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 09272010, 09:43 AM Thread Author #1
Reoslution comparison between iPad and Tab
OK, first of all before I get any flaming, I realize I've made some assumptions in my calculations but despite that it would seem that the Tab has a much better resolution than the iPad. I figure I'd throw it out here for comparison and see what you guys think.
OK, so people frequently use the term resolution to imply the number of pixels; ie 1024*600 or 1024*768, but resolution is really pixel density, so the amount of pixels per a given area. This has a functional implication, because the more pixels per square inch, then the smaller the pixels and tighter the are crowded together and thus the "smoother" they appear to the human eye.
TAB
So first, here is the Tab:
Dimensions: 7.48*4.74
Pixels: 1024*600
The ratio of width (a) to height (b) is approx 1024/600 (a/b) which is 1.7066666, therefore, for all variations of this screen ratio, a/b=1.706666
next we know the diagonal (c) of of this screen is 7 inches.
the Pythagorean Theorem states that for a right triangle, the sum of the squares of the width and height are equal to the square of the hypotenuse. So a^2+b^2=c^2. Or in this case a^2 + b^2 = 49
if we already said that a/b=1.706666, then a=1.706666*b, so a^2=2.912* b^2
so plugging this into the Pythagorean Theorem, 2.912 * b^2 + b^2 = 49, so 3.912 * b^2 = 49, so b^2 = 49/3.912, so b^2 = 12.523286, so b= 3.538825, or the height of the screen is 3.538825 inches
then we can plug this into our a/b=1.706666 equation to solve for the width. a/3.538825=1.706666, so a equals 6.039592, or the width of the screen is 6.039592 inches
 so the total area of the screen (width times height) is 21.37 square inches
so the resolution (pixel density) is total pixels/area, or (1024*600)/21.37, or 614400/21.37, or 28750 pixels per square inch
iPAD
So next, here is the iPad:
Dimensions: 9.56*7.47
Pixels: 1024*768
The ratio of width (a) to height (b) is approx 1024/768 (a/b) which is 1.333333, therefore, for all variations of this screen ratio, a/b=1.333333
next we know the diagonal (c) of of this screen is 9.7 inches.
the Pythagorean Theorem states that for a right triangle, the sum of the squares of the width and height are equal to the square of the hypotenuse. So a^2+b^2=c^2. Or in this case a^2 + b^2 = 94.09
if we already said that a/b=1.333333, then a=1.333333*b, so a^2=1.7777* b^2
so plugging this into the Pythagorean Theorem, 1.7777 * b^2 + b^2 = 94.09, so 2.7777 * b^2 = 94.09, so b^2 = 94.09/2.7777, so b^2 = 33.873348, so b= 5.820081, or the height of the screen is 5.820081 inches
then we can plug this into our a/b=1.333333 equation to solve for the width. a/5.820081=1.333333, so a equals 7.760106, or the width of the screen is 7.760106 inches
 so the total area of the screen (width times height) is 45.16 square inches
so the resolution (pixel density) is total pixels/area, or (1024*768)/45.16, or 786432/45.16, or 17414 pixels per square inch
Here are my conclusions:
The iPad has more pixels than the Tab, 786432 vs 614400, a difference of about 28% more pixels
The iPad has a larger screen area than the Tab, 45.16 inches vs 21.37 inches, a difference of about 111% larger screen
So yes the iPad has a bigger screen, and yes the iPad has more pixels, but the more important factor of resolution goes to the Tab. It has a resolution of 28750 vs the resolution of iPad which is 17414. So the Tab has a 65% increased pixel density, and essentially a 65% sharper image quality.
Lastly, I just wanted to point out that the standard widescreen format most of us are familiar with at home is 16:9, which has a ratio of width to height of 1.777777. Which is much closer to the ratio on the Tab.
Just some info I thought you guys would be interested in. Plus I’m bored at work this morning! 
 09272010, 10:18 AM #2
great research to bad the tab wont outsell the iPad
 09292010, 10:01 AM #3
Nice calculations. Interesting to see how the market welcomes the Samsung Tab.
 09292010, 10:41 PM Thread Author #4
My feeling is that I'll probably get the iPad, although it's a little bigger than what I want. The main issue is that I work in the medical field and there is just more software out there for the iPad.
