edit this map or download as text // json
Identifier
Mp00010: Binary trees —to ordered tree: left child = left brother⟶ Ordered trees
Images
=>
Cc0010;cc-rep-0Cc0021;cc-rep-1
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[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],[.,.]]=>[[[[]],[[],[[]]]],[],[[]],[[]]] [[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]=>[[[]],[[],[[]]],[[]],[[]],[[]]] [[.,[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.]],.]=>[[[[[[[]],[[]]],[]],[]],[]],[]] [[.,[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.]],.]=>[[[[[[]],[[]],[[]]],[]],[]],[]] [[.,[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.]],.]=>[[[[],[[]],[[[],[[]]]]],[]],[]] [[.,[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.]],.]=>[[[[[[]],[[]]],[],[[]]],[]],[]] [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]],.]=>[[[[[]],[[]],[[]],[[]]],[]],[]] [[.,[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]]],.]=>[[[],[[]],[[[[],[[]]],[]]]],[]] [[.,[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]]],.]=>[[[],[[]],[[[],[[]],[[]]]]],[]] [[.,[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]]],.]=>[[[[],[[]]],[],[[[],[[]]]]],[]] [[.,[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]],.]=>[[[],[[]],[[]],[[[],[[]]]]],[]] [[.,[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]]],.]=>[[[[[[]],[[]]],[]],[],[[]]],[]] [[.,[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]]],.]=>[[[[[]],[[]],[[]]],[],[[]]],[]] [[.,[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]]],.]=>[[[],[[]],[[[],[[]]]],[[]]],[]] [[.,[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]]],.]=>[[[[[]],[[]]],[],[[]],[[]]],[]] [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[[[[]],[[]],[[]],[[]],[[]]],[]] [[[.,.],[.,.]],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]]=>[[],[[]],[[[[[],[[]]],[]],[]]]] [[[.,.],[.,.]],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]]=>[[],[[]],[[[[],[[]],[[]]],[]]]] [[[.,[.,.]],[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.]=>[[[]],[[],[[]],[[[],[[]]]]],[]] [[[.,.],[.,.]],[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]]=>[[],[[]],[[[[],[[]]],[],[[]]]]] [[[.,.],[.,.]],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[[],[[]],[[[],[[]],[[]],[[]]]]] [[[.,[[.,.],[.,.]]],.],[.,[[.,[[.,.],[.,.]]],.]]]=>[[[],[[]]],[],[[[[],[[]]],[]]]] [[[.,[[.,.],[.,.]]],.],[.,[[[.,.],[.,.]],[.,.]]]]=>[[[],[[]]],[],[[[],[[]],[[]]]]] [[[[.,.],[.,.]],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]]=>[[],[[]],[[]],[[[[],[[]]],[]]]] [[[[.,.],[.,.]],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]]=>[[],[[]],[[]],[[[],[[]],[[]]]]] [[[.,[[.,[[.,.],[.,.]]],.]],.],[.,[[.,.],[.,.]]]]=>[[[[],[[]]],[]],[],[[[],[[]]]]] [[[.,[[[.,.],[.,.]],[.,.]]],.],[.,[[.,.],[.,.]]]]=>[[[],[[]],[[]]],[],[[[],[[]]]]] [[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[],[[]],[[[],[[]]]],[[],[[]]]] [[[[.,[[.,.],[.,.]]],.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[],[[]]],[],[[]],[[[],[[]]]]] [[[[[.,.],[.,.]],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]=>[[],[[]],[[]],[[]],[[[],[[]]]]] [[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],[.,.]]=>[[[[[[]],[[]]],[]],[]],[],[[]]] [[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],[.,.]]=>[[[[[]],[[]],[[]]],[]],[],[[]]] [[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],[.,.]]=>[[[],[[]],[[[],[[]]]]],[],[[]]] [[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],[.,.]]=>[[[[[]],[[]]],[],[[]]],[],[[]]] [[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],[.,.]]=>[[[[]],[[]],[[]],[[]]],[],[[]]] [[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],[.,.]]=>[[],[[]],[[[[],[[]]],[]]],[[]]] [[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[],[[]],[[[],[[]],[[]]]],[[]]] [[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],[.,.]]=>[[[],[[]]],[],[[[],[[]]]],[[]]] [[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],[.,.]]=>[[],[[]],[[]],[[[],[[]]]],[[]]] [[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],[.,.]]=>[[[[[]],[[]]],[]],[],[[]],[[]]] [[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],[.,.]]