A new Generation of Sector Labyrinths

There are eight possibilities for a one arm 5 circuit labyrinth (see Related Posts below).

The structure of the different labyrinths can be expressed through the path sequence. Here is a list:

  1.  3-2-1-4-5
  2.  5-4-1-2-3
  3.  5-2-3-4-1
  4.  1-4-3-2-5
  5.  3-4-5-2-1
  6.  1-2-5-4-3
  7.  1-2-3-4-5
  8.  5-4-3-2-1

The sector labyrinth presented in my last post (see Related Posts below) has a different path sequence in all 4 quadrants. In other words, there are 4 different labyrinths hidden in it. These were the path sequences in the 1st to the 4th line of the list above.


Today another 5 circuit sector labyrinth modeled with Gossembrot’s double barrier technique:

A new 5 circuit sector labyrinth in concentric style

A new 5 circuit sector labyrinth in concentric style

The path sequence in quadrant I is: 3-4-5-2-1, in quadrant IV: 1-2-5-4-3. These are the aforementioned courses at the 5th and 6th place. The two upper quadrants have: 1-4-3-2-5 and 5-2-3-4-1. These correspond to the upper pathways at the 4th and 3rd places. Not surprising, because the transition in these sector labyrinths takes place either on the 1st or the 5th course.

Here in a representation that we know from the Roman labyrinths:

The new sector labyrinth in square shape

The new sector labyrinth in square shape

Or here in Knidos style:

The new sector labyrinth in Knidos style

The new sector labyrinth in Knidos style

On Wikimedia Commons I found this picture of Mark Wallinger’s unique Labyrinth installation at Northwood Hills station, installed as part of a network-wide art project marking 150 years of the London Underground. It is part of the emboss family (one of the 11 labyrinth design families).

Mark Wallinger Labyrinth 10/270, Photo: credit © Jack Gordon

Mark Wallinger Labyrinth 10/270, Photo: credit © Jack Gordon

This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.


Now only two path sequences are missing, then we would have the eight complete.
There is also a new sector labyrinth for this:

Another new sector labyrinth in concentric style

Another new sector labyrinth in concentric style

In the two lower quadrants we have the courses 1-2-3-4-5 and 5-4-3-2-1. These are the above mentioned pathway sequences at the the 7th and 8th places. The upper two sequences (5-2-3-4-1 and 1-4-3-2-5) are again identical to the aforementioned two labyrinths and the one in the previous post.

The quadratic representation shows that it is actually a mixture of serpentine type and meander type (see Related Posts below).

The new sector labyrinth in Roman Style

The new sector labyrinth in Roman Style

Here in Knidos style:

The new sector labyrinth in Knidos style

The new sector labyrinth in Knidos style

Simply put, in only three sector labyrinths can all theoretically possible eight 5 circuit labyrinths be proved.


But it is also possible to move the “upper” pathways down, so that again arise new display options.
Then you can swap the right and left “lower” quadrants.
Or mirror everything and create right-handed labyrinths.

Here are two examples:

Even one more new sector labyrinth in round shape

Even one more new sector labyrinth in round shape

Another new sector labyrinth in Knidos style

Another new sector labyrinth in Knidos style

Related Posts

A new type of Sector Labyrinth inspired by Gossembrot

I was particularly fascinated by the technique of double barriers in Gossembrot’s 7 circuit labyrinths presented in recent posts. This makes possible completely new types of labyrinths. He probably did not “invent” the double barriers, but he was the first to consistently and systematically use them.

How does this technique affect 5 circuit labyrinths?
I tried that and came across a whole new kind of sector labyrinths.
As you know, one sector after another is traversed in these before the center is reached.

The historical Roman labyrinths are divided into three different variants: the meander type, the spiral type and the serpentine type (see the Related Posts below).
The entry into the labyrinth is usually up to the innermost lane. And in all four sectors the structures are the same.
The change to the next sector either always takes place outside or even once inside (or alternately).

Now the new type:

The new sector labyrinth in concentric style

The new sector labyrinth in concentric style

What is so special about that?
Already the entrance: It takes place on the 3rd lane. This does not occur in any historical sector labyrinth. And the entrance into the center is also from the 3rd lane.

Then the structure expressed by the path sequence is different in each quadrant.

Quadrant I:   3-2-1-4-5
Quadrant II:  5-2-3-4-1
Quadrant III: 1-4-3-2-5
Quadrant IV: 5-4-1-2-3

The transitions to the next sector are always alternately.

Nevertheless, the new labyrinth is very balanced and mirror-symmetrical.

Here in a square shape:

The new sector labyrinth in square shape

The new sector labyrinth in square shape

This makes it easier to compare with the previously known Roman labyrinths (see below), which are mostly square.

