algorithmic modeling for Rhino
So assuming you have a symbol consisting of various pieces of geometry (be it a circle with a line like in your image or an arrow like in my example), you want to populate a grid with that symbol, where each instance has a custom rotation and scale. So you need to in fact combine three separate transformations in order to make each instance:
The order or the first two doesn't matter, but moving needs to happen last, otherwise the amount you move will be affected by the scaling factor and the direction you move in will be affected by the rotation angle.
You could perform these three steps on the symbol in succession, but a more efficient method is to only compute all transformations, combine them into a single one and only then actually transform your symbols:
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