Irrational numbers laboratory in VB6

[Paul A. Gagniuc]

A sequence of digits that never ends and never exhibits any clear patterns, is scratchy for any questioning mind. The main question in regard to this project is: Are there patterns in the digits of irrational numbers? PI laboratory is a scanner that tries to show patterns in the digits of irrational numbers, in a graphical manner. PI, e, Ratio, or Sqrt(2) are some of the numbers taken into consideration. Each sequence of digits has a length of 10,000 digits. The application treats these sequences of digits as signals. The heatmap shown in the graphical interface represents a transition matrix in which the probability of transition between digits is signified by colors. Bright red is 1 and black is 0. Below the heatmap is a graph showing the frequency of digits (0-9) in a sliding window above the sequence of digits. Below the last graph is another graph showing the frequency of digits on all processed sliding windows. This is important as it appears that the frequencies of the digits increase one by one, in the sense that the frequency of one digit has a steep increase and the frequency of other digits remain temporarily unchanged, after a while the frequency of another digit increases and the others remain unchanged, and so on. There's a lot to be said for this irrational number scanner. For this reason, I believe that full functionality can be seen by studying the source code.

Download: PI laboratory in VB6

[Elroy]

Also, any patterns you find are probably "base" dependent. Patterns you find in base-10 may not be there in base-2 or base-16 (or any other base). It seems that a pretty good definition of an irrational number is one that "has no pattern" (and that any quasi-patterns are just illusory and coincidental).

[Paul A. Gagniuc]

Also, any patterns you find are probably "base" dependent. Patterns you find in base-10 may not be there in base-2 or base-16 (or any other base). It seems that a pretty good definition of an irrational number is one that "has no pattern" (and that any quasi-patterns are just illusory and coincidental).

Indeed Elroy, any quasi-patterns are just illusory and coincidental. Perhaps I should have said in the description that the software does not show any visible patterns (at least at first glance), but that would have disappointed many people. However, I must admit, my intuition tells me there is more to these numbers, thus the reason for making this software.