In QuadrangulateMesh options Rhino 6 has the following options:

Planarity

Rectangularity

Increment

When I read associated help everything is clear but I have no clue why I should input any value into “Planarity” input instead of inputting “Rectangularity” only. Planarity is simply given by the information about neighbouring triangle faces in the original file - there is nothing to adjust here.

What in fact is the difference between the values to be input into these two windows?

And what are spinner controls?

Planarity | The angle between the face normals of the triangles. |
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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. |

Regards