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The QuadrangulateMesh command merges mesh triangles into quadrangles.
Diagonals that are unwelded (have unique vertexes at the corners) will not be considered as candidates for merging triangles into quadrangles.
Planarity: The angle between the face normals of the triangles.
Rectangularity: Specify a number greater than or equal to 1. If the adjacent triangles pass the planarity test then they will be merged into a quadrangle if the largest ratio of the lengths of the diagonal is less than or equal to the number you typed, then the triangles are converted to quadrangle.
Increment: Increment value used by the spinner controls.