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some faces of an object disappear when viewed at certain angle

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I rendered an object with several faces. When viewed from front face, it appears correctly. however when i rotate the object 360 deg, at certain angles, some faces disappear. How do I make sure that the faces appear at all angles?

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I have:
gluPerspective(45.0f,(GLfloat)width/(GLfloat) height,0.1f,100.0f);

how do i modify it? but it doesn''t seem to make sense that other objects i rendered in the same scene appeared nicely, only this particular object doesn''t..

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