Trezenal Wiki



Welcome to the Trezenal Wiki!
The base-thirteen numbering system and its applications.

What is Trezenal?
The trezenal system (also known as base-thirteen or tridecimal) is positional notation numeral system using thirteen as its base. In trezenal, the number ten (also known as X|dek) may be written as "A", "X", "ω", or "F"; the number eleven (also known as B|el, elv, lev, or ven) may be written as "B", "E", "ζ", or "M"; the number twelve (also known as J|zen, doh, doz, or dozen) may be written as "C", "J", "V", "ε"or "K".

The number thirteen (also known as trezen, treh, tri, onety, or unqua) is written as "10" in dozenal (meaning "1 trezen and 0 units", instead of "1 ten and 0 units"). whereas the number "13" means "1 trezen and 3 units". As well, in trezenal, "100" means "flowi" (also known as flowing, biqua) and "1000" means "1 xilli" (also known as xilling,  xenoflowi, great flowi, big flowi, meg-flowi or triqua).

The number thirteen is a prime number

The number 10 is the largest number (and the only number beside 0 and 1) which cannot be written as sum of a positive squarefree number and a positive square.

Symbols used in this wiki
F (or X) is the digit used for dek (decimal 10)

M (or B) is the digit used for elve (decimal 11)

K (or J) is the digit used for doz (decimal 12)

"%" for the trezenal percent (e.g. 34,5% = 0,345)

"‰" for the trezenal permille (e.g. 345‰ = 0,345)

an" for exponentiation (a^n) (e.g. 35 = 159)

"an" for concatenation of a, n times with itself (in trezenal) (e.g. 35 = 33333, 917 = 99999999999999999999, 586 = 5888888, 568 = 5555558, (58)6 = 585858585858, 1754 = 1777774, 6(497)382 = 649749749782)

Gallery
