対称性認知の3階層直列処理モデルによる要素パターンに対するバラバラ性の検討

Rotational and reflectional transformations were applied to dot patterns in a square grid generating cyclic (Cn) and dihedral (Dn) groups (n = 1, 2, 4). Judgments of disjointedness (the inverse of unifiedness) of 8-, 13- and 21-dot patterns were compared with poorness (the inverse of goodness) and complexity (the inverse of simplicity) judgments. Results found were (a) disjointedness and complexity of 8-dot D2 linear patterns decreased by an anisotropic spatial filter, (b) three cognitive judgments for the patterns other than the linear patterns monotonically decreased as a function of group order, (c) disjointedness of C2n and Dn (n = 1, 2) were indistinguishable and were processed in a former-stage of group theoretical model, and poorness and complexity were distinguished in C2n and Dn while being processed in a latter-stage, (d) complexity increased monotonically as the number of dots increased. While 13- and 21-dot patterns results were insignificant, disjointedness judgments were lowest in 8-dot patterns, and influence of poorness was ineffectual. We have proposed a three-stage serial processing model of symmetry cognition.