Staggered Isometric Map: Calculate map coordinates for point on screen

Posted by Chris on Game Development See other posts from Game Development or by Chris
Published on 2012-12-07T00:37:20Z Indexed on 2012/12/07 5:22 UTC
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I know there are already a lot of resources about this, but I haven't found one that matches my coordinate system and I'm having massive trouble adjusting any of those solutions to my needs. What I learned is that the best way to do this is to use a transformation matrix. Implementing that is no problem, but I don't know in which way I have to transform the coordinate space.

Here's an image that shows my coordinate system:

enter image description here

How do I transform a point on screen to this coordinate system?

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