If we have a lattice and we invert the order, we again obtain a lattice, called the dual lattice. Is there a name for a lattice that is isomorphic to its dual lattice?
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This question was answered in a comment:
According to Wikipedia, the term 'self dual' applies to any partially ordered set equal to its own dual, regardless of whether it is a lattice.
(Note: there is a different meaning of 'lattice', resulting in another type of object called a 'self dual lattice'.)