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The theme of this blog is the labyrinth in almost all aspects. It has been around since 2008. Since 2012 Andreas Frei from Switzerland is part of it. About once a month a new post should appear.

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Rély 2

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. 

Figure 1. Rély 2
Figure 1. Rély 2

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. 

Figure 2. Analysis
Figure 2. Analysis

In figure 3 I show the pattern of the labyrinth adjusted to 6 axes. (Re. patterns of crossing labyrinths see also: related posts 3).

Figure
Figure 3. Pattern

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. 

Related Posts:

  1. The Crossing Labyrinths by Dom Nicolas de Rély
  2. Sigmund Gossembrot / 6
  3. The Pattern in Non-alternating Labyrinths

Reflections on the Wunderkreis, 3

Where are now the so far publicly known Wunderkreise to be classified?

Among them are the Russian Babylons on the Solovetsky Islands in the White Sea.
In idealized form one could represent them, as follows:

Type 7 a-c
Type 7 a-c

The double spiral looks different in the locality, of course, but in principle it corresponds to this type. The path sequence is 0-5-2-3-4-1-6-a1-b2-c1-c2-b1-a2-7-0. And vice versa: 0-7-a2-b1-c2-c1-b2-a1-6-1-4-3-2-5-0. That would be again the basic labyrinth and the transpose.
In total we have 10 circuits: 7 “labyrinthine” and 3 for the double spiral. This replaces the center and the three following circuits of the classical labyrinth with its 11 circuits. That is why this Wunderkreis is so similar to the classical labyrinth. It has developed probably also from this.


Next in line would be the Wunderkreis of Kaufbeuren, restored in 2002.
It corresponds to this type:

Type 9 a-c
Type 9 a-c

The path sequence (first to the left): 0-7-2-5-4-3-6-1-8-a1-b2-c1-c2-b1-a2-9-0.
The path sequence (to the right): 0-9-a2-b1-c2-c1-b2-a1-8-1-6-3-4-5-2-7-0.
It has more circuits than the Babylons. In historical drawings there were even more. Thus it should be clear that it is a further development of the labyrinth created from the basic pattern.


A little more is known about the next labyrinth: The Zeiden Wunderkreis.

Type 7 a-f
Type 7 a-f

The path sequence (first to the right): 0-5-2-3-4-1-6-a1-b2-c1-d2-e1-f2-f1-e2-d1-c2-b1-a2-7-0.
The path sequence (to the left): 0-7-a2-b1-c2-d1-e2-f1-f2-e1-d2-c1-b2-a1-6-1-4-3-2-5-0.

The Transylvanian Saxons hold their traditions high and maintain them even nowadays. The neighborhood of Zeiden organizes its home meeting in Dinkelsbühl and every three years there is a march into the Wunderkreis to the sounds of the Kipfelmarsch.
This year, after the Corona break, there was again a Wunderkreis on 2022, June 18. in Dinkelsbühl. Unfortunately I could not be there. Here a report with photos (in German) of the Zeiden neighbourhood themselves. Even more pictures here.

This Wunderkreis has no branching, but separate paths for input and output. Compared to the previous examples, this type is also mirror symmetrical.
The Zeidner choose the right path (5) as entrance. So they also walk the labyrinthine, outer circuits first.
At the temporary Wunderkreis in Dinkelsbühl also always the line is drawn on which one walks. Thus Ariadne’s thread.


Now we come to the Wunderkreis of Eberswalde. It is one of the historical German labyrinths.
The first one was created in 1609 on the Hausberg, which unfortunately disappeared in the 19th century.

In 1855 there was the second Wunderkreis near the gymnasium on the square at Kniebusch, but it also disappeared in 1910.

Here is an old drawing of the Wunderkreis, probably from that time.

For my schematic drawing, I used a 2009 mintage as a guide, which shows the first Wunderkreis. This is essentially true for the number of circuits.

Type 11 a-e
Type 11 a-e

The sequence of operations (first to the left): 0-9-2-7-4-5-6-3-8-1-10-a1-b2-c1-d2-e1-e2-d1-c2-b1-a2-11-0.
The walk sequence (to the right): 0-11-a2-b1-c2-d1-e2-e1-d2-c1-b2-a1-10-1-8-3-6-5-4-7-2-9-0.

Since 2012 there is again a Wunderkreis in Eberswalde. However, in a different place than the original and also in a simplified form with fewer circuits.

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