# Solving Geometric Proportional Analogies with the Analogy Model HDTP

- Angela Schwering,
*University of Osnabrueck*
- Helmar Gust,
*University of Osnabrueck*
- Kai-Uwe Kühnberger,
*University of Osnabrueck*
- Ulf Krumnack,
*University of Osnabrueck*

## 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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