The line width has an influence while flipping and tiling objects to obtain results like below. I will show the consequences of this influence in the next messages.
The line width has an influence while flipping and tiling objects to obtain results like below. I will show the consequences of this influence in the next messages.
The "Scale line widths" tool was unchecked ;
the "Set origin position" tool was used to move the rotation center to one side of the object ;
then I used the "Flip horizontally" tool.
As you see on the "radiographic" magnification of the of the central area of the design (inside the circle), the flip axis stays slightly inside the line width : in fact exactly at the quarter of this width, and the external edge of one line is tangent to the middle stroke of the other.
Warning : in the case of objects with a line width, the rotation calculation is always calculated on the base of the constant pressure width and doesn't depends from the local width variations of a stroke profile.
In this second case, the "Scale line widths" tool was checked ;
in this case it results in a little gap between the two symmetric shapes ;
the flip axis stays here exactly on the external edge of the lines calculated at their constant line width (in faded colors) ; the gap is caused by the local difference between this width and the stroke shape width (in saturated colors).
One way to obtain the edges of the first object lines exactly tangent to the opposite is converting the lines to shapes ; another one is overlaying and grouping the shape with a transparent bounding box created as follows : create a bitmap copy and hold down the "shift" key while creating it (that will place the copy exactly in front of the shape) ; convert this copy to an editable shape, fill it with any color and apply a 100% transparency.
Prince Edward Island, Canada --- The land of lawn tractors
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Thanks Ivan for your detailed investigation.
The pattern you created in your first posting planted a seed of an idea in my mind. If the repeated pattern is created entirely of lines then it might be interesting to select all lines (after the repeating pattern is created) and then apply brushes and strokes to see the impact. It could make an interesting animation --- none of the lines would change position but the character of the pattern could change dramatically. I'll have to try it...
Something wasn't logical in my first "radiography" (I was astonished by a so weird result) and I have tried to set the line width to 0pt. The result is below. In the first case the middle strokes are perfectly tangent but the process was disturbed by the lines inside the red circles !!!
Sorry but I wasn't able to edit my first post and thus I must add this correction.
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