How to Make an Aligned Wunderkreis

I have already explained the principle some years ago. In the meantime I have gained some knowledge about it, so that I can once again present a proposal for a construction method. This applies to both the drawing and a stakeout on site using simple surveying tools.

I present a prototype based on an axial dimension of one meter. This allows the Wunderkreis to be scaled to any desired scale.

We start with a basic framework with the definition of an axis, on which the input axis is to be placed here. That would be the line E-C. It runs centrally between the midpoints M3 and M4.
After defining the points A, E and B, the center point M3 can be defined by arcs. And from there, the other centers M2, M1 and M4 can be determined.

Note for experienced surveyors:
Right-angled (Cartesian) coordinates can be determined from the horizontal and vertical dimension chains. With appropriate measuring instruments, the most important main points can then also be polar staked out.

However, the radii themselves are best marked out with a line, wire or tape measure and marked with spray paint, sawdust or bark mulch.

Wunderkreis: construction elements
Wunderkreis: construction elements

It makes sense to mark out the upper semicircles (shown here in gray) around the center point M4. Then the four semicircles around the center point M3, as well as the left (5) and right (7) arc pieces (shown in green). The semicircles (drawn in gray) around the centers M1 and M2 form the final part.

Wunderkreis: radii
Wunderkreis: radii

Depending on the design of the boundary lines (according to the width) the Wunderkreis looks like. Shortly after entering the entrance below there is a branch. If one goes to the left, one walks first through the outer circuits. After passing through the inner double spiral, one gets back to the beginning.

We have a so-called walk-through or procession labyrinth before us. There is no strictly defined center.

Ariadne's Thread inside the Wunderkreis
Ariadne’s Thread inside the Wunderkreis

The following drawing once again shows all the necessary construction elements and the corresponding lines for the walls and the path (in red, Ariadne’s thread).

Layout drawing of the Wunderkreis
Layout drawing of the Wunderkreis

Here is the drawing as a PDF file for printing, saving or viewing.

Related Post

The Two Seed Patterns of the Labyrinth

After you have seen several times the different seed patterns in the labyrinth, now a common consideration should follow: There is the seed pattern for the walls (limiting lines) and the seed pattern for the path, the so-called Ariadne’s thread.

While I tried to build a geometrically exact labyrinth from the different patterns, it has struck me that both seed patterns are not so different at all. And thus I would like to show both together.

Here first the square which four sides are divided into eight constant parts. In a drawing one can take squared paper and make every side 4 cm long. In  reality this would be four metres and the drawing would be on a scale of 1:100.

The scaled square

The scaled square

The mark and name of the different points already states something about the later use within the construction. “A” is the starting point; “Z” the goal or the centre, at the same time, however, also a centre of different arcs. Hence, marked with a bigger symbol of a circle. As well as the four corner points M1 to M4, also centres of arcs. And at same time delimiters for the walls.
The path axes (Ariadne’s thread) are marked with a small cross and are numbered from 1 to 7. In between are the walls which are marked with small circles.

The angular seed pattern for the walls

The angular seed pattern for the walls

Here the well-known seed pattern with the isosceles cross, the four angles and the four dots.

The round seed pattern for the walls

The round seed pattern for the walls

However, the lines must not be angular, they can also be rounded and then the pattern looks like above.

The seed pattern for Ariadne's thread

The seed pattern for Ariadne's thread

The seed pattern for Ariadne’s thread looks in the limiting square like on top.

The two seed patterns in the square

The two seed patterns in the square

If both patterns are shown together, one recognises the relationship and resemblance between them. And also that the centres of the different arcs are same. No surprise, because the lines are parallel and the red thread is, finally, the middle between the black boundary lines, so to speak the path axis.

Afterwards I would like to point out which arcs are constructed from a total of five centres. There are quarter circles and semicircles which run in each case in different sectors. The order is as you like, since basically it makes no difference which curve is drawn or constructed first. This arises by itself, if one applies the principle for the drawing of a labyrinth properly. As it was described in the older posts on this blog.

Tip: The following, as well as all remaining drawings, can be clicked to enlarge. Then a new window is opened.

The centre M1 top left

The centre M1 top left

The centre M2 bottom left

The centre M2 bottom left

The centre M3 bottom right

The centre M3 bottom right

The centre M4 top right

The centre M4 top right

The centre Z on top

The centre Z on top

The classical seven circuit labyrinth

The classical seven circuit labyrinth

Here the finished labyrinth with the walls in black and Ariadne’s thread in red. It is a classical seven circuit, left handed labyrinth.

Prototype

Prototype

 

If you would like to build such a labyrinth, you will find all specifications and all radii in this design drawing on a scale of 1:100. It is a sort of prototype for a dimension between axes of  1 m and scalable.