GeoGebra to create aMaze-ing experiences
- Author:
- Eva 3D
Mathematical Mazes
Labyrinths and mazes are usually created based on mathematical principles e.g. geometries and can be created using algorithmic rules.
There are multiple types of maze designs, such as with more or less circuits, single or multiple groups of twists and turns, and four axes of symmetry. Previous research indicates that working with the creation of labyrinths and mazes can contain many opportunities to experience computational thinking, combinatorics, reasoning and to explore results of geometrical operations (Thompson and Cheng, 2015).
It can be educational to experience various geometrical features such as mirroring, rotations, multiplications of a feature, and scaling in two dimensions. However, the dimension of a challenge such as solving a maze can also be added to the experience (Fenyvesi, Jablan and Radovic 2013).
Thompson D and Cheng D (2015) Square Seeds and Round Paths: Exploring Patterns within the Art of Classical Labyrinths. In: Bridges 2015 proceedings: Mathematics, Music, Art, Architecture, Culture, Phoenix, USA, 2015, pp. 555–548. http://archive.bridgesmathart.org/2015/bridges2015-555.html.
Fenyvesi K, Jablan S and Radovic L (2013) Following the Footsteps of Daedalus: Labyrinth Studies Meets Visual Mathematics. In: Bridges 2013 proceedings, Enschede, The Netherlands, pp 361-484. http://archive.bridgesmathart.org/2013/bridges2013-361.pdf