Hasse diagram
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Misc.
[edit]![]() Subsets of a 2-element set |
![]() Subsets of a 3-element set |
![]() Divisors of 60 ordered by divisibility |
![]() Non-negative integers ordered by divisibility | ||||||||
![]() Young–Fibonacci lattice |
![]() Young's lattice |
![]() Left: Divisors of 120 ordered by divisibility (Birkhoff's representation theorem) | |||||||||
![]() Associahedron of order 4 |
![]() Permutohedron of order 4 |
![]() Lattice of regular bands | |||||||||
![]() Free distributive lattices of monotonic Boolean functions |
![]() Rieger–Nishimura lattice (free Heyting algebra over one generator) |
![]() Types of quadrilaterals |
Subsets of a 4-element set:
![]() Emphasis on two cubes |
![]() Rhombic dodecahedral parallel projection of the tesseract |
![]() Logical connectives |
![]() Emphasis on all eight cubes |
![]() 4x4 matrix |
![]() Tetrahedral central projection of the tesseract Not a Hasse diagram, but similar: Highest element in center; lower elements farer away from center; lowest element not shown |
Partitions of a 4-element set ordered by refinement:
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![]() Only the 14 noncrossing partitions (This diagram is also vertically symmetric.) |
![]() Emphasis on sublattice |
![]() Emphasis on symmetry |
![]() Emphasis on number of elements per rank |
![]() Dihedral group Dih4 |
![]() Z23 |
![]() Z24 (rank expressed by background color, not by position) |
![]() 30 subgroups of S4 |
![]() 9 types of subgroups of S4 |
![]() 25 types of subgroups of the S4 × C2 |
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![]() A7 |
![]() C5 |
![]() F4 |