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    void dual(Manifold& m)
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    void dual(Manifold& m)
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    {
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    {
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    // make sure every face knows its number
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    // make sure every face knows its number
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    int i = 0;
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    int i = 0;
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    FaceAttributeVector<int> ftouched(m);
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    FaceAttributeVector<int> ftouched(m.total_faces());
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    for(FaceIDIterator f = m.faces_begin(); f != m.faces_end(); ++f, ++i)
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    for(FaceIDIterator f = m.faces_begin(); f != m.faces_end(); ++f, ++i)
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        ftouched[*f] = i;
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        ftouched[*f] = i;
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    vector<Vec3f> vertices;
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    vector<Vec3f> vertices;
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    vertices.reserve(m.no_faces());
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    vertices.reserve(m.active_faces());
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    vector<int> faces;
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    vector<int> faces;
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    vector<int> indices;
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    vector<int> indices;
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    // Create new vertices. Each face becomes a vertex whose position
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    // Create new vertices. Each face becomes a vertex whose position
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    // is the centre of the face
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    // is the centre of the face