What numbering systems have been developed using Unicode characters that are NOT letters of the English alphabet or Arabic numerals?

Question

I see many base-16, base-64 etc numeric systems use the 0-9, a-z, A-Z -_, etc, but what systems are people using that make use of other unicode characters, without using any English letters or Arabic numerals.

I am thinking of developing a base-12 system using shapes in Unicode, so if there's anything like that I could learn from, it would help a lot!

If you are curious to see all the characters, try this out in terminal

php -r 'for ($x = 161; $x < 155000; $x++) {echo html_entity_decode("&#".$x.";",ENT_NOQUOTES,"UTF-8");}'

EDIT

To be perfectly clear, I mean no numbers and no english letters.

Answer 1

The base and the characters are completely independent. The base says how many characters you need, so for hexadecimal you need $16$ distinct digits (though digits has a root of $10$ I will use that for any base). Traditionally the digits are $0-9, A-F$ but you could use any $16$ distinct characters to express numbers in hexadecimal. If you want a base $12$ system, you need $12$ distinct characters to express the digits. Whether you get them from Unicode, using $0-9, A,B$ or glyphs from Klingon does not change how we interpret the numerals.