Journal of Graphic Science of Japan

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　The suitable projection is important for students to misunderstand a drawing. The author has been carrying out the recognition tests to reveal the suitable direction of projection. In the present study, two results of cognizing test carried out in 2002 and 2016 are statistically analyzed to discuss the time dependency on the directivity of the visual recognition. Although the significant differences cannot be recognized between these tests, rather inappreciable differences can be observed especially on the parameterφof the random display test which includes the distribution shapes of the points. These differences may be caused by the reason that the subjects of two tests were not strictly the same and the tests were conducted by using the figures in which parameters θ and φ were chosen by 15° interval. Thus the directivity of the visual recognition is essentially independent of the time of testing. Moreover, normal distribution of the parameter of the figure indicates that the directivity of the visual recognition is dominated by the natural law.

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　We examined which aspect ratios people favor in rectangles. About one thousand participants each in Japan and the West participated in the study. Rectangles with six different aspect ratios— 1, 1.2, 1.41, 1.62, 1.8, and 2—were presented, and the participants chose their favored rectangles. To ensure that the aspect ratios were the deciding factor for the choice of their favored ectangle, four different sets of rectangles with the above-mentioned six aspect ratios were presented. As a result for the West, there was a significant preference for golden rectangles in some sets and some sets where that was not the case. However, although there were some Japanese regions wherein rectangles with the aspect ratio of 1.41(≈√2) were significantly favored over squares; squares were significantly favored in all the four sets of rectangles that were presented in the entire country.

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