Math

This page is just going to be a quick run-down on how numbers work and then go into some basic stuff. Firstly, it is a duodecimal (base 12) numerical system. There are a few websites that do conversions, I use this one for the larger numbers, but the smaller (less than 10012) are easy enough to work out. The decimal system is the one used in this wiki to make things easier to understand, with terms that need to be in duodecimal noted by a subscript "12".

## Math

### Numbers

As with the conlang that it is part of, I did not create this number-naming system. It is being used simply because it is elegant and sensical.

Example: The number B212 (13410) is fɛj

Example: The number 4025A6B24112 (2072834702510) is souɬəjçɪjup'əjwɛjɛufəjbi

(sou - ɬəjçɪ-ju - p'əjwɛ-ɛu - fəjbi)

This can also be written as souçɪjup'əjwɛjɛufəjbi (sou - çɪ-ju - p'əjwɛ-ɛu - fəjbi), as the zeros are not required to be written.

Example 2: The number 348B12 (586710) is lɛusəjwɐj (lɛu-səj-wɐj)

Presently there is no word for anything above BBB BBB BBB BBB12. But the number infinity is "gɛo". In the meantime, simply write those numbers in digits.

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And now for powers. Instead of referring to a thousandth of a second as 0.001 seconds, one can refer to the same number as 1 millisecond.

This system works in a similar way, but instead of conceptualising it as a thousandth of a thing, it is seen as a thing multiplied by 1012 to the power of negative three (i.e 1 millisecond = 1 x 1012-3 seconds). On the reverse, a kilo-second (1000 seconds = 1 x 10123 seconds) is to the power of positive three.

As an example, a milli-jɪɾɪ is a jɪɾɪjɑl, as the power is negative, the number 3 (lɑ) is placed as a suffix and spelt backwards. A kilo-jɪɾɪ is a lɑjɪɾɪ, as when the power is positive it is placed as a prefix and spelt the correct way around.

Again, with the maximum number name limit, the maximum power is 1012BBB BBB BBB BBB, and the minimum being 1012-BBB BBB BBB BBB. But frankly that's an stupidly large (or stupidly small) number, and I don't really think that such numbers would ever be needed. Plus, for exaggeration, simply 1012∞or 1012-∞ works just fine.

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### Measurements

Some basic measurements and their SI conversions:

Examples of other measurements and their units. These are essentially combinations of the above with '-ɹo' added to denote 'per':

speed (bɑɾɪkoɹoɾɪ): ðɛmɪɹojɪ (length / time)

acceleration (bɑɾɪkoɹoɾɪɾɪ): ðɛmɪɹojɪjɪ (length / time2)

density (tap'ɪɹokokoko): tʃɛsɪɹoðɛðɛðɛ (mass / length3)

force (tap'ɪkoɹoɾɪɾɪ): tʃɛsɪðɛɹojɪjɪ (mass x length / time2)

Area and volume are weird exceptions to the rules, but only for the word itself and not its measurement:

area (fɑɾɪko): jɪjɪðɛ

volume (lɑɾɪko): ðɛmɪðɛðɛ

All measurements are always used in the singular manner (so 1 ðɛmɪ, 2 ðɛmɪ, 37.6B2 ðɛmɪ)

For alterations to measurements:

say you wanted to measure acceleration in kilo-ðɛmɪ per milli-jɪɾɪ2 - lɑðɛmɪɹojɪjɑljɪ

In this only the first 'jɪ' needs to be denoted as 'jɪjɑl' (or jɪɾɪ x 10-3) and the rest can automatically be assumed the same unless otherwise specified

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### Angles

Angles are measured in hɛθ, which is equivalent to 2π10 radians, which is equal to 360o. When measuring angles, one must always move anti-clockwise. For example, if the angle AOB is 30o (Where A, O, and B are three points), then the angle BOA must be 330o. As a single hɛθ is equal to a full circle, smaller powers are used as actual measurements, usually hɛθɑl.

Pictures will be added later, since that's kinda hard to explain without.

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### Location

There are six cardinal points, as follows:

 vɔkɔ
 ʃulun
 ɾɛnɛ
 θifim
 ɹoso

(note: true north and south refer to the geographic poles, and not to the magnetic poles, which are not fixed in location)

There is no equivalent to latitude and longitude. Instead, a global location is determined using three aspects. First, the name of segment of the planet in which the location is; second, the angle between the line describing x (true-north) and the line between the apex of the segment and the location; and thirdly, the distance between the apex of the segment and the location.

Here is the table describing all 10012 segments (called p’ləso, plural p’ləsoɾi). I will put a global map in displaying them later.

(note: segments are unequal in size)

Example: The location which is within the segments described by slice 7 and the ring 2, at a distance from the apex of that segment of 2B.4812 sɑðɛmɪ, with the angle between the line from the apex to true north and the line between the apex and the location being 27.56 hɛθɑf, is:

mɛf, 27.56 hɛθɑf, 2B.4812 sɑðɛmɪ.