The difference to these becomes clear especially in the presentation as a diagram. Because this shows the inner structure, the pattern.

The diagram for the new sector labyrinth

The diagram for the new sector labyrinth

Very nice to see are the nested meanders.

But even in Knidos style, this type is doing well:

The new sector labyrinth in Knidos style

The new sector labyrinth in Knidos style

How should one call this type? And who builds one as a walkable labyrinth?

Related Posts

The Labyrinth at the Church Maria im Grünen Tal at Retzbach (Germany)

This labyrinth exists since 2014. I still have written about a visit of the health garden containing it in my personal Blog (see Further Link below). Today we will look at the labyrinth itself.

Thus is the plan:

The Roman labyrinth

The Roman labyrinth

It is a serpentine-type Roman labyrinth with four sectors. The whole diameter amounts to 15 m, the middle has a diameter of 1.40 m. The ways are 40 cm wide and paved with granite stones. They are separated of each other by a 50-cm-wide grass verge. The whole way through the 7 circuits in the 4 sectors to the center amounts to about 182 m. The entrance of the labyrinth lies on the right beside the main axis. The dividing stripes of the single quadrants lie on a cross.

Some photographic impressions:

There are two videos on YouTube, here the first one:

And here the second:

In the meantime, I have considered what one could have made better in a “labyrinth-technically” way. Since the idea in itself of a Roman labyrinth in the middle of the health garden seems not to be so good realized.

The last piece of the path arriving the center should always lie on the central main axis. If one makes the middle a little bigger, one receives above all longer and steadier path segments around the middle. If one wants to reach this and maintain the whole diameter of 15 m, one can make the paths and the dividing stripes each 40 cm broad. Then the center would have a diameter of 3.2 m.
One could have built a better Labyrinth at the same place and with the same costs.

Here the layout drawing:

The layout drawing

The layout drawing

Related Post

Further Link (in German)

The Epprechtstein Labyrinth in the Fichtelgebirge (Germany)

Finally, I got around to visiting this unusual labyrinth from granite ashlars in the Fichtelgebirge.

You may reach it over the street from Kleinschloppen to Kirchenlamitz. There is a parking place opposite the restaurant Waldschmiede in the district Buchholz and directly behind it lies the labyrinth.

Willi Seiler from Wunsiedel, a former professional schoolteacher in the technical school for stone processing in Wunsiedel had the idea of the labyrinth. The construction works were carried out after the plans of architect Peter Kuchenreuther from Marktredwitz in 2009.

The labyrinth is from type Roman sector labyrinth with a meander in every quadrant and has 5 circuits. It is put on squarely and has the dimensions 34 x 34 m. The middle is a square of 6 m sides length with a 5-m-high obelisk, where Hermann Kern’s famous words: “In the labyrinth you will not get lost. In the labyrinth you will find yourself. In the labyrinth you will not meet the Minotaurus. In the labyrinth you will meet yourself.” are chiseled.

The ways and the granite bolders are each about 1.20 m wide. The higher ashlars in the middle and around are about 1.20 m high, the smaller ones inside from 60 to 80 cm. In every quadrant there is a small loophole to leave the way which amounts to 400 m after all. The middle contains the obelisk, some wooden benches and the ground is covered with a paved labyrinth showing the paths enlargedin black stones as it were a negative of the “big” labyrinth.

The layout

The layout

The middle enlarged:

The middle

The middle

Behind the labyrinth a small hill is raised from which one can overlook the whole area. Several boards of information to the geology, fauna, granite quarrying in the Fichtelgebirge among other things as well as to the idea of the labyrinth are put up on the site.

Information board

Information board

 

Service station for spirit and soul

Service station for spirit and soul

Service station for spirit and soul

Labyrinths still are in the world since millenniums in the most different forms. After Ancient Greek myth the first labyrinth was built by Dädalos for king Minos on Crete as a prison for the Minotauros. In the antiquity it is often shown as a square built by windings of meanders. The Christians pervaded this ancient motive with new sense. In many old churches labyrinths drawn on the ground with black and white stones show with their unpredictable bends the human life with all its scrutinies, delays and complications, while in the middle, the aim, waits heavenly Jerusalem.

The labyrinth is always purposeful and not a maze, how frequently is falsely presumed.

„The construction plan of the labyrinth is conceivably simple. It has an entrance and a way which leads in numerous bends to a middle. One can go through it fast without having found out something. Then the way through the labyrinth is not more than just a leisure activity or a sportive act. Who crosses, however, the way with a spiritual feeling, who embarks on a journey consciously and with alert soul, will attain a place of self-encounter and self-discovery.“ Uwe Wolff

Related Posts

Further Links