Numbers....?

Question

Number System!?
Hey, i need to invent a new number system for one of my classes? Could you gimme some ideas on the logic of it, as in how to make a cool pattern to generate new numbers in the system??
Thanks

Answer 1

I had a couple ideas about what you might have been seeking.
How about changing the shape of the symbols we use to be more logical in their choice? The digit zero would be the smallest and the largest valued digit would be the most filled in or largest. There is a limit on the number of items that we can distinguish without counting. Usually it is 6 or 7. 6 makes a good base for fractions. so the number system could be base 6 and the shapes of the symbols could be combinations of lines or arcs.

Many number systems are consistent with electronics switching technologies. Binary is the basis for most such systems because a two condition switch is easiest to implement.
Over the years I have worked with computers which manufacturers have implemented using
base 2=2^1,
base 8=2^3,
base 10 not based on binary
base 16=2^4,
base 32=2^5,
base 64=2^6,
base 128=2^7
base 256=2^8,
base 32768=2^15,
base 2,147,483,648=2^31
base 576,460,752,303,423,488=2^59
base 1,152,921,504,606,846,976=2^60
base 9,223,372,036,854,775,808=2^63
and
base 18,446,744,073,709,551,616=2^64

Answer 2

Hard to improve on our current system.

You could mess with the base to show how it makes division easier. (say base 30) or show how base 6 lets you use your hands like an abacus. Binary/Hex is always fun, (and relevent to computer operation)

OR you could demonstrate that weird base 6/10 blend the Babylonians used, then 'reveal' we STILL use it to measure time. The base 6 componant allows us to easily divide our hours and days into thirds.

Answer 3

From the movie "pi" : Restate my assumptions: One, arithmetic is the language of nature. 2, each thing around us could be represented and understood with the aid of numbers. 3: in case you graph the numbers of any device, types emerge. hence, there are types everywhere in nature. info: The cycling of disease epidemics;the wax and wane of caribou populations; solar spot cycles; the upward push and fall of the Nile