Voronoi-Game

Task: Assemble the cone puzzle so that the cones fit exactly together

Materials: Voronoi Cone Pieces

A group develops from 3 to 6 cones in the GeoGebra.
The group presents this cone puzzle to another group and investigates whether they can solve the following tasks: 

On one side of a mountain stands a hiker, and on the other is an inn.

• On which path, now assembled as a puzzle, does the hiker have to travel the fewest vertical meters?
• What is the shortest path from the top?
• Which path does he have to take the fewest turns to avoid getting lost?

The two groups reflect on whether the assembled puzzle was intended this way.

1. If yes, the paths are discussed - are there any differences between the mathematically evaluable solution with, for example, a Dijkstra algorithm? How did the children come to the solutions of the paths?
2. If no, the children discuss what differences in the paths would have resulted from the different assembly methods and whether anything particularly surprised them/noticed them.

Age group: Primary; Secondary

Skills: Creativity; problem-solving; 3d design

Knowledge: Voronoi diagrams; Graphs; Algorithms

Software: GeoGebra

Link to the GeoGebra resource

Created by Linz STEAM Education Research Group - Johannes Kepler University

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