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 Partition## Explore 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 Partition## Cite this as:

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