Here are detailed step-by-step drawing instructions for the construction of a geometrically-mathematically correct labyrinth.
The specifications are as follows: The unit of measurement for the distance between the lines in the axis is 1 m. The diameter of the center should be four times this distance, hence 4 m. The entrance to the labyrinth and the center are aligned with the central axis.
Details on the Knidos style can be found in this article.
Figure 1: First, the center point M1 of the labyrinth is determined. Starting from here, the main axis (vertical line) to the entrance of the labyrinth below is drawn. Then a parallel line is drawn as an auxiliary line at a distance of 1.50 m and an auxiliary circle with a radius of 3 m is drawn in M1. Using an arc, the midpoint M2 is then constructed at the intersection of these auxiliary lines on the right side below.
Figure 2: The midpoint M3 is constructed by cutting two radii with a radius of 4 m around M1 and M2 to the left of the central main axis.
Figure 3: First the straight lines M1-M2 and M1-M3 are lengthened, then seven circular arcs are drawn around M1 as the center with the radii 2.5 m to 8.5 m. This is Ariadne’s thread, the axis of the pathways, for the labyrinth.
Figure 4: Circular arcs with the radii 0.5 m and 1.5 m are drawn around M2 and M3 up to the ends of the corresponding previously constructed circular arcs. The right circular arc with a radius of 1.5 m only goes up to the intersection with the horizontal construction line and then leads as a straight line to the center M1.
Figure 5: A parallel line is drawn as an auxiliary line at a distance of 1.5 m to the left of the central axis. An auxiliary circle with a radius of 4 m is drawn around M3 as the center point and intersected with the vertical auxiliary line. This creates the center point M4.
Figure 6: The three open arches to the left of the extended line M1 – M3 are connected with the radii 2.5 m, 3.5 m and 4.5 m to the line M3 – M4.
Figure 7: Around M4 as the center point, two curved pieces with the radii 0.5 m and 1.5 m are drawn, the radius 1.5 m only up to the horizontal construction line to M4. From here a straight line connects to the entrance of the labyrinth at the bottom.
Figure 8: Two auxiliary circles with a radius of 4 m are drawn around the center points M2 and M4 and the new center point M5 is constructed to the right of the central axis at the intersection of the same.
Figure 9: In the new sector, the free curved end pieces on the right side are connected with a radius of 2.5 m to 5.5 m to the line M2 – M5 or its extension.
Figure 10: Around M5 as the center, two semicircles with a radius of 0.5 m and 1.5 m are constructed. The complete Ariadne thread for the labyrinth is now drawn.
Figure 11: Parallel to all previous arches, the boundary lines of the labyrinth are now constructed at intervals of 0.5 m. Starting with R 1 m up to R 9 m for the outermost ring. With this all lines for the labyrinth are complete and can be used for different representations of the labyrinth in different variants.
For example here with the same widths for the boundary lines. The Ariadne thread is the free space between these lines:
The Classical 7 circuit labyrinth aligned to the central axis in Knidos style
Here again the previous drawing steps are summarized in a single design drawing, which can be scaled as required.
The design drawing
Here you might view, print or download it as a PDF file.