Vortex Math Doubling Patterns: 1248751, 3636, 9999

In this video I show the patterns that arise when we continuously double and take the vortex sum of numbers in the base 10 system. When doubling from 1, we get the 1248751 pattern; doubling from 3 yields 3636, and doubling from 9 just gets 9999. I show this is the case for very large numbers in Microsoft Excel by using the modulo operation function. Again, this is all because multiplying a number and taking its vortex sum is the same as taking the vortex sum first to get a single digit between 1 and 9, and THEN taking the vortex sum. Reducing the domain of infinite numbers to just 9 means we will always obtain such repeating patterns!

Excel sheet: https://1drv.ms/x/s!As32ynv0LoaIiJgVMhymuQtS2K4xgg

#math #vortexmath #modulararithmetic #numbertheory #education

12 Vortex Doubling Patterns.png

Timestamps

Vortex doubling patterns – 0:00
Recall: vortex sum of a multiple of a number = vortex sum of the multiple of the number's vortex sum – 0:14
1248751 doubling pattern in Excel table via modulo operation – 2:18
Doubling checking mod function by calculating the vortex sum – 5:30
3636 doubling pattern – 7:06
9999 doubling pattern (Note that mod function gives answer of 0) – 10:08