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Sezimal Digits

and other symbols

The sezimal digits 󱸀󱸁󱸂󱸃󱸄󱸅 are numeric representations of the same values as the hindu-arabic digits 012345, but with a distinct visual identity that conveys imediately that the number is expressed in sezimal base.

They are formed within a triangular matrix containing the values 1, 2 and 2, as shown in the illustration above; each digit has a certain characteristic trait that “embraces” or “points to” the values that sum up it’s own numeric value;

Zero

Zero does not “embrace” any value on the original matrix, therefore, it’s only a centralized point; as this point alone would be rather difficult to parse among the other digits, we emphasize the point with a ring, giving the digit a more traditional “zero” apearance;

One

One “embraces” it’s corresponding value on the original matrix; it’s cup is open, and it’s stem sits at the right of the cup, indicating that the “embraced” value is only the superior left one;

Two

Two “embraces” it’s corresponding value on the original matrix, as does one; it’s cup is open, and it’s stem sits at the left of the cup, indicating that the “embraced” value is only the superior right one;

Three

Three “embraces” the sum of it’s corresponding value on the original matrix; it’s cup is closed, and it’s stem centralized, indicating that the “embraced” values are both the superior ones;

Four

Four “point to” and “embraces” the sum of it’s corresponding value on the original matrix; it’s right superior edge “points to” exactly the right superior value on the original matrix, and it’s inferior cup “embraces” the complementing value of it’s sum;

Five

Five “embraces” at the same time all three points of the original matrix, summing up to it’s own value;

Punctuation and other symbols

Wedge ― Sezimal Separator

The wedge, or sezimal separator, divides the number between it’s integer part to the left and it’s fractional part to the right, the same way the full stop in English, or the comma in Portuguese, French, etc. work in the decimal base;

Repeating Separator

The repeating separator shows that the fractional part to it’s right repeats indefinitely, it’s a recurring sezimal; traditionally, this is indicated with a vinculum, a horizontal line above the repeating digits: 󱸀󱹯󱸁󱸂󱸃 0󱹯123 0.1̅2̅3̅;

The same technique for representing fractions that repeat can be used with the traditional separators, so . → ‥ and , → „

Shadara Separator

The shadara separator marks the separation of groups of digits within a number, by each six digits, i.e., 󱸁󱸀󱸥󱸤 10¹⁰, 󱸁󱸀󱸦󱸤 10²⁰ etc.; visually, it has the same shape as the wedge/sezimal separator, only smaller, and pointing downwards from the top of the line;

Arda Separator

The arda separator marks the separation of groups of digits within a number, by each six digits, starting from the third digit, i.e., 󱸁󱸀󱸧 10³, 󱸁󱸀󱸦󱸧 10¹³ etc.; visually, it’s a space narrower than the regular space the separates words, the point shown on the illustration just indicates the space occupied by the separator; if there are only four digits to group, then the arda separator would isolate just one digit to the left of it, and, in this circumstance, it can be ommited; this option is used throughout the work presented on this website;

“Per Nif” and “Per Arda” Symbols

They work the same way as the % on the decimal base, and may, naturally, be replaced by simply using p/n for 󱹱 and p/a for 󱹲;

We can extend the concept to make more symbols: 󱹰 per six, 󱹳 per six arda, 󱹴 per nif arda, 󱹵 per shadara etc.;

Base Nif

Base nif, or base thirty-six, is a positional number notation, like sezimal and decimal, but uses thirty-six as it’s base; as nif is six squared, it’s possible to “compress” a sezimal number, two by two digits, into a niftimal number:

Using letters to represent the numbers above nine is the most common practice, but here we propose another way to represent niftimal digits, shown here in sezimal and hindu-arabic digits:

For the digits of the +10 column, one dot above; +20, two dots; +30, a small circle, like the upper part of the digit 󱸃; +40, a small horizontal line, like the upper part of the digit 󱸄; finally, +50, a small bow, the bottom part of a circle, as the start of the upper part of the digit 󱸅.

Sezimal Font

All special sezimal characters used on this work are available on a customized build of the Iosevka Font; you can download a full monotype version from here and a quasi-proportional version from here;

If you wish to use them on your own website, you’re free to use the following code:

<link rel="stylesheet" type="text/css" href="https://midia.tauga.online/fonts/iosevka/font-iosevka-qp.css" />

<link rel="stylesheet" type="text/css" href="https://midia.tauga.online/fonts/iosevka/font-iosevka-mono.css" />

Use the font-families "Sezimal QP" for the quasi-proportional version and "Sezimal Mono" for the monotype version;

The table below shows all added characters to the original Iosevka font, in order from top to bottom, left to right, and the presented order is also the standard sorting order proposed for the characters:

Digits’ Codepoints

Punctuation and Symbols’ Codepoints