I know the first 35 digits of π: 3.1415926535897932384626433832795028 I also know that π goes on forever. I want to find out some properJes of π:
- How many times does each number(0,1,...,9) occur in a set number of digits of π and how the data changes if I use larger numbers of digits.
- How far apart the occurrences of each number are and what the paTerns are.  HYPOTHESIS I analyzed the first 35 digits of π I know. I found that 3 occurred more oYen than any other number and 0 occurred the least. Based on this, my hypothesis is:
- Each number will occur a very different amount of Jmes than another.
- Some numbers (like 0) will occur much farther apart than other numbers.
PROCEDURE
- I used Google to find a python program that generates digits of π. The program is simple, but I don’t understand exactly how it works.
- I could copy this on Scratch ( an online programming language) and I did.
- I tested the Scratch program, but it was inaccurate aYer 46 digits of π.
- Because of this, I decided to stick with Python and learn more about it (thanks Devoxx4Kids!!) 5. I added my own code to the program so it would also count how many of each number there were in a given number of digits of π.
- I also added code so it would find the distances between occurrences of each number. (My code writes this data to a comma separated value file which can be opened by Excel)
- AYer tesJng it, I ran experiments to generate data for 100, 1000, and 10000 digits of π
- Finally, I analyzed the results in Excel and generated some π charts to show the data.