Feeds:
Posts

## How to Draw Variations on the Snail Shell Labyrinth, Part 3

Today we will consider the snail shell labyrinth in circular form. First we see the labyrinth drawn according to the path sequence without crossing any axis. The following drawing shows the boundary lines in black. We can recognise very well that the middle axis is not crossed.

The Snail Shell Labyrinth without crossing the axis

However, this is not any more the original snail shell labyrinth, even if it shows the same path sequence. Due to the the oscillating movements it is “closer” to a true labyrinth and constitutes an own type. This is why one should call it better type 1254 3678.

Now we will play with the crossings of the axis. Since they constitute the original snail shell labyrinth, although it can be developed from the seed pattern. The crossings of the axis are possible at different places: Here they are at the beginning and at the end.

The Snail Shell Labyrinth with crossings of the axis at the beginning and at the end

There are two turning points which are embedded in two other circuits. Thereby there are some changes in the motion sequence in the middle section. As to the rest the spiral movement towards the center in a clockwise direction predominates. One can place the entrance into the labyrinth and the entry into the middle from the last circuit along the middle axis. By fliping the figure vertically one could generate a counterclockwise moving.

Now the crossings of the axis are additionally executed in the middle section.

The Snail Shell Labyrinth with crossings of the axis in the middle section

This looks not so nice in circular form, because one must, so to speak, hook. There are two changes of direction less,  and instead more moving forwards.

What happens if we only bank on motion forwards and don’t care about the changes of direction? And if  we cross all axes possible? The following drawing shows it:

A circular spiral

This is, by the way, no real spiral in the mathematical sense. The right half has only other radii than the left one.
We have no more a labyrinth. The path sequence which was identical in all previous examples has vanished. So we can see that the changes of direction belong substantially to the labyrinth. A simple motion forwards into the center don’t result in labyrinth.

Related Posts

### 2 Responses

1. […] « How to Draw Variations on the Snail Shell Labyrinth, Part 3 […]

Like

2. I enjoy reading through an article that can make men and women think. Also, thanks for permitting me to comment!|

Like

This site uses Akismet to reduce spam. Learn how your comment data is processed.