In the meantime, I could put on some walkable visceral labyrinths. As a walk through labyrinth without central middle it provides quite new experiences.
It is a new type of labyrinth: An unequivocal way through a labyrinth, not into a labyrinth.
As a name came to my mind also: Tapeworm labyrinth or intestinal labyrinth.
Because it is, however, only the geometrically exact transformation of the figure on the clay tablet VAT 744 of the Vorderasiatisches Museum Berlin, one could also maintain the name chosen by Ernst Friedrich Weidner in 1917 “Berlin Labyrinth”.
Quite unexpectedly has turned out that this special type is a “pair labyrinth”. Since one can go from the beginning side by side on different paths and meets only at one single place with a change of course.
While marking out the labyrinth I have also found out how one should proceed while putting on the labyrinth. The following drawings will explain this clearer.
At first the approximate middle is fixed in point M4 and following the main axis up to the point M5 (9.00 m).
The further salient points are fixed with triangulation measurement from 2 points.
This is here only the point B. With the distance M4-B (8.00 m) and the distance M5-B (5.67 m) point B is marked out.
The exact measurements for a prototype with 1 m dimension between axes are found in the layout drawing below.
Point A lies in the lengthening of the line from point B through M4 by 6.00 m.
Then one fixes the midpoints M1, M3 and M2 along this line. Maybe also the beginning or end points of the arcs with a distance of 1 m.
The first four semicircles 1 – 4 have M1 as midpoint and are drawn with the radii 1 m, 2 m, 3 m, 4m.
The different arcs, midpoints and numbers are shown colourfully differently.
Around M2 there is only one semicircle (radius 1 m). This is at the same time the “secret” middle with the sickle-shaped left blank figure.
Around M3 there are three semicircles (with the radii 5 m, 6 m, 7 m). Here don’t let you confuse by the design of the curves. Since they begin or end together with other curves. Thus the sickle-shaped “fontanel” is also generated.
To this see Fig. 3.
Then around M4 one pulls six semicircles 1 – 6 (beginning with radius 1 m, further to radius 6 m) in the left lower part up to the sloping line.
The both curves 7 and 8 with the radii 7 m and 8 m are only drawn up to the vertical between M4 and M5.
Around M5 are the three quarter circles 1 – 3 to pull (radius 1 m to radius 3 m) for the input area.
To this see Fig. 5.
All lines (the boundary lines) of the labyrinth are to be seen in Fig. 6. The actual way through the labyrinth is the free area between these lines.
The following layout drawing is a sort of prototype with the dimension between axes of 1 m for the distance from line to line. This corresponds to a path width of 1 m. The remaining measurements arise from this definition and the design of the labyrinth.
The construction is scaleable. This means, all the other desired path widths can be derived from it.
The following photos show the labyrinth with a path width of 50 cm. All measurements were multiplied by the factor 0.5 to build them.
If e.g., a path width of 60 cm is wished, one takes the factor 0.6. All other measurements of the drawing are to be calculated with this factor, so also the path length, the line length, the main dimensions, the radii, the sloping distances of the midpoints etc.
Two examples for a path width of 50 cm:
The worldwide first labyrinth of this kind on grass in the garden of the co-founder of the TLS Gundula Thormaehlen Friedman in Bad Kreuznach (Germany).
The second one on the pavement of the parking place in front of our home in Würzburg (Germany).
Here the layout drawing as a PDF file to watch/print/copy/save (for non commercial uses only) …