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Updated: May 31, 2026
06:35
Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
Published on: February 15, 2016
[Goodness of compound patterns based on symmetry groups]
Jiro Hamada1, Chigusa Uchiumi, Kohji Fukushi
1Division of Psychology and Health, Institute of Socio-Arts and Sciences, University of Tokushima, Minami-Josanjima, Tokusima 770-8502, Japan. hamada@ias.tokushima-u.ac.jp
Shinrigaku Kenkyu : the Japanese Journal of Psychology
|June 29, 2011
Summary
This study found that pattern goodness increases with more transformations, supporting ordinal agreement and order conservation hypotheses. Pattern complexity and circle type did not significantly impact ratings.
Area of Science:
- Cognitive Psychology
- Visual Perception
- Pattern Recognition
Context:
- Investigates Imai's (1986) ordinal agreement and order conservation hypotheses.
- Examines how symmetry and transformations influence perceived pattern goodness.
- Utilizes compound patterns composed of dots and circles with varying symmetry groups.
Purpose:
- To test whether pattern goodness ratings align with the number of invariant transformations.
- To determine if pattern complexity (dot count) and element type (solid/open circles) affect perceived goodness.
- To validate Imai's hypotheses regarding pattern perception and symmetry.
Summary:
- 144 undergraduates rated 21-dot compound patterns (8-dot and 13-dot figures) invariant under rotation and reflection (Cn, Dn groups).
- No significant differences were found based on solid vs. open circles.
- Poorer ratings for C1 compound patterns overlapped with 8-dot figures; ratings increased with transformations (supporting ordinal agreement) and order was conserved (supporting order conservation).
Impact:
- Provides empirical support for theories linking pattern goodness to symmetry and invariance.
- Suggests that the number of transformations and order conservation are key factors in visual pattern evaluation.
- Informs understanding of aesthetic principles in visual design and pattern recognition.
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