256GB Geometrically Encoded Paper Storage Device

jrieth50 noted that a method of using geometric shapes combined with color to store up to 256GB of data on a sheet of paper or plastic. The article says "Files such as text, images, sounds and video clips are encoded in 'rainbow format' as colored circles, triangles, squares and so on, and printed as dense graphics on paper at a density of 2.7GB per square inch. The paper can then be read through a specially developed scanner and the contents decoded into their original digital format and viewed or played."

Comments

This looks like a lie

[OeLeWaPpErKe]

What does this bring that normal scanners can't ?

Let's see A4 - 256Gig. Let's say n different colors.

He'd need to store 256*1024*1024*1024*8 = 2199023255552 bits
on A4 = 210 mm x 297 mm = 62370 mm^2 = 2456 inch

That makes 895 367 775 bits per inch. To encode that you'd need 895 367 775 / log2(n) dots. Increasing the number of colors can buy you some leeway, but not that much.

The surface area of such a dot would be 1/30 000 000 th of a millimeter.

Where will you find paper that has surface flaws significantly smaller than that ? No matter what the encoding, you're still going to need it. So this is a scam, plain and simple.

Re:This looks like a lie

[kubalaa]

Your scheme doesn't work because triangles are not atomic; they are made out of lines, which are described in terms of endpoints, which have a finite resolution. For example, an inkjet printer would make a triangle by printing dots at some fixed resolution. A drafting machine or laser printer might be able to draw the triangle without resorting to dots, but the elements of the triangle can still only be positioned with finite accuracy.

Let's say that we're drawing very tiny triangles as close to our resolution limit as possible (which we must do if we want to fit a lot of them). Such a triangle might be, say, 3 x 3 resolution units, so a hollow, up-triangle might look like this:

010
101
111

But look: there are 2^9 (or 512) possible shapes that can be made in this grid -- so by using only 64 different triangles, we are actually underutilising our medium. It doesn't matter what technology you use, any shape other than a "dot" is itself made out of smaller units like "dots", so restricting our vocabulary to certain shapes (rather than arbitrary sequences of dots) will waste space.

Do The Numbers

[SQL Error]

2.7GB per square inch, eh?

Alright, that's 21.6 gigabits per square inch.

For the sake of argument, let's say that the printer and scanner can reliably print and scan colour at 24-bit fidelity (which is nonsense, but makes the numbers nice and tidy): 900 million pixels per square inch.

That's 30,000 dpi.

That means you'd have to print and scan pixels less than a micron across. In full colour.

I don't think so.

Ultimate compression?

[Flain]

This story is a hoax.

Lets just imagine for one second that its true.

Instead of printing this data onto paper, why not just store it loslessly in a bitmap file? After all, printers only have a certain DPI and a certain amount of colours. If you could take this bitmap file and somehow extract 256GB of data from it, that sure would be some cool magic.

Re:RTFA

[fatphil]

The entropy rate of arbitrary pixel values is higher than the entropy rate of related pixel values (such as shapes).

Therefore the obvious way gives a better information density.
Therefore comparing against the obvious way is *not* necessarily the behaviour of a jackass, but quite possibly the behaviour of someone who has a grasp of Information Theory.

Time for everyone to borrow Cover and Thomas from their local library, methinks.

FatPhil

Re:maybe not scam?

[Yartrebo]

Can you really print 4,096 dots per linear inch on paper and still be able to read each individual dot? My guess is that beyond 300 dpi or so bleeding becomes a major issue and somewhere beyond that the grain size of paper becomes an issue.

Also, can you really have 256 distinguishable color levels on a piece of paper - especially considering that paper is not a uniform color on the micro-scale (it's made up of short strands of cellulose)?

Even if all these problems can be overcome, there is the limiting factor of diffraction, which will limit any optical system (paper or otherwise) to a data density of about 1/wavelength^2, which is roughly the density of a DVD.

I've always defended Slashdot, but..

[Peter Cooper]

In this Digg generation, I've still kept reading Slashdot. The community here feels a lot nicer (surprising, I know!) and a lot more clued up. It's just a shame, then, that idiotic stories like this get posted. Usually I wouldn't whine about a bad story, but it was an hour or two before this story hit that I read the whole "why it's a scam" story on Digg.. so I read how stupid something is on Digg, only for it to be posted seriously here at Slashdot.

It's time for some sort of shakeup with editorial at Slashdot. Digg is imperfect and a lot of the users are idiots (I'd certainly say the average Slashdotter is significantly more intelligent and clued-up) but Slashdot is slow and has a poor editorial process. Could we, perhaps, strive to produce something with the perfect mix of the two? Fast news, the ability to vote, etc, but coupled with the superb Slashdot audience? It's all false hope, I'm sure, but I have more hope in people than technology.. so Slashdot is just the place to bring this up IMHO.