(ii) Creation of patterns using the trinary scale

Figure 581 represents an experiment by expressing the group of four-digit numbers by color variation and the space treatment of the four equally divided four squares. In other words, a square is divided by its two diagonal lines to form four equal parts, and the progressive numbers of the trinary scale are inserted. However, since the smaller parts of the numbers of the trinary scale do not reach four digits, these numbers are modified to look like four-digit numbers by inserting 0 or S.

The procedures for creating patterns are shown as follows: First, 0 is put on the head of each progression number of the trinary scale, 0, 2, 10, 11, 12, 20, to make them three-digit numbers. Next, S is put on the head of each number, and the group of a number similar to four-digits is created (Fig. 581-a).

A screen (200 × 200mm) is divided by squares of 27 similar figures aligned to the center forming ripple-shapes (581-b). At first, the first prepared number in the left table is inserted into the smallest square of the minimum in the center of the screen, and the continuing numbers are successively inserted into rings formed by the next larger squares. 

The screen is divided into four equal parts by the diagonals (A-D). One number composed of four digits is separated, and one each is inserted into the spaces of A, B, C, and D. In this case, the first number (S000) is within the area A. The position of the S in each number moves like a whirl such that the first S is inserted into the B area, the second S is inserted into the C area, etc. (Fig. 581- c).

Color schemes: S= silver, 0= yellow, 1= thick orange, and 2= pale orange (Fig. 581-d). We tried to insert the fifth number (S011) and the sixth number (S012) in the space between the squares in accordance with the above method. Using this method, the diagram of Figure 581-e was generated by substituting all the numbers with visual symbols.
 
 


581-a   581-c
581-b   581-d

 

Figure 581-a, b, c, d: How to make the patterns in the next page.


 

NEXT

CONTENTS