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Re: Math-a-magic puzzle
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Re: Math-a-magic puzzle


  • Subject: Re: Math-a-magic puzzle
  • From: Luther Fuller <email@hidden>
  • Date: Sun, 01 Aug 2010 09:24:21 -0500

On Jul 31, 2010, at 9:36 PM, Robert Poland wrote:

> I've got a challenge for the math-a-magicians out there.
>
> Using the script below on a picture 3264x2448 i get a result in the display Dialog for 499 pixels.
>
> THE CHALLENGE:
> Is there a simple fix to get a result of 500 pixels?

No! Or, to put it another way, "Does 3264 contain 5 as a factor?"

If you factor 3264 completely, you get ...

	3264 = 2^6 * 3^1 * 17

Scaling this to exactly one fifth its original size is impossible, since 5 is not a factor of 3264.
Your image software has to round 3264/500 = 6.528 ≈ 6.53 and 3264/6.53 = 499.84...
(And your image software does it differently than my example.)

If you want to scale EXACTLY, you have to ...
	Scale-up by an integer value.
	Scale-down by a (integer) factor of both dimensions.

Another example:
If your image measures 2749 x 5399 pixels,
you can never scale it down by any integer value, 1/n.
Why? Because both these numbers are primes!

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