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Old 03-21-2009, 11:19 AM   #1
darkmonk
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darkmonk began at the beginning.
 
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Why the Ipod Touch can show a full page of a book:[Math]

Hello all. I recently did some calculations I figured i might as well share. This might surprise you all, but I've determined the Ipod Touch can easily show an entire page, if you're willing to read it. This is how:

The screen of it is 480 x 320, for a total of 153600 pixels. Compared to my laptop's 1024000, that's not really a lot.
Characters are shown at a fixed size in each font. If I select size 7, my characters will each occupy a height of 7 pixels, even if the character does not occupy all that space. Naturally, it is caps and the letters that extend that occupy all of the height. Horizontally, things get more complicated. The font decides how close each character is to each other. i's, l's, t's and j's go closest together. M and W Occupy a maximum space. I'd say the ratio between character height and width is 5:7 on average, but it's easier to just assume each character will occupy the maximum space.

I chose font 7 because I believe it is the smallest size where the letters are still definitive. That makes each character take 49p squared, space included. Although it would only take 35 in all probability.

Now a page takes about 400 words, at 6 letters a word. This takes 7 characters a word, because of the space. Naturally
this would throw it off, but if you're crazy enough to read size 7 font, you should also be happy to get rid of extra spaces. So now the math:
400*7=2800 characters/page 2800*49= 137200 pixels needed. And what was the resolution of the Ipod Touch? 153600 pixels! This gives a 16400p to spare! In reality: 153600/35/7=627 words, giving you plenty to spare.

So there be my proof that I can fit an entire page onto the screen of the Ipod Touch...Although consider this: The density, 163 PPI, would make you need to have really, really good eyes... but still, I swear I'll do it if I can.
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