2) rotation (to change its orientation) the anchor points

So I created a simple hexagon using the polygon tool. When applying a 30° (360 / 6 / 2) rotation (to change its orientation) the anchor points are off by something what looks like a floating point rounding error.

So my question is, how do I rotate objects perfectly, so that the anchor points align with the grid again?

Steps to reproduce:

Create a hexagon (Polygon tool, 6 sides, 100 px radius)
Rotate it by 30° (Shift+F8)
Enable the grid and zoom in. The top and bottom anchor point will be noticeably off.

A rotation of 29.9° is actually closer to the desired result than 30°.

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@Goswami567

Going along with Scotts comment above, you would have to enable your grid and set your grid settings before creating your shapes, and thus transforming using the rotate tool.

NOTE: Do not accept this as an answer, all credit is due to Scott. I was unable to comment due to low reputation

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: Illustrator rotational transformation is imperfect So I created a simple hexagon using the polygon tool. When applying a 30° (360 / 6 / 2) rotation (to change its orientation) the anchor points

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