Part 1/9:

Understanding Vortex Sums Across Different Number Bases

Mathematics often involves working within various base systems, whether it be base 8 (octal), base 7, or more complex systems like hexadecimal (base 16). A key concept in number theory and computational mathematics is the vortex sum, which essentially involves summing digits within a particular base and then taking a modulo to find the remainder. This process, however, becomes complicated when dealing directly with bases other than the default base-10 (decimal), especially because programming languages and tools like Excel or node.js primarily operate using base-10 modulo functions.