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It sounds like what you are asking could be sorted using custom polygons shapes. First you'll need to get the boundary data - an ESRI shapefile or a MapInfo MIF file are common formats. You then need to convert this into a vertex list that Tableau can read. See the following blog post (and the included video) for some guidance on how you could do this:
There are multiple tools you can use to convert the boundary files. I tend to use Alteryx (mostly because it has a feature that conforms boundaries when you simplify the polygons). There are also free tools such as ShapeToTab by Richard Leeke or Mary Solbrig's R shapefile importer.
Hope this helps.
Alan, you are most awesome, love what you have done with your Australian map.
I have tried the R version, but that doesn't give me the ability to add the name to the township, or other data, so I will have to attempt the other method. Of course, I haven't viewed your video yet...which would probably tell me what I am doing wrong...