Board Size
Pipe dreams live on the upper-left staircase. Set n to adjust the triangular board.
Tile Palette
Auto Layout
Enter a permutation in one-line notation (e.g.
3 1 4 2) and build a canonical pipe dream.
State Management
Board
Validation
Use "Validate" to check pipe connectivity, permutation, and reducedness.
Chute Moves
Chute moves slide a cross down a two-row ladder; the K-theoretic variant keeps the original cross as well. Apply any detected move below.
No chute moves detected for the current board.
Monomial Weights
Weights are products of crosses: rows give x-powers, crosses give x-y factors.