=>[[[[]],[[]],[[]]],[],[[]],[[]]] [[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[],[[]],[[[],[[]]]],[[]],[[]]] [[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],[.,.]]=>[[[[]],[[]]],[],[[]],[[]],[[]]] [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[]],[[]],[[]],[[]],[[]],[[]]] [.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]=>[[[[[[[[]],[]],[]],[]],[]],[]]] [.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]]=>[[[[[[[]],[[]],[]],[]],[]],[]]] [.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]]=>[[[[[[]],[[[]],[]],[]],[]],[]]] [.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]]=>[[[[[[[]],[]],[[]],[]],[]],[]]] [.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]]=>[[[[[[]],[[]],[[]],[]],[]],[]]] [.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]]=>[[[[[]],[[[[]],[]],[]],[]],[]]] [.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]]=>[[[[[]],[[[]],[[]],[]],[]],[]]] [.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]]=>[[[[[[]],[]],[[[]],[]],[]],[]]] [.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]]=>[[[[[]],[[]],[[[]],[]],[]],[]]] [.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]]=>[[[[[[[]],[]],[]],[[]],[]],[]]] [.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]]=>[[[[[[]],[[]],[]],[[]],[]],[]]] [.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]]=>[[[[[]],[[[]],[]],[[]],[]],[]]] [.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]]=>[[[[[[]],[]],[[]],[[]],[]],[]]] [.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]]=>[[[[[]],[[]],[[]],[[]],[]],[]]] [.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[[[[]],[[[[[]],[]],[]],[]],[]]] [.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]=>[[[[]],[[[[]],[[]],[]],[]],[]]] [.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]=>[[[[]],[[[]],[[[]],[]],[]],[]]] [.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]=>[[[[]],[[[[]],[]],[[]],[]],[]]] [.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]=>[[[[]],[[[]],[[]],[[]],[]],[]]] [.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]]=>[[[[[]],[]],[[[[]],[]],[]],[]]] [.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]]=>[[[[[]],[]],[[[]],[[]],[]],[]]] [.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]]=>[[[[]],[[]],[[[[]],[]],[]],[]]] [.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]]=>[[[[]],[[]],[[[]],[[]],[]],[]]] [.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]]=>[[[[[[]],[]],[]],[[[]],[]],[]]] [.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]]=>[[[[[]],[[]],[]],[[[]],[]],[]]] [.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]]=>[[[[]],[[[]],[]],[[[]],[]],[]]] [.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]]=>[[[[[]],[]],[[]],[[[]],[]],[]]] [.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]]=>[[[[]],[[]],[[]],[[[]],[]],[]]] [.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]]=>[[[[[[[]],[]],[]],[]],[[]],[]]] [.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]]=>[[[[[[]],[[]],[]],[]],[[]],[]]] [.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]]=>[[[[[]],[[[]],[]],[]],[[]],[]]] [.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]]=>[[[[[[]],[]],[[]],[]],[[]],[]]] [.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]]=>[[[[[]],[[]],[[]],[]],[[]],[]]] [.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]]=>[[[[]],[[[[]],[]],[]],[[]],[]]] [.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]]=>[[[[]],[[[]],[[]],[]],[[]],[]]] [.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]]=>[[[[[]],[]],[[[]],[]],[[]],[]]] [.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]]=>[[[[]],[[]],[[[]],[]],[[]],[]]] [.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]]=>[[[[[[]],[]],[]],[[]],[[]],[]]] [.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]]=>[[[[[]],[[]],[]],[[]],[[]],[]]] [.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]]=>[[[[]],[[[]],[]],[[]],[[]],[]]] [.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]]=>[[[[[]],[]],[[]],[[]],[[]],[]]] [.