Identifier
Mp00008:
Binary trees
—to complete tree⟶
Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Mp00048: Ordered trees —left-right symmetry⟶ Ordered trees
Images
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[[[.,.],[[.,.],.]],.] => [[[[],[]],[[[],[]],[]]],[]] => [[],[[[],[[],[]]],[[],[]]]]
[[[.,[.,.]],[.,.]],.] => [[[[],[[],[]]],[[],[]]],[]] => [[],[[[],[]],[[[],[]],[]]]]
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[[[.,[[.,.],.]],.],.] => [[[[],[[[],[]],[]]],[]],[]] => [[],[[],[[[],[[],[]]],[]]]]
[[[[.,.],[.,.]],.],.] => [[[[[],[]],[[],[]]],[]],[]] => [[],[[],[[[],[]],[[],[]]]]]
[[[[.,[.,.]],.],.],.] => [[[[[],[[],[]]],[]],[]],[]] => [[],[[],[[],[[[],[]],[]]]]]
[[[[[.,.],.],.],.],.] => [[[[[[],[]],[]],[]],[]],[]] => [[],[[],[[],[[],[[],[]]]]]]
[.,[.,[.,[.,[.,[.,.]]]]]] => [[],[[],[[],[[],[[],[[],[]]]]]]] => [[[[[[[],[]],[]],[]],[]],[]],[]]
[.,[.,[.,[.,[[.,.],.]]]]] => [[],[[],[[],[[],[[[],[]],[]]]]]] => [[[[[[],[[],[]]],[]],[]],[]],[]]
[.,[.,[.,[[.,.],[.,.]]]]] => [[],[[],[[],[[[],[]],[[],[]]]]]] => [[[[[[],[]],[[],[]]],[]],[]],[]]
[.,[.,[.,[[.,[.,.]],.]]]] => [[],[[],[[],[[[],[[],[]]],[]]]]] => [[[[[],[[[],[]],[]]],[]],[]],[]]
[.,[.,[.,[[[.,.],.],.]]]] => [[],[[],[[],[[[[],[]],[]],[]]]]] => [[[[[],[[],[[],[]]]],[]],[]],[]]
[.,[.,[[.,.],[.,[.,.]]]]] => [[],[[],[[[],[]],[[],[[],[]]]]]] => [[[[[[],[]],[]],[[],[]]],[]],[]]
[.,[.,[[.,.],[[.,.],.]]]] => [[],[[],[[[],[]],[[[],[]],[]]]]] => [[[[[],[[],[]]],[[],[]]],[]],[]]
[.,[.,[[.,[.,.]],[.,.]]]] => [[],[[],[[[],[[],[]]],[[],[]]]]] => [[[[[],[]],[[[],[]],[]]],[]],[]]
[.,[.,[[[.,.],.],[.,.]]]] => [[],[[],[[[[],[]],[]],[[],[]]]]] => [[[[[],[]],[[],[[],[]]]],[]],[]]
[.,[.,[[.,[.,[.,.]]],.]]] => [[],[[],[[[],[[],[[],[]]]],[]]]] => [[[[],[[[[],[]],[]],[]]],[]],[]]
[.,[.,[[.,[[.,.],.]],.]]] => [[],[[],[[[],[[[],[]],[]]],[]]]] => [[[[],[[[],[[],[]]],[]]],[]],[]]
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[.,[.,[[[.,[.,.]],.],.]]] => [[],[[],[[[[],[[],[]]],[]],[]]]] => [[[[],[[],[[[],[]],[]]]],[]],[]]
[.,[.,[[[[.,.],.],.],.]]] => [[],[[],[[[[[],[]],[]],[]],[]]]] => [[[[],[[],[[],[[],[]]]]],[]],[]]
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[.,[[.,.],[[.,.],[.,.]]]] => [[],[[[],[]],[[[],[]],[[],[]]]]] => [[[[[],[]],[[],[]]],[[],[]]],[]]
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[.,[[.,.],[[[.,.],.],.]]] => [[],[[[],[]],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[[],[]]],[]]
[.,[[.,[.,.]],[.,[.,.]]]] => [[],[[[],[[],[]]],[[],[[],[]]]]] => [[[[[],[]],[]],[[[],[]],[]]],[]]
[.,[[.,[.,.]],[[.,.],.]]] => [[],[[[],[[],[]]],[[[],[]],[]]]] => [[[[],[[],[]]],[[[],[]],[]]],[]]
[.,[[[.,.],.],[.,[.,.]]]] => [[],[[[[],[]],[]],[[],[[],[]]]]] => [[[[[],[]],[]],[[],[[],[]]]],[]]
[.,[[[.,.],.],[[.,.],.]]] => [[],[[[[],[]],[]],[[[],[]],[]]]] => [[[[],[[],[]]],[[],[[],[]]]],[]]
[.,[[.,[.,[.,.]]],[.,.]]] => [[],[[[],[[],[[],[]]]],[[],[]]]] => [[[[],[]],[[[[],[]],[]],[]]],[]]
[.,[[.,[[.,.],.]],[.,.]]] => [[],[[[],[[[],[]],[]]],[[],[]]]] => [[[[],[]],[[[],[[],[]]],[]]],[]]
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[.,[[[.,[.,.]],.],[.,.]]] => [[],[[[[],[[],[]]],[]],[[],[]]]] => [[[[],[]],[[],[[[],[]],[]]]],[]]
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[.,[[.,[.,[.,[.,.]]]],.]] => [[],[[[],[[],[[],[[],[]]]]],[]]] => [[[],[[[[[],[]],[]],[]],[]]],[]]
[.,[[.,[.,[[.,.],.]]],.]] => [[],[[[],[[],[[[],[]],[]]]],[]]] => [[[],[[[[],[[],[]]],[]],[]]],[]]
[.,[[.,[[.,.],[.,.]]],.]] => [[],[[[],[[[],[]],[[],[]]]],[]]] => [[[],[[[[],[]],[[],[]]],[]]],[]]
[.,[[.,[[.,[.,.]],.]],.]] => [[],[[[],[[[],[[],[]]],[]]],[]]] => [[[],[[[],[[[],[]],[]]],[]]],[]]
[.,[[.,[[[.,.],.],.]],.]] => [[],[[[],[[[[],[]],[]],[]]],[]]] => [[[],[[[],[[],[[],[]]]],[]]],[]]
[.,[[[.,.],[.,[.,.]]],.]] => [[],[[[[],[]],[[],[[],[]]]],[]]] => [[[],[[[[],[]],[]],[[],[]]]],[]]
[.,[[[.,.],[[.,.],.]],.]] => [[],[[[[],[]],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[[],[]]]],[]]
