University of Twente Student Theses


Triangular patterns in groups of moving individuals

Heerink, W.J. (2022) Triangular patterns in groups of moving individuals.

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Abstract:In this paper we discuss an exercise in systemic therapy. In a group of people, each person chooses two others to form an equilateral triangle with. Then, everyone starts moving to reach this goal. A stable state is defined as a state in which no persons are moving anymore. The research question is "Given initial conditions, does the system converge to a stable state?". We find that systems with a specific structure are stable and we find that out of sixty possible configurations with four people, fifty-five are stable.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics BSc (56965)
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