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## A “Form-Fitting” Knidos Labyrinth

Sometimes you will get a diamond-shaped, empty element in the middle part of a Knidos labyrinth which is formed normally by a cross. This happens when all the paths have the same width and the walls are aligned to them. This form arises because the four turning points form a square.
A shift of the rhomb may also result if one brings into line the entrance axis (of the path into the labyrinth) and the entry axis into the center of the labyrinth with the main axis of the labyrinth figure. In the “twisted labyrinth” I have demonstrated this already once (see related posts below).

If one wants to give a certain shape to this “empty form”, one can play with the position of the turning points. I have done this to get the “form-fitting” labyrinth. All elements are arcs, however, the four turning points do not lie any more in a square.

The suggestion for this labyrinth dates to the logo sketched by the Swiss artist Agnes Barmettler with the woman in the labyrinth for the public women’s places.

The logo for the public women’s places

Such a labyrinth can be drawn nicely, but is hard to build, above all as a big labyrinth. Hence, I have tried to develop the shape for this labyrinth with geometrical elements only. Some imagination is asked of course. Anyway, the “empty space” offers creative leeway.

The “form-fitting” Knidos Labyrinth

The following layout drawing for a sort of prototype shows the geometrical qualities in detail.

Who looks accurately and compares to the original Knidos labyrinth, recognises that one segment less arises. The turning point below on the right is laid in the lengthening of the line from the midpoint of the center and the upper right turning point. The usually narrow “cake piece” is thereby lost in this area.

The drawing

Who would like to build such a labyrinth, is invited warmly to it. The drawing contains all that is neccessary. Indeed, one can also use other parametres, because the labyrinth is scaleable. The underlying values are based on the dimension between axes of 1 m. This means that all details changes proportionally (are reduced or extended). If one wants, e.g., a half as big labyrinth, one multiplies all measures by 0.5. One can even proceed in such a way with “crooked” numbers to get the desired result.

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