The cutting of the tip is normal by itself, it's controlled by the stroke-miterlimit property.
Could you explain that to me again? I mean, when I chose the first toggle button for from the "join:" option, I don't want it to be cut at all.
You cannot have it without cut at all, because this will result in the miter length approaching infinity as the angle between the segments approaches zero. You must have a cut somewhere still. That's what stroke-miterlimit is for. See:
http://www.w3.org/TR/SVG11/painting.html#StrokeProperties
The bad thing is that Inkscape does not seem to honor srtoke-miterlimit currently, although I recall that at one point it did honor it. It's another bug that must be fixed.
Well, not quite. I now see that it honors _small_ values. But in a wrong way. I added a comment to that bug.
Theoretically speaking this means if I have three nodes [1]--[2]--[3] and move node [3] above [1] and then move it closer towards one, the tip at node [2] should get longer and longer and for distance([1],[3])-->0 : tip([2])-->infinity. but what acutally seems to happen is tip([2])-->0.
Infinity is obviously not an option :) You can set stroke-miterlimit to a large - but finite - value. If you don't set it, the default is 4.
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