[.,[[[.,[.,.]],[.,.]],.]] => [[],[[[[],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[]]]],[]]
[.,[[[[.,.],.],[.,.]],.]] => [[],[[[[[],[]],[]],[[],[]]],[]]] => [[[],[[[],[]],[[],[[],[]]]]],[]]
>>> Load all 1591 entries. <<<
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[[.,[.,.]],[.,[.,[.,.]]]] => [[[],[[],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[]],[]]]
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[[[.,.],.],[[.,[.,.]],.]] => [[[[],[]],[]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[],[[],[]]]]
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[[.,[.,[.,[.,.]]]],[.,.]] => [[[],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[]]]
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[[[[.,.],[.,.]],.],[.,.]] => [[[[[],[]],[[],[]]],[]],[[],[]]] => [[[],[]],[[],[[[],[]],[[],[]]]]]
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[[.,[.,.]],[.,[[[.,.],.],.]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[]]]] => [[[[],[[],[[],[]]]],[]],[[[],[]],[]]]
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[[[.,.],.],[[.,[[.,.],.]],.]] => [[[[],[]],[]],[[[],[[[],[]],[]]],[]]] => [[[],[[[],[[],[]]],[]]],[[],[[],[]]]]
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[[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[],[[],[[],[]]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[[],[]],[]],[]]]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [[[],[[],[[],[]]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[[],[]],[]],[]]]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [[[],[[],[[],[]]]],[[[[],[]],[]],[]]] => [[[],[[],[[],[]]]],[[[[],[]],[]],[]]]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[],[[[],[]],[]]],[[],[[],[[],[]]]]] => [[[[[],[]],[]],[]],[[[],[[],[]]],[]]]
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[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[],[]],[[],[[],[]]]],[[],[[],[]]]] => [[[[],[]],[]],[[[[],[]],[]],[[],[]]]]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[],[]],[[],[[],[]]]],[[[],[]],[]]] => [[[],[[],[]]],[[[[],[]],[]],[[],[]]]]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[],[]],[[[],[]],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[[],[]]],[[],[]]]]
[[[.,.],[[.,.],.]],[[.,.],.]] => [[[[],[]],[[[],[]],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[[],[]]],[[],[]]]]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[[],[[],[]]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[[],[]],[]]]]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [[[[],[[],[]]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[[],[]],[]]]]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[],[]],[]],[[],[]]],[[],[[],[]]]] => [[[[],[]],[]],[[[],[]],[[],[[],[]]]]]
[[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[],[]],[]],[[],[]]],[[[],[]],[]]] => [[[],[[],[]]],[[[],[]],[[],[[],[]]]]]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[[],[[],[[],[]]]],[]],[[],[[],[]]]] => [[[[],[]],[]],[[],[[[[],[]],[]],[]]]]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [[[[],[[],[[],[]]]],[]],[[[],[]],[]]] => [[[],[[],[]]],[[],[[[[],[]],[]],[]]]]
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[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[[[],[]],[[],[[],[[],[]]]]],[[],[]]] => [[[],[]],[[[[[],[]],[]],[]],[[],[]]]]
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[[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[],[]],[[[],[]],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[[],[]]],[[],[]]]]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[],[]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[],[]]]]
