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If I dynamically render a polygon (for example the border of a district in the UK) on a map, with OpenLayers 3, is it possible somehow to zoom in on the polygon, until it exactly fits the view?

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You can't ever guarantee to exactly fit the view as in general your district may have a different aspect ratio (width/height) than your view.

OpenLayers 3 provides the useful fit method on the view to allow you to do this.

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