Studies on moire patterns of dot lines. (Part 4). Geometrical patterns formed by superposing the same two figures of dots arranged on intersections of hexagonal fretworks.
Sadao Hayashi, Masaru Kobayashi, Takashi Suzuki, Toshihiro Hirai, Morio Murayama · Sen i Gakkaishi · 1989
The geometrical moiré patterns formed by superposing two figures of dots arranged at points of intersections of hexagonal fretworks have been investigated by using a personal computer. It was proved that numerous beautiful geometrical patterns were obtained by changing a rotation angle between the two figures, and some patterns were influenced by the selection of an original point for a rotation. When the original point was taken on a dot (o), the appearance period of patterns was 120° in the regular hexagonal arrangement system of dots (RH-system), and was 360° in the hexagonal arrangement system of dots (H-system). On the other hand, when the original point was taken at the center of arrangement dots (s), the appearance period of patterns was 60° in the RH-system, and was 180° in the H-system. The patterns at the original point s contain, besides the patterns at the original point s, many patterns different from those at the original point s, the number of which was the same as those at the original point s in the RH-system, and was one quarters of the total number in the H-system. In conclusion, it is very good technique for getting more patterns to select the original point with the longest appearance period of patterns.