I had the idea for such a bracelet for a long time. It came to me when I was working on the pattern for the labyrinth. The diagram representation (see related articles below) is ideally suited for this. I could well imagine stretching the ring-shaped arrangement and then placing the beginning and end of the ribbon together again. To do this, only the middle part had to be elongated. I then tried to make some paper models. I also thought about the closure. You can see this in the templates shown below. The beginning and the end of Ariadne’s thread should almost touch each other again.
In particular, self-dual labyrinths seem particularly well suited to this. Because it doesn’t matter on which side of the belt (whether above or below) you see the entrance to the labyrinth or the entrance to the center.
Then over the years I tried to bring these ideas to other labyrinth enthusiasts or to find a jeweler. But I wasn’t really successful.
That’s why I’m practically releasing this idea here. Hoping someone will find a workable implementation. The design could look very different. The principle should only be to regard the Ariadne thread itself as a form-giving element.
Here are some templates. The correct length has to be determined for the respective arm. The material also plays a role, of course. Likewise, the question of how to design the closure.
Of course, it would be most beautiful if the Ariadne thread could carry itself. But that depends a lot on the thickness of the wire. And also whether everything stays in place or needs a support or some kind of cross connection. Perhaps one should also apply the Ariadne thread to a base? Or maybe emboss or punch?
I once had a jeweler make a copy out of silver wire for me. But I’m not at all satisfied with the result.
But maybe there are now creative minds who can do it better? I would be glad.
Today I want to give some more information on the New Year’s Labyrinth of this year. In the caption of the figure, I had indicated that it has 6 axes, 7 circuits and symmetrically arranged single barriers, double barriers and a triple barrier and characterized it as self-transpose (see related posts 1, below). Here I want to explain more in detail what that means.
Figure 1 shows the pattern of the New Year’s Labyrinth. The axes are numbered. The main axis that is represented on both sides in the pattern, bears number 6. This is not a sector labyrinth. It is made up of two similar halves that are mirrored at the 3rd axis. One could also see in this two superordinated sectors that are composed of 3 segments each.
In fig. 2 the transpose pattern is derived from the pattern (a). For this purpose, first, the pattern has to be mirrored horizontally (against the vertical dashed red line). This results in pattern (b). Mirroring of the pattern interrupts the connections to the exterior (triangle) and to the center (bullet point). The connection lines (grey) point to the wrong direction. In order to reconstruct these connections after the mirroring, second, these two connection lines have to be flipped as indicated with the red arrows. As a result, we obtain in (c) the transpose of pattern (a). What is special in the New Year’s Labyrinth is, that its transpose is the same. Therefore, this labyrinth is referred to as self-transpose.
With its six axes, this labyrinth is well suited for a transformation into the Flower-of-Life style (related posts 2). For this, the Ariadne’s Thread is used, as shown in figure 3.
The labyrinth on folio 51 r is Gossembrot’s most important one. It is the earliest preserved example of a five-arm labyrinth at all. It’s course of the pathway using double barriers in all side-arms is unprecedented (see: related posts 1, below). However, it is not self-dual. Therefore, it can be expected that there exist three relatives of it (related posts 4).
I term as relatives of an (original) labyrinth the dual, complementary, and dual-complementary labyrinths of it (related posts 2 and 3). In fig. 1 the patterns of the Gossembrot 51 r-type labyrinth (a, original), the dual (b), the complementary (c), and the dual-complementary (d) of it are presented.
Figure 1. Patterns of the Relatives of Type Gossembrot 51 r
Figure 2 shows the labyrinths corresponding to the patterns in their basic form with the walls delimiting the pathway on concentric layout and in clockwise rotation.
Figure 2. The Relatives of Type Gossembrot 51 r in the Basic Form
These four related labyrinths all look quite similar. To me it seems, the dual (b) and the complementary (c) look somewhat less balanced than the original (a) and the dual-complementary (d). Presently, I am not aware of any existing examples of a relative to the Gossembrot 51 r-type labyrinth.
By rotating or mirroring one will get dual and complementary labyrinths of existing labyrinths. Or differently expressed: Other, new labyrinths can be thereby be generated.
So I have three more new labyrinths as I can make a complementary one from a new dual labyrinth and I can make a dual one from a new complementary, which are identical. (For more see the Related Posts below).
Seen from this angle I have examined the still introduced 21 Babylonian Visceral Labyrinths in Knidos style and present here the variations most interesting for me. Since not each of the possible dual or complementary examples seems noteworthy.
Many, above all complementary ones, would begin on the first circuit and lead to the center on the last, which is yet undesirable.
VAT 984_6, dual
VAN 9447_7, dual
E 3384 r_7, dual
E 3384 r_8, dual
E 3384 v_6, red.
E 3384 r_8, compl+red
Leaving out trivial circuits also will generate new labyrinths. This applies to the last two ones. If you compare the first and the last example you see two remarkable labyrinths: The first with 12 circuits and the last with 8 circuits, but using the same pattern.