edit this map or download as text // json
Identifier
Mp00015: Binary trees —to ordered tree: right child = right brother⟶ Ordered trees
Images
=>
Cc0010;cc-rep-0Cc0021;cc-rep-1
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[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]]=>[[],[[[]],[[]],[[]],[]],[[]],[]] [.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]]=>[[],[[[]],[[[]],[]],[]],[[]],[]] [.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]]=>[[],[[[[]],[[]],[[]],[]],[]],[]] [.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]]=>[[],[[[[]],[[[]],[]],[]],[]],[]] [.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]]=>[[],[[[]],[[]],[]],[[]],[[]],[]] [.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]]=>[[],[[[]],[[]],[]],[[[]],[]],[]] [.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]]=>[[],[[[[]],[[]],[]],[[]],[]],[]] [.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]]=>[[],[[[[]],[[]],[]],[]],[[]],[]] [.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]]=>[[],[[[[[]],[[]],[]],[]],[]],[]] [.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[],[[[]],[]],[[]],[[]],[[]],[]] [.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[],[[[]],[]],[[]],[[[]],[]],[]] [.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[],[[[]],[]],[[[]],[[]],[]],[]] [.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[[],[[[]],[]],[[[]],[]],[[]],[]] [.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[],[[[[]],[]],[[]],[[]],[]],[]] [.,[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[[],[[[[]],[]],[]],[[]],[[]],[]] [[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]]=>[[[],[[]],[[]],[[]],[[]],[]],[]] [[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],[.,.]]=>[[[],[[]],[[]],[[[]],[]],[]],[]] [[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]]=>[[[],[[]],[[[]],[[]],[]],[]],[]] [[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],[.,.]]=>[[[],[[]],[[[]],[]],[[]],[]],[]] [[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],[.,.]]=>[[[],[[]],[[[[]],[]],[]],[]],[]] [[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]]=>[[[],[[[]],[[]],[[]],[]],[]],[]] [[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],[.,.]]=>[[[],[[[]],[[[]],[]],[]],[]],[]] [[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]]=>[[[],[[[]],[[]],[]],[[]],[]],[]] [[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]]=>[[[],[[[[]],[[]],[]],[]],[]],[]] [[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>[[[],[[[]],[]],[[]],[[]],[]],[]] [[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[[],[[[]],[]],[[[]],[]],[]],[]] [[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[[[],[[[[]],[]],[[]],[]],[]],[]] [[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[[[],[[[[]],[]],[]],[[]],[]],[]] [[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],[.,.]]=>[[[],[[[[[]],[]],[]],[]],[]],[]] [[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]]=>[[[],[[]],[[]],[[]],[]],[[]],[]] [[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[]],[[[]],[]],[]],[[]],[]] [[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[]],[[]],[]],[]],[[]],[]] [[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[[]],[]],[[]],[]],[[]],[]] [[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[[[]],[]],[]],[]],[[]],[]] [[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],[.,.]]=>[[[[],[[]],[[]],[[]],[]],[]],[]] [[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],[.,.]]=>[[[[],[[]],[[[]],[]],[]],[]],[]] [[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],[.,.]]