Solving Geometric Proportional Analogies with the Analogy Model HDTP

Abstract

Intelligence tests often use geometric proportional analogies to examine the intelligence quotient of humans. Completing such a series of geometric figures can be a cognitively demanding task, because the solution requires a suitable conceptualization of the geometric figures. Furthermore, there might exist several, equally correct solutions depending on the conceptualization. In this paper, we demonstrate how the symbolic analogy model HDTP solves such analogies: HDTP uses Gestalt principles and qualitative spatial reasoning to compute a psychologically preferred representation of the figures, adapts these representations if necessary, and constructs a solution based on an analogical mapping.


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