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Bible Codes and some probability

Wrath of the Swarm said:
I believe Null was suggesting that if you placed the letters in a three-dimensional matrix instead of a two-dimensional one, the number of words you'd find would increase exponentially.
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If there really came an exponential increase, I might be converted to believe in the Bible codes. My hypothesis is that it would lead into 4-fold increase in both number of words and non-words, keeping the ratio of words to non-words the same.

That 4-fold figure comes from increasing the number of directions away from a letter from 6 (up, up+right, down+right, down, down+left, up+left) to 24 (the 26 neighbours of a cell minus the original text direction and its opposite).

I also hypothise that the ratio of words to non-words doesn't change noticeably no matter what transformations you do to the text (skipping over 2 or 3 letters, etc). I'm willing to be proven wrong.
 
I suspect you're right about the ratio of words to non-words, but wouldn't the fourfold increase just be part of an exponential series?

I mean, consider how many more possibilities there would be in going from a three-dimensional to a four-dimensional matrix. Although I admit I haven't given the matter much thought, since the number of possible words is directly related to the directions you can search in, wouldn't increasing the dimension of the matrix inevitably lead to an exponential increase in the available possibilities?
 
Wrath of the Swarm said:
I suspect you're right about the ratio of words to non-words, but wouldn't the fourfold increase just be part of an exponential series?
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Yup.
 
Matabiri said:
As a slight aside, you people might find the Dasher project interesting:
http://www.inference.phy.cam.ac.uk/dasher/

(I went to a series of MacKay's lectures last year. They were fascinating, and his book is well worth downloading)
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If any one wants to waste a few hours I suggest they download Dasher . The descriptions don't do it justice. It truely is amazing.

(Input with Dasher.)
 
Darat: when you say "South East, UK", you don't happen to mean "Cambridge", do you?
 
Use huffman compression encoding on a digitized version of any language with 26 characters and than recompose it in a 2d array filled from left to right of the character space in a bible preserving blank spaces. Huffman Encoding = form of binary compression.
 
P.S. the 3d array means you stack pages back to front, meaning you can than search forward and backwards through the bible accross pages. For instance it would now be able to check accross pages for diagonal/back/forth/etc words. I mean think about it, if you were God and wanted to prove your a hot shot make your book store the history of the world by creating the worlds first paper DVD where the way you read it determines the data you get back.
 
Nope, looks like I won't get around to it this weekend either; too much work to do!

Gladly, other people are exploring it (further than I did).
 
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