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Pattern Making Method and Evaluation by Dots of Monochrome Shigekazu Nishikawa 1,MarikoYoshizumi 1,andHajime Miyake 2 1 Miyagi University of Education, 149, Aramaki-aza-Aoba, Aoba-ku, Sendai-shi, Miyagi 980-0845, Japan 2 North Eastern Industrial Research Center of Shiga Prefecture, 27-39, Mitsuyamotomati, Nagahama-shi, Shiga 526-0024, Japan Abstract : In this study, a pattern making method by dots of monochrome was examined. Moreover, as a result of conducting factor analysis about the made original patterns, the relation between the design condition and the image of the design can be clarified and the basic data of the pattern making for the textile designer were able to be obtained. In the original pattern making, the making method of the basic figure was considered first. Next, the original patterns became innumerable by changing a rotation angle between the two made basic figures. The arrangement method of dots used as the basis of making of a basic figure was limited to square arrangement. The dot was divided from the center of the dot vertically and horizontally. The divided dot was defined as 1/4 dot. When 1/4 dot located in four corners carried out equal distance movement on a diagonal line toward each center of the square which connected the center of the adjacent dot, the basic figure for pattern making was obtained. 18 samples were prepared for the image test. The images of 18 samples were analyzed by the factor analysis. The image factors of these 18 samples are identified by three factors, i.e., ability, evaluation and clearness. The factor of ability is related strongly to the density, the division pattern, and the color of dots. The factor of evaluation is related strongly to the rotation angle of dots. The factor of clearness is related strongly to the division patterns of dots. (Received 28 January, 2008 ; Accepted 29 July, 2008) 2 1,2 3-5 6

2 Fig. 3 Relation of l1 and l2. Adobe Illustrator CS2 L d L 2d L 3d L 4d 3 1 d L 4 1/4 2 1/4 2 l1, l2 3 1/4 l1 0, l2 L, l1 : l2 1:2, l1 : l2 2:1, l1 L, l2 0 4 4 3 4 3 4 12 Fig. 1 Relation of d and L. Fig. 2 Division and movement method of dots. Fig. 4 Division patterns. 2 5 a A B B 4 x A 1 a b B 4 m a n b x A 1 m a n b A B 1/4 5 1/4 3 1

Table 2 Relation of n and rotation angle (, degree) of B -plane at various m-values (0 < 45 ). tan ( /2) m/n (1) Fig. 5 Geometrical patterns at rotation. (a) ; The coordinates when piling up two basic figures are shown. (b) ; The pattern when moving the black dot of the 4th quadrant of B-plane to the point of the 1st quadrant of A-plane that has line symmetry about the X-axis by rotation is shown. Table 1 Relation of n and rotation angle (, degree) of B -plane at various m-values. 1m n Illustrator CS2 m 1 5 n 1 12 1 m n 90 0 1/2 90 1/2 45 0< 45 1 90 90 1 126.87 126.87 90 36.87 1/2 45 1 53.13 45 8.13 36.87 1 0 < 45 2 2 45 45 45 m n 45 23

1/4 6 7 L 2d L 3d L 4d 1/2 45 1/4 8 Fig. 7 Patterns by change of L. (Division, m 1 n 5, 22.62 ) Fig. 8 Patterns by change of rotation angle. (Division, L 3d ) Fig. 6 Patterns by change of division method. (L 3, m 1 n 5, 22.62 ) Fig. 9 Patterns by color change of dots. (Division, L 2d, m 2 n 7, 31.89 )

Table 3 Details of samples. 3 d 3 18 18 L 3d m 1 n 5 22.62 8 11 15 17 L 3d m 1 n 3 36.87 2 9 L 3d m 1 n 10 11.42 10 13 L 3d 45 1 16 L 2d L 3d L 4d m 1 n 5 22.62 L 2d L 3d L 4d 4 L 4d 12 L 2d 15 L 3d m 2 n 7 43.60 6 L 2d m 4 n 11 39.97 7 L 4d L 3d 2 36.87 8 22.62 10 11.42 16 45 L 3d 1 45 9 36.87 13 11.42 17 22.62 L 2d m 2 n 7 31.89 3 14 9 L 3d m 2 n 9 25.06 5 L 4d m 5 n 8 25.99 18 6-9 1 12 4 A4 16 17 1 1 18 1 20 60 0.2 0.4m 18 12 4 SD 5 varimax 60 varimax Table 4 Result of factor analysis (varimax rotation).

4 1.0 3 90.14 1 2 3 10 12 3 1 2 8 10 16 L 4d 4 7 18 L 2d 3 6 12 14 5 14 2 22.62 4 8 12 15 17 31.89 3 14 36.87 2 9 11.42 10 13 39.97 7 45.00 1 16 0 45 3 2 5 8 10 16 3 7 11 14 5 14 15 18 6 13 17 Fig. 10 Factor scores (Factor 1 Factor 2). Fig. 11 Factor scores (Factor 1 Factor 3). Fig. 12 Factor scores (Factor 2 Factor 3). 22.62 31.89 36.87 0 45

L 4d L 2d 1/4 3 22.62 31.89 36.87 1. A. Shinohara, Sen i Gakkaishi, (Sen I to Kogyo), 3, 568 (1970). 2. M. Takatera, A. Shinohara, Sen i Kikai Gakkaishi, 47, 231 (1994). 3. S. Hayashi, T. Kurisawa, T. Hirai, M. Murayama, Sen i Gakkaishi, 44, 517 (1988). 4. S. Hayashi, T. Suzuki, T. Hirai, M. Murayama, Sen i Gakkaishi, 45, 74(1989). 5. S. Hayashi, Sen i Seihin Shohi Kagaku, 32, 233 (1991). 6. K. Kosuge, S. Kobayashi, Sen i Seihin Shohi Kagaku, 31, 427 (1990). 7. Y. Kato, F. Sugiyama, Sen i Seihin Shohi Kagaku, 25, 167 (1984). 8. T. Yoshioka, Sen i Seihin Shohi Kagaku, 31, 250 (1990). 9. N. Kawai, Y. Kato, F. Sugiyama, Sen i Seihin Shohi Kagaku, 24, 492 (1983).