A plane partition whose solid Young diagram is invariant under the rotation which cyclically permutes the -, -, and -axes. Macdonald's plane partition conjecture gives a formula for the number of cyclically symmetric plane partitions (CSPPs) of a given integer whose Young diagrams fit inside an box. Macdonald gave a product representation for the power series whose coefficients were the number of such partitions of .

Bressoud, D. and Propp, J. "How the Alternating Sign Matrix Conjecture was Solved." Not. Amer. Math. Soc. 46, 637-646.

CITE THIS AS:

Weisstein, Eric W. "Cyclically Symmetric Plane Partition." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CyclicallySymmetricPlanePartition.html