Lattices
The Lattice Zoo
A small gallery of named lattices — the structures that appear so often in algebra that they have earned proper names, drawn with care, with notes on where each one shows up.
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M₃ — the diamond
Puremodularnon-distributivecomplementedatomistic -
N₅ — the pentagon
Purenon-modularnon-distributivecomplemented -
B₃ — the Boolean lattice on three atoms
PureApplieddistributivecomplementedBooleanatomistic - geometricsemimodularatomisticnon-distributive
- distributivefreefinite
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T₄ — the Tamari lattice on four leaves
PureMath + AInon-modularsemidistributiveassociahedron