Classical labyrinths, as their names suggest, have remained unaltered in their geometric make up for hundreds if not thousands of years. I recently became interested in the construction of these mazes and how they relate to mathematics. However, I was surprised to see so few variations on what might me termed the classical labyrinth. To address this here are a number of different modes of construction. First the 4-fold construction;
And here with 5, 6 and 7-fold construction;
Next we have 8-fold labyrinth together with a hyper-dimensional theory of light (how did that get in there?). Notice how the 4, 5, 6, and 8-fold labyrinths all have but one centre while the 7-fold labyrinth has three, making it a far more difficult labyrinth to solve.
Finally there are what I refer to as hyperbolic labyrinths, which are really just the same things stretched in perspective.
Do all n-fold labyrinths with prime numbers above 7 exhibit this multi-centred symmetry, or is it just 7? Post your answers below.
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