=>[[[[],[[[]],[[]],[]],[]],[]],[]] [[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[[[],[[[]],[]],[[]],[]],[]],[]] [[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]]=>[[[[],[[[[]],[]],[]],[]],[]],[]] [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[]],[[]],[]],[[]],[[]],[]] [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[[]],[]],[]],[[]],[[]],[]] [[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[]],[[]],[]],[[[]],[]],[]] [[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[[]],[]],[]],[[[]],[]],[]] [[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[]],[[]],[]],[[]],[]],[]] [[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[[[[],[[[]],[]],[]],[[]],[]],[]] [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[]],[[]],[]],[]],[[]],[]] [[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[[[],[[[]],[]],[]],[]],[[]],[]] [[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]]=>[[[[[],[[]],[[]],[]],[]],[]],[]] [[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],[.,.]]=>[[[[[],[[[]],[]],[]],[]],[]],[]] [[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[]],[]],[[]],[[]],[[]],[]] [[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[],[[]],[]],[[]],[[[]],[]],[]] [[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[],[[]],[]],[[[]],[[]],[]],[]] [[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[],[[]],[]],[[[[]],[]],[]],[]] [[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[[],[[]],[]],[[]],[[]],[]],[]] [[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[[],[[]],[]],[[[]],[]],[]],[]] [[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[[],[[]],[]],[[]],[]],[[]],[]] [[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[[],[[]],[]],[[]],[]],[]],[]] [[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[],[[]],[]],[]],[[]],[[]],[]] [[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[[],[[]],[]],[]],[[[]],[]],[]] [[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[[],[[]],[]],[]],[[]],[]],[]] [[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[[],[[]],[]],[]],[]],[[]],[]] [[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[[],[[]],[]],[]],[]],[]],[]] [[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[[],[]],[[]],[[]],[[]],[[]],[]] [[.,[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[[],[]],[[]],[[]],[[[]],[]],[]] [[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[[],[]],[[]],[[[]],[[]],[]],[]] [[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[[[],[]],[[]],[[[]],[]],[[]],[]] [[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[[[],[]],[[]],[[[[]],[]],[]],[]] [[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[[],[]],[[[]],[[]],[[]],[]],[]] [[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[[],[]],[[[]],[[[]],[]],[]],[]] [[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[[],[]],[[[]],[[]],[]],[[]],[]] [[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[[[],[]],[[[[]],[[]],[]],[]],[]] [[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[[[],[]],[[[]],[]],[[]],[[]],[]] [[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>[[[[],[]],[[]],[[]],[[]],[]],[]] [[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[[[],[]],[[]],[[[]],[]],[]],[]] [[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[[[[],[]],[[[]],[[]],[]],[]],[]] [[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[[[[],[]],[[[]],[]],[[]],[]],[]] [[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[[],[]],[[]],[[]],[]],[[]],[]] [[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[[[[],[]],[[]],[[]],[]],[]],[]] [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[[],[]],[[]],[]],[[]],[[]],[]] [[[.,[.,.]],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[[[[],[]],[]],[[]],[[]],[[]],[]] [[[.,[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[[],[]],[]],[[]],[[[]],[]],[]] [[[.,[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[[],[]],[]],[[[]],[[]],[]],[]] [[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[[],[]],[]],[[[[]],[]],[]],[]] [[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[[[],[]],[]],[[]],[[]],[]],[]] [[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[[[],[]],[]],[[[]],[]],[]],[]] [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