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VMs: voynich dice game ... sunday thoughts

Hi,
In a previous post I noticed how the word length distribution of VM MATCHES (not only is similar) the distribution obtained with 2 dice assuming that 3 of the numbers in (3,5,9) have a "special meaning" (like switch to another cardan grill, change encryption schema, ecc.).

So, one can assume that the spaces in VM are totally random and dice driven ... the implications of this assumption are:

1) the underlaying text (VM with spaces stripped out ) is an unencoded text in some unknown language
FALSE: in this case, the frequencies distribution of the first (or the last) characters of each word should be almost the same of the characters distribution of the whole VM (I tried it and they are totally different).

2) the underlaying text is an encoded text
TRUE ONLY IF the encodation schema is "space aware" i.e. change whenever a space is (randomly) encountered (for the same reason above).

3) the underlaying text is randomly generated by an (invented) cardan grill without spaces (as the assumption is that spaces are randomly generated)
TRUE ONLY IF the way the grill is used is "space aware"

Of course there are two other major and well known (and obvious) options if one refuse the idea that the word lengths are randomly generated "at runtime" :-) with 2 dice:

A) the VM is a hoax -> the cardan grill (or other schema) used has "hard encoded" that space distribution

B) the VM is not a hoax ->
B.1) written in an unknown language with a (so) strange word lengh distribution
B.2) encrypted text -> as above the space distribution should be "hard encoded" in the encodation schema

Bye,
  Marzio


While playing with unique occurrencies of sentences I decided to
do myself a word-length statistic.
I read (don't remember the author - excuse me) about the similarity
of the word length frequences distribution in VM and a gaussian curve
produced by two dice shifted by 1.

I play with two "virtual dice" and obtained the same result ... they
are similar ... BUT THEY ARE NOT THE SAME.

But ... if the author of the VM gave special meanings to some of the
number obtained from the dice???
Well, I loaded my HD with hundreds of dice and tested all combinations
in wich one or more of the numbers 1..12 is considered a "special meaning"
number.

The result is that if we adopt this schema:

DICE    VM WORD LENGTH
2       -> produce a word of length 1
3       -> produce a word of length 2
4       -> produce a word of length 3
5       SPECIAL MEANING
6       -> produce a word of length 4
7       -> produce a word of length 5
8       -> produce a word of length 6
9       SPECIAL MEANING
10      -> produce a word of length 7
11      SPECIAL MEANING
12      -> produce a word of length 8

(of course 11 and can be switched).

Well, with this schema, the frequences obtained ARE THE SAME
(with less than 1% of difference):

VM_WORD_LEN   %FREQ VM   %FREQ DICE WITH ABOVE SCHEMA (180000 tosses)
 1             4.6        3.7
 2             7.7        7.7
 3            10.5       11.5
 4            18.3       19.2
 5            24.7       23.2
 6            18.1       19.1
 7            10.8       11.5
 8             3.5        3.8

 9             1.0        ???
10             0.2        ???
..             ...        ...

As you can see some longer words are not included in the game
but they are < 2% of the total words.

Conclusions:
... uhm it's friday night, 20.30 PM ... let's turn off the pc.

Bye,
  Marzio






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