Multiplying a Number and Its Vortex Sum Results in the Same Vortex Sum

In this video I show that multiplying a number or its vortex sum (summing digits until a single digit is obtained) yields the exact same vortex sum. This is the cause of nearly all of the amazing vortex math patterns! I derive why this is the case, which works for any integer multiple and any general base number system, by showing that the multiples always yields a factor of 9 (or base - 1) plus the remainder multiple. Thus the remainder governs the vortex pattern. And since the final remainder is a single digit, which is limited to the base number system, then it means we will ALWAYS have a repeating pattern regardless if the multiplying numbers grow very large. Quite fascinating! YouTube - Summary - Notes - Playlist - MES Science playlist

#math #vortexmath #modulararithmetic #numbertheory #education