[[[],[]],[]],[[]],[]],[[]],[]] [[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[[[],[]],[]],[[]],[]],[]],[]] [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[[],[]],[]],[]],[[]],[[]],[]] [[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[[[],[]],[]],[]],[[[]],[]],[]] [[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[[[],[]],[]],[]],[[]],[]],[]] [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[[[],[]],[]],[]],[]],[[]],[]] [[.,.],[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]]=>[[[]],[[]],[[]],[[]],[[[]],[]]] [.,[[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]]=>[[],[[[]],[[],[[],[[],[[]]]]]]] [[.,.],[[.,.],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]]]=>[[[]],[[]],[[]],[[[]],[[],[]]]] [[.,.],[[.,.],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]]]=>[[[]],[[]],[[[[]],[[],[]]],[]]] [[.,.],[[.,.],[[[.,.],[.,[[[.,.],[.,.]],.]]],.]]]=>[[[]],[[]],[[[]],[],[[[]],[]]]] [[.,.],[[.,.],[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]]=>[[[]],[[]],[[[]],[[],[[],[]]]]] [[.,.],[[[.,.],[[.,[.,.]],.]],[[[.,.],[.,.]],.]]]=>[[[]],[[[]],[[],[]]],[[[]],[]]] [[.,.],[[[[.,.],[[.,[.,.]],.]],[[.,[.,.]],.]],.]]=>[[[]],[[[[]],[[],[]]],[[],[]]]] [[.,.],[[[[.,.],[.,[[[.,.],[.,.]],.]]],[.,.]],.]]=>[[[]],[[[[]],[],[[[]],[]]],[]]] 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[[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,[.,.]],.]],.]=>[[[[[]],[],[[[]],[]]],[[],[]]]] [[[.,.],[[.,[[.,[.,.]],.]],.]],[[[.,.],[.,.]],.]]=>[[[[]],[[],[[],[]]]],[[[]],[]]] [[[[.,.],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]=>[[[[[]],[[],[[],[]]]],[[],[]]]] [[[[.,.],[.,[[.,.],[[[.,.],[.,.]],.]]]],[.,.]],.]=>[[[[[]],[],[[]],[[[]],[]]],[]]] [[[[.,.],[.,[[[.,.],[[.,[.,.]],.]],.]]],[.,.]],.]=>[[[[[]],[],[[[]],[[],[]]]],[]]] [[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]=>[[[[[]],[[[],[[],[]]],[]]],[]]] [[[[.,.],[[.,[.,[[[.,.],[.,.]],.]]],.]],[.,.]],.]=>[[[[[]],[[],[],[[[]],[]]]],[]]] [[[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]=>[[[[[]],[[],[[],[[],[]]]]],[]]] [[[.,.],[.,[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]],.]=>[[[[]],[],[[]],[[]],[[[]],[]]]] [[[.,.],[.,[[.,.],[[[.,.],[[.,[.,.]],.]],.]]]],.]=>[[[[]],[],[[]],[[[]],[[],[]]]]] [[[.,.],[.,[[[[.,.],[[.,[.,.]],.]],[.,.]],.]]],.]=>[[[[]],[],[[[[]],[[],[]]],[]]]] [[[.,.],[.,[[[.,.],[[.,[[.,[.,.]],.]],.]],.]]],.]=>[[[[]],[],[[[]],[[],[[],[]]]]]] [[[.,.],[[.,[[.,[.,.]],.]],[[[.,.],[.,.]],.]]],.]=>[[[[]],[[],[[],[]]],[[[]],[]]]] [[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]=>[[[[]],[[[],[[],[]]],[[],[]]]]] [[[.,.],[[[.,[.,[[[.,.],[.,.]],.]]],[.,.]],.]],.]=>[[[[]],[[[],[],[[[]],[]]],[]]]] [[[.,.],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]=>[[[[]],[[[],[[],[[],[]]]],[]]]] [[[.,.],[[.,[.,[[.,.],[[[.,.],[.,.]],.]]]],.]],.]=>[[[[]],[[],[],[[]],[[[]],[]]]]] [[[.,.],[[.,[.,[[[.,.],[[.,[.,.]],.]],.]]],.]],.]=>[[[[]],[[],[],[[[]],[[],[]]]]]] [[[.,.],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]=>[[[[]],[[],[[[],[[],[]]],[]]]]] [[[.,.],[[.,[[.,[.,[[[.,.],[.,.]],.]]],.]],.]],.]=>[[[[]],[[],[[],[],[[[]],[]]]]]] [[[.,.],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]=>[[[[]],[[],[[],[[],[[],[]]]]]]] [[.,[[.,.],.]],[[.,.],[[.,.],[[[.,.],[.,.]],.]]]]=>[[[],[[]]],[[]],[[]],[[[]],[]]] [[.,[[.,.],.]],[[.,.],[[[.,.],[[.,[.,.]],.]],.]]]=>[[[],[[]]],[[]],[[[]],[[],[]]]] [[.,[[.,.],.]],[[[[.,.],[[.,[.,.]],.]],[.,.]],.]]=>[[[],[[]]],[[[[]],[[],[]]],[]]] 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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 right child of $y$, $x$ becomes the right brother of $y$,
  • if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
Properties
bijective, graded
Sage code
def mapping(elt):
    return elt.to_ordered_tree_right_branch()
Weight
26
Created
Jan 19, 2020 at 07:29 by FindStatCrew
Updated
Jan 19, 2020 at 07:29 by Martin Rubey