatien Merc wrote:No worries. But absolutely nothing to test dude. I gave you the formula and it is quite simple. Was confused because a 'cone' is a 3d object, not the 'pie slice' (?) that i think you meant. In the pic you linked, the area of the scanner is the area behind the curved segment. Which is a segment of a circle . There is absolutely nothing to indicate in any way shape or form that triangles have anything to do with it. But that can't be correct - that's almost 126 kilometers of effective scan area..... meters squared, not meters. the area of a 100 x 100m banquet hall is 10,000 m^2 ... which has nothing to do with 10 kilometers. I'm talking about the -total- scan area of everything this thing can cover. and that's what you're getting. 126,000 m^2. which is appropriate.
But that can't be right - that would be ENORMOUS compared to just 200 meters of scan distance. That'd be almost 16,000,000 meters. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3143
|
Posted - 2013.09.30 05:29:00 -
[23] - Quote
Xocoyol Zaraoul wrote:Aeon Amadi wrote:]We can't assume volume because the scanner has no z axis, though. So it has to be surface area. Are we making this assumption for easier mathematical analysis? Because it must have some Z axis if it can scan targets of a higher elevation, which would make the donut more of a pillar that extends to the flight ceiling.
No, it legitimately does not have a z axis - you can point straight up, scan and still get results on the ground level. |
The Robot Devil
Molon Labe. RISE of LEGION
1001
|
Posted - 2013.09.30 05:30:00 -
[24] - Quote
Same results I have had. |
Xocoyol Zaraoul
Superior Genetics
1145
|
Posted - 2013.09.30 05:32:00 -
[25] - Quote
Ah, well then assuming a circle, pi*(200m)^2=125,664m^2 is completely correct for surface area. |
Rogatien Merc
Red Star. EoN.
1279
|
Posted - 2013.09.30 05:35:00 -
[26] - Quote
Aeon Amadi wrote:But that can't be right - that would be ENORMOUS compared to just 200 meters of scan distance. That'd be almost 16,000,000 meters. no dude, you're doing the math twice... incorrect. 200m scan radius = 3.14* 200m*200m = ~125,000 m^2. That's it. that is the final answer. you don't then multiply that again by anything.
Xocoyol Zaraoul wrote:Aeon Amadi wrote:]We can't assume volume because the scanner has no z axis, though. So it has to be surface area. Are we making this assumption for easier mathematical analysis? Because it must have some Z axis if it can scan targets of a higher elevation, which would make the donut more of a pillar that extends to the flight ceiling. For the sake of the programming, the z coordinate of the object is not used to calculate or determine if it shows up on scanner. so it's on the plane of the map. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3143
|
Posted - 2013.09.30 05:35:00 -
[27] - Quote
Xocoyol Zaraoul wrote:Ah, well then assuming a circle, pi*(200m)^2=125,664m^2 is completely correct for surface area.
And no-one thinks this is bat **** insane considering it's precision being 28db??? |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3143
|
Posted - 2013.09.30 05:36:00 -
[28] - Quote
Rogatien Merc wrote:Aeon Amadi wrote:But that can't be right - that would be ENORMOUS compared to just 200 meters of scan distance. That'd be almost 16,000,000 meters. no dude, you're doing the math twice... incorrect. 200m scan radius = 3.14* 200m*200m = ~125,000 m^2. That's it. that is the final answer. you don't then multiply that again by anything.
Sorry, confused myself on the Meters Squared bit. |
Rogatien Merc
Red Star. EoN.
1279
|
Posted - 2013.09.30 05:38:00 -
[29] - Quote
Aeon Amadi wrote:Xocoyol Zaraoul wrote:Ah, well then assuming a circle, pi*(200m)^2=125,664m^2 is completely correct for surface area. And no-one thinks this is bat **** insane considering it's precision being 28db??? nope. cuz of the cooldown. note the 4-dimensional area by relevant bandwidth percentages teaser I mentioned before.
and you also have to consider how much of any given area is actually relevant to key terrain tactically. so a lot of area scanned is just a waste.
use the a-45 quantum. |
Aeon Amadi
A.N.O.N.Y.M.O.U.S.
3143
|
Posted - 2013.09.30 05:42:00 -
[30] - Quote
Rogatien Merc wrote:Aeon Amadi wrote:Xocoyol Zaraoul wrote:Ah, well then assuming a circle, pi*(200m)^2=125,664m^2 is completely correct for surface area. And no-one thinks this is bat **** insane considering it's precision being 28db??? nope. cuz of the cooldown. note the 4-dimensional area by relevant bandwidth percentages teaser I mentioned before. and you also have to consider how much of any given area is actually relevant to key terrain tactically. so a lot of area scanned is just a waste. use the a-45 quantum.
Right but under those same circumstances a Duvolle Quantum Active Scanner has a target visibility of 25 seconds and a cooldown of 15 seconds with an effective scan area (using that formula) of 31,416 meters squared. Meaning that anything within it's effective scan area is permanently on the map, no matter what, provided the person scanning is continuously scanning (which considering it's duration is a mere two seconds that's not much to ask for).
Suffice to say, for eight seconds you could still see a Scout trying to get -ANYWHERE- on the Line Harvest map just by standing on the table top (square platform in the center). Cool-down sucks but you can easily determine where someone is going during an eight second window. |
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