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Mathematica > Rearranging & Restructuring Lists >

Flatten

Flatten[list]
flattens out nested lists.

Flatten[list, n]
flattens to level n.

Flatten[list, n, h]
flattens subexpressions with head h.

Flatten[list, {{s₁₁, s₁₂, ...}, {s₂₁, s₂₂, ...}, ...}]
flattens list by combining all levels s_ij to make each level i in the result.

If the m_ij are matrices, Flatten[{{m₁₁, m₁₂}, {m₂₁, m₂₂}}, {{1, 3}, {2, 4}}] effectively constructs a single matrix from the "blocks" m_ij.

Flatten[list, {{i₁}, {i₂}, ...}] effectively transposes levels in list, putting level i_k in list at level k in the result. Note that the function Transpose in effect uses an inverse of this specification.

Flatten flattens out levels in SparseArray objects just as in the corresponding ordinary arrays. »

Flatten out lists at all levels:

Flatten only at level 1: