Geometry

Navigation page for Blueprint/D5/S3/Combinatorics/Geometry/ at upstream snapshot 7950abe5fc585c09e689d51420b219ecabf9a122.

Contents

• Actual crown order polytopes
• Faces and connected compatible partitions
• The crown auxiliary Chebyshev identity
• Boundary cuts of a cycle partition
• Proper crown blocks as cyclic intervals
• Compatibility of crown cycle partitions
• Affine dimensions of crown faces
• Merging selected blocks into endpoints
• Recovering endpoint selections
• Crown composition enumeration
• Actual geometric face counts
• Log-concavity of the full crown f-vector
• Marked cuts and parity profiles
• Geometry of odd crown blocks
• All positive crown sizes
• The auxiliary scalar polynomial
• Counting selected odd blocks
• The two exceptional vertices
• Signed cardinality need not be zero-mesic
• Rectangle rowmotion max-minus-min homomesy
• Rectangular corners of order-convex sets
• Endpoint transport along the literal toggle trace