Mytja
Jedi Master
The C's have noted that knowledge if not shared is STS, which is rather straightforward to understand, but if nobody is asking, then it seems like imposing.
Having that in mind, the content of the post corresponding to the title of the thread was placed in the spoiler box.
Having that in mind, the content of the post corresponding to the title of the thread was placed in the spoiler box.
The C's saying that numbers 1-2-3 is all we need to construct other numbers, and arrangement of C's crystals on the table this evening, brought an idea to mind how that could be done. Well, there was also question on my mind what does the C's statement that counting is arbitrary really mean, because that seemed totally counterintuitive and ilogical. And it still does, so I'm inclined to think that was food for thought, if I remember correctly that C's statement.
Number 1 can be written as a dot, . , and it seems that in this type of notation it is not needed anymore for construction of other numbers, which makes me wonder also about that C's statement. In other words, counting does not seem to be arbitrary and number 1 is practically not needed except to know that after number 2 comes number 3 and after number 3 comes number 4, and so on, which basically amounts to counting. Well, except if . is not used for truncating other, higher valued numbers which very quickly in this notation start to appear like a long string of | and =, which looks rather clumsy to work with.
Number 2 is represented as a horizontal line, - , and number 3 as a vertical line, | . Number 4 then simply becomes two horizontal lines, one next to the other, --, or one above or beneath the other, which then gives additional symbol, = , making number 4 almost on equal footing to number 2 and number 3. In that manner, we have four, i.e. three symbols, leaving . aside, to work with:
. 1
- 2
| 3
-- or = 4.
Now, if we take number 4 as -- and convert one - into |, we get number 5 as -|, i.e. 2 and 3 (using notation where lower valued numbers are on the left to higher valued ones), and that's an indication when new symbol appears, i.e. we work with the base 4. Number 6 is then just ||, but it can also be written as -=, and to get number 7, we either convert one | into = or - into | to get |=. Number 8 comes to be when that | becomes =, i.e. ==. Now, that can also be written as -||, which makes ground to work with three symbols and continue 'counting' further. Convert - into | and get number 9 as |||, then | into = to get number 10 as ||=, number 11 as |== and number 12 as ===.
And here we get a 'rule' how and when to add new symbols for higher valued numbers, as number 12 can also be written as four |, |||| , meaning that from three symbols, ===, we switch to four symbols, ||||, and continue converting | into = to get the next number in order. When all | are converted into =, the same switch is applied, i.e. === -> ||||, and the conversion of | into = starts again to go higher in order.
1 .
2 -
3 |
4 = (or --, i.e. transition from one symbol to two)
5 -|
6 || (or -=)
7 |=
8 == (or -||, i.e. transition from two symbols to three)
9 |||
10 ||=
11 |== (or -|||, but we don't need four symbols just yet)
12 === -> |||| (transition from three symbols to four, which makes the basis for further transitions)
13 |||=
14 ||==
15 |=== (which can be written as |||||, but we don't need five symbols yet)
16 ==== -> ||||= (transition to five symbols)
17 |||==
18 ||=== (which can be written as ||||||, but we don't need six symbols yet)
19 |====
20 ===== -> ||||== (transition to six symbols)
21 |||=== (which can be written as |||||||, but we don't need seven symbols yet)
22 ||====
23 |=====
24 ====== -> ||||=== (transition to seven symbols)
and so on we go ...
An interesting thing about this notation is that it makes it rather easy to identify prime numbers, as the numbers which can only be divided by themselves and 1: they are those numbers/symbols which can't be 'decomposed' into identical groups of symbols used for lower valued numbers. In other words, for example number 22 as ||==== can be split into two numbers 11, |== and |==, which then can't be split into the identical groups of symbols anymore, similarly to number 23, |=====, or number 17 |||==. The same goes for number 10, ||=, which can be split into -| and -|, i.e. two numbers 5, which then give five symbol notation for that same number 10, -----, i.e. five numbers 2.
That's all for now, and at least until that dilemma outside of the spoiler box is elucidated. There are other things that I'd like to share, but as nobody is asking, that I'm aware of, I've restrained myself from doing so.
Number 1 can be written as a dot, . , and it seems that in this type of notation it is not needed anymore for construction of other numbers, which makes me wonder also about that C's statement. In other words, counting does not seem to be arbitrary and number 1 is practically not needed except to know that after number 2 comes number 3 and after number 3 comes number 4, and so on, which basically amounts to counting. Well, except if . is not used for truncating other, higher valued numbers which very quickly in this notation start to appear like a long string of | and =, which looks rather clumsy to work with.
Number 2 is represented as a horizontal line, - , and number 3 as a vertical line, | . Number 4 then simply becomes two horizontal lines, one next to the other, --, or one above or beneath the other, which then gives additional symbol, = , making number 4 almost on equal footing to number 2 and number 3. In that manner, we have four, i.e. three symbols, leaving . aside, to work with:
. 1
- 2
| 3
-- or = 4.
Now, if we take number 4 as -- and convert one - into |, we get number 5 as -|, i.e. 2 and 3 (using notation where lower valued numbers are on the left to higher valued ones), and that's an indication when new symbol appears, i.e. we work with the base 4. Number 6 is then just ||, but it can also be written as -=, and to get number 7, we either convert one | into = or - into | to get |=. Number 8 comes to be when that | becomes =, i.e. ==. Now, that can also be written as -||, which makes ground to work with three symbols and continue 'counting' further. Convert - into | and get number 9 as |||, then | into = to get number 10 as ||=, number 11 as |== and number 12 as ===.
And here we get a 'rule' how and when to add new symbols for higher valued numbers, as number 12 can also be written as four |, |||| , meaning that from three symbols, ===, we switch to four symbols, ||||, and continue converting | into = to get the next number in order. When all | are converted into =, the same switch is applied, i.e. === -> ||||, and the conversion of | into = starts again to go higher in order.
1 .
2 -
3 |
4 = (or --, i.e. transition from one symbol to two)
5 -|
6 || (or -=)
7 |=
8 == (or -||, i.e. transition from two symbols to three)
9 |||
10 ||=
11 |== (or -|||, but we don't need four symbols just yet)
12 === -> |||| (transition from three symbols to four, which makes the basis for further transitions)
13 |||=
14 ||==
15 |=== (which can be written as |||||, but we don't need five symbols yet)
16 ==== -> ||||= (transition to five symbols)
17 |||==
18 ||=== (which can be written as ||||||, but we don't need six symbols yet)
19 |====
20 ===== -> ||||== (transition to six symbols)
21 |||=== (which can be written as |||||||, but we don't need seven symbols yet)
22 ||====
23 |=====
24 ====== -> ||||=== (transition to seven symbols)
and so on we go ...
An interesting thing about this notation is that it makes it rather easy to identify prime numbers, as the numbers which can only be divided by themselves and 1: they are those numbers/symbols which can't be 'decomposed' into identical groups of symbols used for lower valued numbers. In other words, for example number 22 as ||==== can be split into two numbers 11, |== and |==, which then can't be split into the identical groups of symbols anymore, similarly to number 23, |=====, or number 17 |||==. The same goes for number 10, ||=, which can be split into -| and -|, i.e. two numbers 5, which then give five symbol notation for that same number 10, -----, i.e. five numbers 2.
That's all for now, and at least until that dilemma outside of the spoiler box is elucidated. There are other things that I'd like to share, but as nobody is asking, that I'm aware of, I've restrained myself from doing so.
