A plane partition whose solid Ferrers 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 Ferrers
diagrams fit inside an 
box. Macdonald gave a product representation
for the power series whose coefficients 
were the number of such partitions of 
.
Cyclically Symmetric Plane Partition
See also
Macdonald's Plane Partition Conjecture, Magog Triangle, Plane PartitionExplore with Wolfram|Alpha
References
Bressoud, D. and Propp, J. "How the Alternating Sign Matrix Conjecture was Solved." Not. Amer. Math. Soc. 46, 637-646.Referenced on Wolfram|Alpha
Cyclically Symmetric Plane PartitionCite this as:
Weisstein, Eric W. "Cyclically Symmetric Plane Partition." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CyclicallySymmetricPlanePartition.html