Good example. This leads me to wonder, if we were starting from scratch, whether the relations between numbers (as you’ve demonstrated here), or the positional notation, would make for a better optimization target for numeral systems.
In a number, there are generally two things we care about: its magnitude, and its value modulo something (e.g. is it even? is it round? for large modulo, we just get the exact number out). A good number system would somehow communicate both.
Good example. This leads me to wonder, if we were starting from scratch, whether the relations between numbers (as you’ve demonstrated here), or the positional notation, would make for a better optimization target for numeral systems.
In a number, there are generally two things we care about: its magnitude, and its value modulo something (e.g. is it even? is it round? for large modulo, we just get the exact number out). A good number system would somehow communicate both.