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I'd love to study a problem: How much information can be stored in a blank paper sheet.

with those considerations: "store in a sheet" means writte letters or numbers or equations, with a pen and a human hand.

"writte" means there should be a good size of letter to be legible by a person without lens.

also try that the information is not redundant or out of context or incoherent.

Which area of math can help me achieve this?

user26857
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José Osorio
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1 Answers1

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You could view the sheet as information channel and determine the Shannon Entropy of the information written on the sheet.

Assuming an A4 sheet with 213 x 296 mm², you could draw 252192 dots 1x1 mm² on the sheet. If each presence or absence of a dot represents one bit, the information content of the sheet would be some 31 kByte.

This can be increased, if you allow smaller dots.

Axel Kemper
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  • thank you for your answer, I'm not sure why I'm downvoted, I'd wish soemone clarify their intentions at least :/. – José Osorio Jun 16 '16 at 07:59
  • I guess that the downvoters objected a lack of clarity in your question. You don't explain any own thoughts and solution attempts. Please consider accepting the answer if it is helpful for you. – Axel Kemper Jun 16 '16 at 09:08