Changes

'''Mandae numeral system''' is a dozenal numeral system used on the [[Continent]]. It was developed some time during the [[dantrian_calendar|first revolution]] and has gradually replaced base 6 and decimal numeral systems used throughout Ahldoraean history.

'''Mandae numeral system''' is a dozenal numeral system used on the [[Continent]]. It was developed some time during the [[dantrian_calendar|first revolution]] and has gradually replaced base 6 and decimal numeral systems used throughout the Continent.

Just like the [[Mandae]] language, during the second revolution the Mandae numeral system became an elitarian numeral system, existing along side the Dantrian one. The latter wasn't even positional and was used by the common people for basic calculations. A specialized positional decimal system was used by architects and other professionals in Central and Western Dantria.

Just like the [[Mandae]] language, during the first revolution the Mandae numeral system became an elitarian numeral system, existing alongside the Dantrian numerla system, which was decimal. The latter wasn't even positional and was used by the common people for basic calculations. A specialized positional decimal system was used by architects and other professionals in Central and Western Dantria.

Mandae numeral system quickly found its way to the east through diplomatic channels. It took hold in [[Yammoe]], which at that time already had a system of public education, and recognized a base 12 numeral system as a better tool to teach arithmetic. By the end of SR, its use spread to Gantolia and was later adopted by the Loodon Empire.

Mandae numeral system quickly found its way to the east through diplomatic channels. It took hold in [[Yammoe]], which at that time already had a system of public education, and recognized a base 12 numeral system as a better tool to teach arithmetic. By the beginning of the second revolution its use spread to Gantolia and was later adopted by Asdoh.

[[Land]] and [[Zamborana Zambonia]] (later [[Zambon]]) continued to use a positional decimal system of the sort used by experts in Western and Central Dantria up until the 3rd CTR.

[[Land]] and [[Zamborana Zambonia]] (later [[Zambon]]) continued to use a positional decimal system of the sort used by experts in Western and Central Dantria up until the middle of the second revolution.

The [[Dantrian calendar]] uses a decimal system, as the widespread adoption of the Mandae numeral system for calculation came much later. Therefore, the inhabitants of the [[Continent]] treat years as obeying a very special, somewhat alien numeric system, different from the usual arithmetic they use in everyday life. At the same time, the name of the ordinals, as well as the symbols, are in Mandae even for the decimal system of the Dantrian calendar.

The [[Dantrian calendar]] uses a decimal system, as the widespread adoption of the Mandae numeral system for calculation came after the adoption of the calendar. Therefore, today the inhabitants of the [[Continent]] treat years as obeying a very special, somewhat alien numeric system, different from the usual dozenal arithmetic they use in everyday life. At the same time, the name of the ordinals, as well as the symbols, are in Mandae even for the decimal system of the Dantrian calendar.

Mathematical research is done in the Mandae system.

Mathematical research is done in the Mandae system.

The general incremental nature of the symbols can actually be observed in digits 1 through 8: 1 is a line, 2 is essentially two connected lines, 3 is three and four is a square, made up of 4 lines. Then elements are incrementally added up to 8.

The general incremental nature of the symbols can actually be observed in digits 1 through 8: 1 is a line, 2 is essentially two connected lines, 3 is three and four is a square, made up of 4 lines. Then elements are incrementally added up to 8.

While there are special symbols for 72, 144 and 1728, numbers up to 144 can be pretty  comfortably written down, using the available twelve digits. One uses a vertical line called "staff" (a literal translation from Mandae) to sum the digits, thus producing a new digit. For instance, if one wishes to write down 14, one can write it as any combination of the two digits, be it 12+2 or 11+3 or 10+4. Different countries tend to adapt several common combinations, and the rule of thumb is two try to use the largest digit. So, in case of 14 it would be more common to represent it by doing 12+2. Typically, the smaller number is on top and the larger number is at the bottom. One can also simply put one number after the staff, which would mean that the number is summed by itself, thereby allowing to write down 14 as 7+7:

While there are special symbols for 72, 144 and 1728, numbers up to 144 can be pretty  comfortably written down using the available twelve digits. One uses a vertical line called "staff" (a literal translation from Mandae) to sum the digits, thus producing a new digit. For instance, if one wishes to write down 14, one can write it as any combination of the two digits, be it 12+2 or 11+3 or 10+4. Different countries tend to adapt several common combinations, and the rule of thumb is two try to use the largest digit. So, in case of 14 it would be more common to represent it by doing 12+2. Typically, the smaller number is on top and the larger number is at the bottom. One can also simply put one number after the staff, which would mean that the number is summed by itself, thereby allowing to write down 14 as 7+7:

[[File:Compound numbers.jpg|center|thumb|The number 14 represented in three different ways: 12+2, 7+7 and 4+10.]]

[[File:Compound numbers.jpg|center|thumb|The number 14 represented in three different ways: 12+2, 7+7 and 4+10.]]