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< Zonneveld Manufactura < Mathematics

Line Patterns

Parallel & Rotated Lines

It is very interesting the beautiful shapes and patterns you can create with parallel and rotated lines.


Creating our Family Postcard from year 178 EB, we discovered a beautiful pattern that was created on the sea of the map. That generates an idea: What different patterns could be created with different angles?


So, it is amazing to discover how easy it is to create this new forms, and to see how much different depths of pattern are created from some angles.


The principle is: When we have a canvas filled with parallel at equidistant lines, and we copy and rotate this whole canvas at some angles, a new view can be created.

What can be changed at every step on that way are the distance between the parallel lines, the angles to apply, and how thick or thin the lines will be drawn.

To initiate the study, will be used all patterns with the same distance to begin with, and also as much as possible, the same thickness.


Of course, dividing a the 360º at 1 or 2 (180º) will create the same pattern, an result in the parallel lines itself.


Then will start some boring pattern, dividing 360º with 3 (or 6) and applying this angle (120º or 60º) the result is the same.


Also that happens with 4 with an angle of 90º. And the last even possibility is 8 (angle of 45º).


The next tests made was with the odd numbers until 2 Vahids (38), and just to see what happens, 5 Vahid = 95. It is possible to say that after 9, the pattern created are the same, with a small step.

If we could see a whole picture, or focused in a specific region, we also can observe a pattern inside a organized chaos.

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2024     Daniel Zonneveld Coltro     daniel.zonn@gmail.com
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