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?
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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