Hi community!
Picture:
Demo: https://codepen.io/prisoner849/pen/ZEjEwmJ
Working on it was a good reminder of not to call normalize() on vectors of zero length 
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Its very clever that the distance between the lines remains consistent while it transforms.
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@seanwasere Once upon a time I made a prototype of this in js, here: геометрия - Как найти точки пересечения прямых? - Stack Overflow на русском (Russian, though). And in the demo I tried to port that solution’s idea into vertex shader.