Base 12 (Dozenal) Math Circle and Angles
themagicbox
Member, PRO Posts: 82
Okay I know this is a weird question and isn't really anything to do with coding and more math but its just an idea I had to fit the style of my game...In my game I have a pointer that aims to shoot something...you can adjust the angle with a drag of the mouse and it is measured in decimals from 1 to 180 degrees (half a circle)
My question is how a circle is measured in base 12 and if it would be possible to code that measurement by using its decimal value...after a little research I cant find a definitive way to measure the angles...I initially thought I could just add the extra numbers in dozenal and divide the space 180 degrees takes by the total about of dozenal units..but im pretty sure that's wrong and I found some stuff about how a circle measured in dozenal is usually divided like a clock...so instead of 1-180 degrees for half a circle , it is 1-60 degrees (like 1 to 6 o clock)...is this correct? Every 3 decimal degrees will equal 1 dozenal degree?..
you may be wondering why the HELL am I trying to do this...I just really like how it would look with those cool extra numbers and......its different! lol
My question is how a circle is measured in base 12 and if it would be possible to code that measurement by using its decimal value...after a little research I cant find a definitive way to measure the angles...I initially thought I could just add the extra numbers in dozenal and divide the space 180 degrees takes by the total about of dozenal units..but im pretty sure that's wrong and I found some stuff about how a circle measured in dozenal is usually divided like a clock...so instead of 1-180 degrees for half a circle , it is 1-60 degrees (like 1 to 6 o clock)...is this correct? Every 3 decimal degrees will equal 1 dozenal degree?..
you may be wondering why the HELL am I trying to do this...I just really like how it would look with those cool extra numbers and......its different! lol
Comments
Now what are you trying to do?
The highest power of 12 that is not over 1995 is 12^3 = 1728.
Then 1728 goes into 1995 one time with remainder 267.
The highest power of 12 that is not over 267 is 12^2 = 144.
Then 144 goes into 267 one time with remainder 123.
The highest power of 12 that is not over 123 is 12^1 = 12.
Then 12 goes into 123 ten times with remainder 3, which is less than 12.
http://www.cleavebooks.co.uk/scol/calnumba.htm