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CounterclockwiseTriangulationRotation ​

Rotate the triangulation of the (n + 2)-gon the path stands for one step counterclockwise.

CounterclockwiseTriangulationRotation(DyckPath)Rotate the triangulation of the (n + 2)-gon the path stands for one step counterclockwise.
Typed signatures
TypePackageApplies
(dyck_path) -> dyck_pathcombinatoricsalways

Domain: Combinatorial maps

Details
  • Takes a DyckPath and returns a DyckPath — a typed map, so a wrong carrier is a type error rather than a wrong answer.
  • FindStat's Mp00331, the inverse of ClockwiseTriangulationRotation.

Examples

Basic #

the Dyck path UUDDUDUUDDUD

live ↗
InCounterclockwiseTriangulationRotation(DyckPath⁡([1,1,0,0,1,0]))\mathrm{CounterclockwiseTriangulationRotation}({\operatorname{DyckPath}}([1, 1, 0, 0, 1, 0]))OutDyckPath⁡([1,1,0,1,0,0]){\operatorname{DyckPath}}([1, 1, 0, 1, 0, 0])
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Examples1
CrosswalkFindStat