In the last post I have introduced the three crossing labyrinths by Dom Nicolas de Rély (see: related posts 1, below). Here, I want to have a closer look at the labyrinth Rély 2. At first glance it looks like a labyrinth with 8 axes and 15 circuits. The main axis points to the right.
For a further analysis, I have rotated the labyrinth such that the main axis is oriented downwards (fig. 2). By shifting two turns of the pathway in the upper right quadrant and one turn of the pathway in the lower right quadrant the number of axes can be reduced from 8 to 6. For this, I assume that if turns of the pathway can be aligned to each other, they will be aligned. Thus, the labyrinth can be drawn with the minimal number of axes needed.
The pathway of Rély 2 crosses the main axis from the 7th to the 12th circuit, as is indicated with the piece of the Ariadne’s Thread drawn in red.
In addition, the labyrinth contains one complete innermost 15th circuit (similarly drawn in red). From this circuit the pathway is the directed to the center.
The labyrinth even shows one more particularity, that I have overlooked so far. On entering the labyrinth, the pathway turns to the fifth cirucit. However, it also continues straightforward into a dead-end on the 6th circuit, highlighted with a red cross.
In figure 3 I show the pattern of the labyrinth adjusted to 6 axes. (Re. patterns of crossing labyrinths see also: related posts 3).
Rély 2, thus, is an uninteresting labyrinth. The innermost circuit can be omitted without loss. But even if this circuit is dropped, we still obtain a labyrinth of little interest. The pathway would then again be directed from the innermost (14th) circuit to the center.
The entire labyrinth looks not really well constructed. This becomes clear especially in the original version with 8 axes, in which the turns of the pathway are distributed quite arbitrarily.
Rély 2 is not the only labyrinth showing an unnecessary high number of axes. I have already introduced one specially prominent example on this blog, the „complicated labyrinth“ by Sigmund Gossembrot (related posts 2). Whereas the intention of Gossembrot probably was to cause confusion and uncertainty and to transform the Chartres type labyrinth into a maze, it seems to me that the intention of Rély was to bring about especially complex labyrinths with multiple axes.