## Welcome to the Dozenal Wiki!Edit

The base-twelve numbering system and its applications.

## What is Dozenal?Edit

The dozenal system (also known as base-twelve or duodecimal) is positional notation numeral system using twelve as its base. In dozenal, the number ten (also known as dek) may be written as "A", "X", "T" or a rotated "2" (introduced by Sir Isaac Pitman); the number eleven (also known as el, elv, lev, or ven) may be written as "B", "E", or a rotated "3" (introduced by Sir Isaac Pitman).

The number twelve (also known as doh, doz, zen, or unqua) is written as "10" in dozenal (meaning "1 dozen and 0 units", instead of "1 ten and 0 units"). whereas the number "12" means "1 dozen and 2 units". As well, in dozenal, "100" means "1 gross" (also known as gro, gross, grosan, or biqua) and "1000" means "1 great gross" (also known as grand gross, great gross, mo, megro, unand, migross , meg-gross or triqua).

The number twelve is a highly composite number, is the smalled number with four non-trivial factors (2, 3, 4, 6), and the smallest to include as factors all four numbers (1 to 4, the number n’s such that general algebraic equation with degree n have algebraic solutions) within the subitizing range.

## Symbols used in this wikiEdit

"↊" (or X) is the digit used for dek (decimal 10)

"Ɛ" (or E) is the digit used for elve (decimal 11)

";" for the dozenal point

Overline for repeating dozenal fractions (e.g. 0;1 = 0;111111111111..., 47;539 = 47;5393939393939...)

"%" for the dozenal percent (e.g. 34;5% = 0;345)

"‰" for the dozenal permille (e.g. 345‰ = 0;345)

"ln" for the natural logarithm (base *e* = 2;875236069822...)

"log" for the dozenal common logarithm (base 10)

"//" for concatenation (in dozenal) (e.g. 47//39//5 = 47395, (2×9)//(3+5) = 16//8 = 168)

"*a ^{n}*" for exponentiation (

*a*^

*n*) (e.g. 3

^{5}= 183)

"*a _{n}*" for concatenation of

*a*,

*n*times with itself (in dozenal) (e.g. 3

_{5}= 33333, 9

_{17}= 9999999999999999999, 58

_{6}= 5888888, 5

_{6}8 = 5555558, (58)

_{6}= 585858585858, 17

_{5}4 = 1777774, 6(497)

_{3}82 = 649749749782)

"sin(*x*)" for the sine function with the angle *x* in radians (a turn, or a cycle, is 2π = 6;349416967E64... radians)

"sin(*x*°)" for the sine function with the angle *x* in dozenal degrees (a turn, or a cycle, is 100; dozenal degrees)

"*a*Δ*n*" for the dozenal scientific notation, i.e. *a*×10;^{n}, with real number 1≤*a*<10; and integer *n*