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A mirror group would mirror entities and meshes against a specified workplane (exactly one). This makes it possible to achieve the following forms of symmetry, starting from the shape ∀∃:
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by using a mirror group once:
∀∃ E∀ -
by using a mirror group twice, with the same initial group active during second "Mirror" command
∀∃ E∀ A∃ -
by using a mirror group twice, with the first mirror group active during second "Mirror" command
∀∃ E∀ A∃ EA
Unresolved questions: whether there should also be a way to use a point and a normal, while locked in workplane, to specify the mirror plane. It adds some logic, but may be more convenient, especially later in a sketch when none of the reference planes are handy.
Feature originally requested by Fong Lin.
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