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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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Do you mean a self-dual lattice? –  Hagen von Eitzen Jan 1 '13 at 22:44
    
@Hagen I googled this before asking this question, and I found nothing relevant. –  Bartek Jan 1 '13 at 23:24

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This question was answered in a comment:

Do you mean a self-dual lattice? – Hagen von Eitzen Jan 1 '13 at 22:44

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'.)

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