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[[[[]],[[]],[[]],[[]],[[]],[]]] [[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[[[]],[[[[[[]],[]],[]],[]],[]]] [[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]=>[[[]],[[[[[]],[[]],[]],[]],[]]] [[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]=>[[[]],[[[[]],[[[]],[]],[]],[]]] [[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]=>[[[]],[[[[[]],[]],[[]],[]],[]]] [[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]=>[[[]],[[[[]],[[]],[[]],[]],[]]] [[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]=>[[[]],[[[]],[[[[]],[]],[]],[]]] [[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]=>[[[]],[[[]],[[[]],[[]],[]],[]]] [[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]=>[[[]],[[[[]],[]],[[[]],[]],[]]] [[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]=>[[[]],[[[]],[[]],[[[]],[]],[]]] [[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]=>[[[]],[[[[[]],[]],[]],[[]],[]]] [[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]=>[[[]],[[[[]],[[]],[]],[[]],[]]] [[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]=>[[[]],[[[]],[[[]],[]],[[]],[]]] [[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]=>[[[]],[[[[]],[]],[[]],[[]],[]]] [[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[[[]],[[[]],[[]],[[]],[[]],[]]] [[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[[]],[]],[[[[[]],[]],[]],[]]] [[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[[[[]],[]],[[[[]],[[]],[]],[]]] [[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[[[[]],[]],[[[]],[[[]],[]],[]]] [[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[[[[]],[]],[[[[]],[]],[[]],[]]] [[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[[[]],[]],[[[]],[[]],[[]],[]]] [[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[[[]],[[]],[[[[[]],[]],[]],[]]] [[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[[[]],[[]],[[[[]],[[]],[]],[]]] [[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[[[]],[[]],[[[]],[[[]],[]],[]]] [[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[[[]],[[]],[[[[]],[]],[[]],[]]] [[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[[[]],[[]],[[[]],[[]],[[]],[]]] [[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]]=>[[[[[]],[]],[]],[[[[]],[]],[]]] [[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]]=>[[[[[]],[]],[]],[[[]],[[]],[]]] [[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]]=>[[[[]],[[]],[]],[[[[]],[]],[]]] [[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[[[[]],[[]],[]],[[[]],[[]],[]]] [[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[[]],[]],[[[[]],[]],[]]] [[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[[]],[]],[[[]],[[]],[]]] [[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]]=>[[[[]],[]],[[]],[[[[]],[]],[]]] [[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[[]],[]],[[]],[[[]],[[]],[]]] [[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]=>[[[]],[[]],[[]],[[[[]],[]],[]]] [[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]=>[[[]],[[]],[[]],[[[]],[[]],[]]] [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]]=>[[[[[[]],[]],[]],[]],[[[]],[]]] [[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]]=>[[[[[]],[[]],[]],[]],[[[]],[]]] [[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[[[[]],[[[]],[]],[]],[[[]],[]]] [[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]]=>[[[[[]],[]],[[]],[]],[[[]],[]]] [[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]]=>[[[[]],[[]],[[]],[]],[[[]],[]]] [[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[[[]],[[[[]],[]],[]],[[[]],[]]] [[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]=>[[[]],[[[]],[[]],[]],[[[]],[]]] [[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[[[]],[]],[[[]],[]],[[[]],[]]] [[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]=>[[[]],[[]],[[[]],[]],[[[]],[]]] [[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]]=>[[[[[]],[]],[]],[[]],[[[]],[]]] [[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]]=>[[[[]],[[]],[]],[[]],[[[]],[]]] [[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]=>[[[]],[[[]],[]],[[]],[[[]],[]]] [[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[[]],[]],[[]],[[]],[[[]],[]]] [