RE: VMs: magical voynich dice game ... "gaussianity"

[Marzio De Biasi <voynich@xxxxxxxxxxxx>]

At 04.07 11/09/04, you wrote:

> The (shifted) distribution of values generated by two dice is not at
> all similar to a Gaussian. It is a triangular graph, 6 - abs(x - 6),
> for x from 1 to 11. That's because one can get the sum
>
>     02 03 04 05 06 07 08 09 10 11 12  in
>      1  2  3  4  5  6  5  4  3  2  1  possible ways.
>
> --stolfi

Hi,
The graph of a 2 dice roll looks "not so gaussian" beacause it is produced 
by only 2 dice ... if you use 4 dice its "gaussianity" is revealed:
Of course only if you have tons of dice (infinite) you'll get a perfect 
gaussian curve.
Google --> "gaussian curve"

However taking out numbers 5, 9, 11 (or equivalently 5, 9, 3) from a 
sequence of 2 dice rolls you obtain the same distribution frequencies of 
the word lengths in VM.

Bye,
  Marzio

Here is a good bell for 180000 4 dice rolls:
4,158
5,598
6,1403
7,2753
8,4846
9,7894
10,11049
11,14454
12,17408
13,19578
14,19982
15,19396
16,17588
17,14285
18,11079
19,7703
20,4968
21,2767
22,1406
23,539
24,146











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