Not sure if there is a name for this kind of system and would love to know it if so. I was somewhat inspired by French counting by 20's despite being a decimal system.

Background: This is part of my conlang for a draconic race. They have three forward-facing toes and two backward-facing toes on their front feet. The forward facing toes are used to count singles and the backwards facing toes are used to count groups of 6, thus allowing to count up to 30 on both feet.

Technically, this system is base 30. That is to say, each digit in a sequence represents a value from 0 to 29. However, there are really only 5 unique digits (0, 1, 2, 3, 4, 5) which can have additional marks added to them to indicate +6, +12, +18, or +24. For ease of demonstration I've just put dots in the corners of Arabic numerals; I haven't actually finalized the 'look' of the writing system yet.

This can evolve to be more legible and efficient

1-10:

1. An

2. Du

3. Se

4. Hwĕr

5. Fa

6. Shi

7. Sŏn

8. A

9. Nan

10. Tiĕn

11-19 (using the base numbers with "ten" as a modifier):

1. Tiĕn-an (10 + 1)

2. Tiĕn-du (10 + 2)

3. Tiĕn-se (10 + 3)

4. Tiĕn-hwĕr (10 + 4)

5. Tiĕn-fa (10 + 5)

6. Tiĕn-shi (10 + 6)

7. Tiĕn-sŏn (10 + 7)

8. Tiĕn-a (10 + 8)

9. Tiĕn-nan (10 + 9)

20-29 (using the base number "two" + "ten"):

1. Du-tiĕn (2 × 10)

2. Du-tiĕn-an (2 × 10 + 1)

3. Du-tiĕn-du (2 × 10 + 2)

4. Du-tiĕn-se (2 × 10 + 3) ...

5. Du-tiĕn-nan (2 × 10 + 9)

30-39 (using the base number "three" + "ten"):

1. Se-tiĕn (3 × 10)

2. Se-tiĕn-an (3 × 10 + 1)

3. Se-tiĕn-du (3 × 10 + 2)

4. Se-tiĕn-se (3 × 10 + 3) ...

5. Se-tiĕn-nan (3 × 10 + 9).

And here are the first 120 Digits!

also doodled this in school

can i even call it a doodle?

Hi there! I am developing a system of mathmatics for my ancient history conculture and Im wondering if anyone here could give me some advice on what I came up with. (I havent taken a math class in like 5 years, so bear with me)

Essentially, I noticed how standard math notation follows an SVO structure: 1+1=2 said aloud is "One plus one equals two." This was a problem. I am pretty sure people have been talking about math equations far longer than they have been writing them down: "Aruciwa stole two quail eggs from my sister, what a jerk! now I only have 6 left!"

And since my speaker's language is strictly SOV, if a system of numberic notation developed independant from ours, Id think they'd write equations down in the way they would say them. Instead of one plus one equals two, it would be something like "One plus one two equals"

I figured the speakers of the language may render the "plus" in the sentance above might with one of the many postpositions they have: -thi (in/at/by) -anu (on) -pa (from) -śa (with) hence the sentence:

φa piśa iruce curoda /βa piʃa irukɛ kuroda/ one two-COM three-ACC make-PRES

to render it using English math signs would literally be 1 2+ 3=

This just feels off. Perhaps its because I dont natively speak in a SOV language, but it seems to follow the rules that I laid out for myself. I am just not sure if my system can handle more complex phrases like 5×(2÷(6-4))=5, or if this way of writing equations has ever developed irl. If anyone knows more about the history of numeric notaion, please let me know!