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]=>[[[]],[[]],[[]],[[]],[[[]],[]]] [[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]]=>[[[[[[[]],[]],[]],[]],[]],[[]]] [[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]]=>[[[[[[]],[[]],[]],[]],[]],[[]]] [[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]]=>[[[[[]],[[[]],[]],[]],[]],[[]]] [[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]]=>[[[[[[]],[]],[[]],[]],[]],[[]]] [[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]]=>[[[[[]],[[]],[[]],[]],[]],[[]]] [[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[[[[]],[[[[]],[]],[]],[]],[[]]] [[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]]=>[[[[]],[[[]],[[]],[]],[]],[[]]] [[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]]=>[[[[[]],[]],[[[]],[]],[]],[[]]] [[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]]=>[[[[]],[[]],[[[]],[]],[]],[[]]] [[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]]=>[[[[[[]],[]],[]],[[]],[]],[[]]] [[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]]=>[[[[[]],[[]],[]],[[]],[]],[[]]] [[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]]=>[[[[]],[[[]],[]],[[]],[]],[[]]] [[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]]=>[[[[[]],[]],[[]],[[]],[]],[[]]] [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]]=>[[[[]],[[]],[[]],[[]],[]],[[]]] [[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[[[]],[[[[[]],[]],[]],[]],[[]]] [[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]=>[[[]],[[[[]],[[]],[]],[]],[[]]] [[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]=>[[[]],[[[]],[[[]],[]],[]],[[]]] [[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]=>[[[]],[[[[]],[]],[[]],[]],[[]]] [[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]=>[[[]],[[[]],[[]],[[]],[]],[[]]] [[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]]=>[[[[]],[]],[[[[]],[]],[]],[[]]] [[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[[]],[]],[[[]],[[]],[]],[[]]] [[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]=>[[[]],[[]],[[[[]],[]],[]],[[]]] [[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]=>[[[]],[[]],[[[]],[[]],[]],[[]]] [[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]]=>[[[[[]],[]],[]],[[[]],[]],[[]]] [[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[[[[]],[[]],[]],[[[]],[]],[[]]] [[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[[[]],[[[]],[]],[[[]],[]],[[]]] [[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[[]],[]],[[]],[[[]],[]],[[]]] [[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]=>[[[]],[[]],[[]],[[[]],[]],[[]]] [[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]]=>[[[[[[]],[]],[]],[]],[[]],[[]]] [[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]]=>[[[[[]],[[]],[]],[]],[[]],[[]]] [[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]]=>[[[[]],[[[]],[]],[]],[[]],[[]]] [[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]]=>[[[[[]],[]],[[]],[]],[[]],[[]]] [[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[[[[]],[[]],[[]],[]],[[]],[[]]] [[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]=>[[[]],[[[[]],[]],[]],[[]],[[]]] [[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[[[]],[[[]],[[]],[]],[[]],[[]]] [[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[[]],[]],[[[]],[]],[[]],[[]]] [[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]=>[[[]],[[]],[[[]],[]],[[]],[[]]] [[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]]=>[[[[[]],[]],[]],[[]],[[]],[[]]] [[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]]=>[[[[]],[[]],[]],[[]],[[]],[[]]] [[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]=>[[[]],[[[]],[]],[[]],[[]],[[]]] [[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[]],[]],[[]],[[]],[[]],[[]]]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
  • if $x$ is the left child of $y$, $x$ becomes the left brother of $y$,
  • if $x$ is the right child of $y$, $x$ becomes the last child of $y$.
Properties
bijective, graded
Sage code
def mapping(elt):
    return elt.to_ordered_tree_left_branch()
Weight
26
Created
Jan 01, 2018 at 00:00 by FindStatCrew
Updated
Jan 06, 2020 at 14:05 by Martin Rubey