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Updated: May 26, 2026

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Graph theory of tower tasks.

Andreas M Hinz¹

¹Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstraße 39, 80333 München, Germany. hinz@math.lmu.de

Behavioural Neurology

|December 31, 2011

Summary

This summary is machine-generated.

The state graph model effectively represents tower transformation tasks, aiding in problem selection and performance analysis. This graph-based approach also underpins a computerized tool for administering these tasks.

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Last Updated: May 26, 2026

The HoneyComb Paradigm for Research on Collective Human Behavior

The HoneyComb Paradigm for Research on Collective Human Behavior

Published on: January 19, 2019

Area of Science:

Cognitive Science
Graph Theory
Computer Science

Background:

Tower transformation tasks, like the Tower of Hanoi, are standard problems in cognitive psychology.
Analyzing the complexity and solution strategies of these tasks requires a robust mathematical framework.

Purpose of the Study:

To introduce a state graph as the appropriate mathematical model for tower transformation tasks.
To demonstrate how graph theoretical concepts can enhance task selection and performance analysis.
To present the foundation for a computerized testing tool based on this model.

Main Methods:

Modeling tower transformation tasks using state graphs, where nodes represent states (disc/ball positions) and edges represent moves.
Applying graph theoretical quantities (e.g., distance, vertex degrees, symmetries) to analyze task properties.
Developing a computerized tool utilizing the state graph model for task administration.

Main Results:

The state graph accurately models the problem space of tower transformation tasks.
Graph theoretical measures provide objective criteria for selecting and analyzing tasks.
The developed tool facilitates standardized administration and assessment of tower tasks.

Conclusions:

The state graph is a powerful mathematical tool for understanding and managing tower transformation tasks.
This model supports both theoretical analysis and practical application in computerized testing environments.
Future work can extend this model to other complex problem-solving domains.