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Opengl Triangle Strip Concatenation?

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I've seen the concatenation article on here but it seems to only apply to directX. Is there a way to concatenate opengl triangle strips? I was trying to draw a square height map with just 1 strip, instead of multiple linear strips, by drawing in either a zig-zag or spiral pattern. but i have realised that because of the vertex order, it does not appear possible to turn corners with a triangle strip without some folding occurring, even if I was to flip the culling from back to front each turn, some parts would overlap.

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