# Don's Fun with Math Page

Golly, what would it look like if you:

- had a table where the x axis was numerical bases (say base 3 through base 258) and the y axis was integers (say 3 through 258)
- define "nine" as base - 1
- then took the reciprocal of each integer for each base up to base = integer-1
- broke the repeating decimal pattern (if it has one) in half
- added the halves together
- color the cells in the table where all the digits of the summed halves were "nine"'s

Well, now we know:

click here for the Super Deluxe display

Warning, the deluxe display is huge and takes a long time to load. Once loaded, expect
long rendering times when you play with the masking options.

Here's a

work-in-progress for plotting random patterns in the search for vertical alignments

Update: it appears that the methods employed for identifying numbers meeting the "Niners" criteria
can also be used to identify prime numbers.

Prime Tester
Click here to View attributes of any number smaller than 10,000,000 for
bases smaller than the number or about 999,999 (whichever is smaller). Displays number of non-recurring decimals, length of
recurring decimal pattern, repeating pattern sum (both base-1 and base-OTHER) and more. Actual limitations of the code are for
numbers less than or equal to 4,294,967,297 but because we're on a shared server (and we ALWAYS strive to be good neighbors), we've
deliberately limited our calculation parameters. (Remember, for 10,000,000 we're calculating out to 10,000,000 decimal places!)

Now with graphing in breathtaking 2D!

## Don's Blackjack Simulator

Is it possible for an accomplice's stack of chips to serve as a card counter for those with
impaired short-term memories? Click here to find out.