Mansūji

Numbers – The system selection

There are many numerical systems in the world, evidencing the heritage of the knowledge through the centuries. From all the existing system, few of them have wide use due to their efficacy. By comparing these systems, and analysing their pros and cons, it is realized that in order to create a new system, three facts must be taken into consideration:

  1. The new system must be a decimal one since it is the most widely spread.
  2. Numbers must represent their correct value (not through adding like the roman numerical system) (CCCLXXXVIII = 388)
  3. Numbers must represent the value of the powers of ten in their actual position (unlike the Chinese system: 3* (100) + 8* (10) + 8 = 388)

The basic Numbers

The numerical system “Mansūji” is created based on the rules above and the writing system’s rules. Both “Manjikana” and “Mansūji” originate from the “Manji” symbol.

By observing the symbol in the figure, a hand movement from the numbers 1 to 9 is followed. The first number is placed at the beginning point (1), the first turn (2), the second turn (3) and the stop (4). Then it starts again at (5), first turn (6), crossing the line in the middle (7), second turn (8) and the end (9).
8 positions on the vertices and one in the middle show the positions where the numbers stay within the rectangle, listed after the formation steps of the “Maji” symbol. To build the characters for each number a simple logic is followed:
“The signs show the position of the numbers within the rectangle”.

1 – vertical line, turning on the upper left side
2 – vertical line, on the upper edge, showing the number is between 1 and 5
3 – vertical line, on the lower edge, showing the number is between 9 and 4
4 – vertical line, turning on the lower right
5 – vertical line, turning on the upper right
6 – vertical line, in the middle heading on the right
7 – vertical line, on the upper and lower edge, showing the number is between 2 and 3
8 – vertical line, in the middle heading on the left
9 – vertical line, turning on the lower left
0 – unfilled rectangle

Some of the numbers (2,3,7,0) show special forms, which do not lose their original logic and are used in special combinations.


The grouping process

The number can be written alone or grouped together within the rectangle.

Taking the number 25715394608 as an example, its standard writing would be each number after the other. To read them faster the numbers are divided by triple groups starting from the last digit. In this system numbers are grouped three by three and written together as a single piece.

The numbers are written in two ways:
1) 25715394608 (alone)
2) 25 – 715 – 394 – 608 (groups of three)

In the first row on the figure numbers are placed one by one. When some numbers are placed next to each other (1 and 5, 5 and 3, 4 and 6, etc.) empty spaces are created, which visually are not correct, besides, they can be easily mistaken for a letter.
To fix this, a rule must be applied; whenever the numbers are written separately, 1,2,5,6 take a horizontal line in 1/3 height starting from the bottom, whereas 3,4,8,9 in 2/3 of the height. 7 has no need for such a line.

To group the numbers there are 4 schemes as below:

  1. The numbers are written separately / after the grouping process one number has remained ungrouped
  2. There are only two numbers / after the grouping process two numbers has remained ungrouped
  3. Grouping three by three
  4. This is used only in special cases, such as: 12.07.2018; the year (2018) can be written as a four piece inside a single rectangle.

The grouping three by three according to the third scheme:

To write the number 388, the combination of 88 according to the second scheme is taken and the number 3 is written on the left through its entire length.
Here it can be observed that hundreds are written on the left through all vertical length. The tens are written combined from the middle to the top, whereas the basic digits are written combined from the middle to the bottom.


Simplification Rules

During the grouping process, the lower horizontal lines of the upper number can be merged with the upper horizontal line of the lower number, just like in the figure.
If there is no possibility of merge, the numbers must intersect to make a compact figure.
To combine 7 with 5 (in the first row), the two lines are merged together, but to combine 2 with 5 both numbers intersect each other by lengthening one element.
Taking 25 as an example, it is observed that to create the combination the special form of 2 with two vertical lines is selected. (this appears only on the numbers 2 and 3). Using the normal version with just one vertical line of the number 2 would make 25 appear same as 75.
Just like above, the numbers 3 and 7 can be confused, so the number 3 is also written with two vertical lines where it is required.

During the grouping process, the lower horizontal lines of the upper number can be merged with the upper horizontal line of the lower number, just like in the figure.
If there is no possibility of merge, the numbers must intersect to make a compact figure.
To combine 7 with 5 (in the first row), the two lines are merged together, but to combine 2 with 5 both numbers intersect each other by lengthening one element.
Taking 25 as an example, it is observed that to create the combination the special form of 2 with two vertical lines is selected. (this appears only on the numbers 2 and 3). Using the normal version with just one vertical line of the number 2 would make 25 appear same as 75.
Just like above, the numbers 3 and 7 can be confused, so the number 3 is also written with two vertical lines where it is required.

These are all the possible double combinations of the numbers from 0 (00) to 99:

Exception to this rule are the numbers 40, 45, 90, 91, as there is no place for simplification. They simply are placed one on top of the other.


Grouping zeros

Large numbers with a lot of zeros like 5.000.000, represent a large amount of 0s, which can be grouped within a single rectangle. Zeros can be grouped three by three or altogether, no matter how many they are. To write these two rectangles are required; one for the 5 and the other one for the zeros.

The grouping of zeros starts this way:
1-In the beginning one zero is written (the unfilled rectangle)
2-Then the total number of zeros is placed

If the number of zeros is between 2 and 9 it is written vertically through the entire length of the rectangle, just like in the figure (top) where are grouped 6 zeros.
If the number of zeros is between 10 and 99, then the tens are written horizontally, whereas the single digit is written in such a way that both digits cross each other over the zero and the single digits lays through the entire length; just like in the figure (middle and on the bottom) where 16 and 26 zeros are grouped respectively.

The single difference between these two combinations lays on the crossing of the numbers 1 and 2 over 6 and 0, changing the meaning from 6 to 16, or to 26 zeros.

If the number contains more than 99 zeros it is proceeded this way:

Example: 5 with 6000 zeros
This number is written as: 5 60(0) 0(0) 0(0)

Example: 7 with 785247 zeros
This number is written as: 7 78(0) 52(0) 47(0)