How to Draw Variations on the Snail Shell Labyrinth, Part 4

Today we will consider the snail shell labyrinth with a bigger center. I like to call it the Knidos labyrinth.
The forms shown here arise if one spreads the ways uniformly – and the boundary lines equally broad as the ways. (This was not the case in the preceding postings of the parts 1 to 3). By this method an empty space (which I have already called fontanel) sometimes is left through the overlapping of the boundary lines. This space looks differently, depending on the path sequence. The whole form of the labyrinth is given when the fontanels shall be very small and the labyrinth very compactly. Besides, the center has the fourfold of the dimension between axes. The whole is, so to speak, a labyrinth on minimal possible space. Also it shows especially well how entwined the labyrinth is. There is no straight line in it any more. However, the labyrinth also does not become absolutely circular.

Knidos Labyrinth Type 1254 3678

Knidos Labyrinth Type 1254 3678

At first the type 1254 3678 after the path sequence without any crossings of the axis.


Now we will play with the crossings of axes. The “original” snail shell labyrinth was developed from the basic pattern, and it had the crossings of the axis at the beginning and at the end.

Knidos Snail Shell Labyrinth with 2 crossings of the axis

Knidos Snail Shell Labyrinth with 2 crossings of the axis

There are two turning points which are embedded in two other circuits. Thereby the changes of direction are made in the middle section. The spiral movement proceeds clockwisely. One can lay the entrance into the labyrinth and the entry into the center on the same vertical line.


Now we will cross the axes in the middle section.

Knidos Snail Shell Labyrinth with 2 crossings of the axis in the middle section

Knidos Snail Shell Labyrinth with 2 crossings of the axis in the middle section

This makes four turning points which lie spatially closely together. The moving inside the labyrinth has changed completely.


Here we will have more motion forwards and only two turning points which lead to changes of direction. All together we cross the axes four times.

Knidos Snail Shell Labyrinth with 4 crossings of the axis

Knidos Snail Shell Labyrinth with 4 crossings of the axis

For me this is still a labyrinth. There are two changes of direction, for the rest only motion forwards. How it is in a snail shell – or in a spiral.

If I have properly counted, there are a total of 12 variations for a labyrinth with the path sequence 1-2-5-4-3-6-7-8. Since one can combine the possible crossings of axes quite differently.

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