[[[.,.],[[[.,.],.],.]],[.,.]] => [[[[],[]],[[[[],[]],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[[],[]]]],[[],[]]]]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[[[],[[],[]]],[[],[[],[]]]],[[],[]]] => [[[],[]],[[[[],[]],[]],[[[],[]],[]]]]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[[[],[[],[]]],[[[],[]],[]]],[[],[]]] => [[[],[]],[[[],[[],[]]],[[[],[]],[]]]]
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[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[[[],[[],[[],[]]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[[],[]],[]],[]]]]
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[[[.,[.,[[.,.],.]]],.],[.,.]] => [[[[],[[],[[[],[]],[]]]],[]],[[],[]]] => [[[],[]],[[],[[[[],[[],[]]],[]],[]]]]
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[[.,[.,[[[.,[.,.]],.],.]]],.] => [[[],[[],[[[[],[[],[]]],[]],[]]]],[]] => [[],[[[[],[[],[[[],[]],[]]]],[]],[]]]
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[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[[],[[[],[[],[]]],[]]],[[],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[]],[[[],[[[],[]],[]]],[]]]]]],[]]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [[],[[[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[]]] => [[[],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]]],[]]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [[[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[]]],[[[],[[],[]]],[]]] => [[[],[[[],[]],[]]],[[[],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]]
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[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [[[],[[[[[[],[[],[]]],[[],[]]],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[[[],[]],[[[],[]],[]]]]]],[]]]
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[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[],[[[],[[],[]]],[]]],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[[[],[[[],[]],[]]],[]]]]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [[[[[],[[],[]]],[[],[]]],[[[[],[[],[]]],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[[[],[]],[]]]],[[[],[]],[[[],[]],[]]]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[],[[[[],[[],[]]],[[],[]]],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[[[],[]],[[[],[]],[]]]],[]]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[[],[]]],[[[],[[],[]]],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[[[],[]],[]]],[[[],[]],[]]]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[],[[[],[[],[]]],[]]],[[],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[[[],[[[],[]],[]]],[]]]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [[[[[[],[[],[]]],[[],[]]],[[],[]]],[[[],[[],[]]],[]]],[[],[]]] => [[[],[]],[[[],[[[],[]],[]]],[[[],[]],[[[],[]],[[[],[]],[]]]]]]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [[[[],[[[[],[[[],[[],[]]],[]]],[[],[]]],[]]],[[],[]]],[[],[]]] => [[[],[]],[[[],[]],[[[],[[[],[]],[[[],[[[],[]],[]]],[]]]],[]]]]
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[.,[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]] => [[],[[[[],[[[],[]],[[[],[[],[]]],[]]]],[[],[]]],[]]] => [[[],[[[],[]],[[[[],[[[],[]],[]]],[[],[]]],[]]]],[]]
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[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]] => [[],[[[[[],[[],[]]],[[],[]]],[]],[[[],[[],[]]],[]]]] => [[[[],[[[],[]],[]]],[[],[[[],[]],[[[],[]],[]]]]],[]]
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[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]] => [[[[],[[],[]]],[[[],[]],[[[],[]],[[],[]]]]],[[[],[]],[[],[]]]] => [[[[],[]],[[],[]]],[[[[[],[]],[[],[]]],[[],[]]],[[[],[]],[]]]]
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[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [[[],[[[[[[[[],[]],[]],[]],[]],[]],[]],[]]],[]] => [[],[[[],[[],[[],[[],[[],[[],[[],[]]]]]]]],[]]]
Map
to complete tree
Description
Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of an ordered tree.
searching the database
Sorry, this map was not found in the database.