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I have a points layer with hundreds of features at variable distance from each other. Now what I want to do is create 4 new points for each feature of this layer at a fixed distance (30m) AND orientation (exactly North, East, South, West).
Something like this (forgive my draw skills):
Where grey points are from input and the color ones are the output.
I was willing to do in QGIS, but can be also PostGIS or another solution.
The desired result can be achieved both in QGIS and PostGIS, and I will offer a method in QGIS in SRID 4326.
1) Run the "Rectangles, ovals, rhombus (fixed)" tool and set the values specified in the fields, see figure 1.
2) Extract from all the obtained rhombuses of the point, for which run Vector> Geometry processing> Extract vertices ... see figure 2.
3) See the result in figure 3.
geometry by expressiontool to create points based on the answer @ThingumaBob linked to. Or if you just want to visualize those points, use them in ageometry generatorstyle.