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Sector placement

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I have created a portal engine where artists place portals and sectors in Maya and then a plugin exports the level for use in my engine. Here is a problem I have encountered. When an artist places 2 sectors together, there is a very very slight overlap. However this will wreak havok in m engine when it comes time to determine what sector the player starts in. I fear that in some instances based on the player's position he can be in more than one sector because of this overlap. Does anyone have a good way of dealing with small overlap problems in sectors? I am having problems when it comes time to draw the scene and determining what sector the player is in as there is a chance for an ambiguity I think. Many thanks in advance.

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