Reconstruct the unpublished 10% criterion entry

Determine the sixteen-ply entry for the 10% row in the published table of realisable stacking sequences by reconstructing the membrane-stiffness criterion used in the source thesis.

Background

The paper completes four of five previously uncomputed combinatorial entries in a published table at sixteen plies. The remaining entry concerns a 10% criterion that is not a simple ply-count threshold but a membrane-stiffness condition involving the interpretation of the source thesis.

The authors explain that the thesis does not specify the membrane-stiffness criterion sufficiently to reproduce the published 10% row. Consequently, the sixteen-ply value remains unresolved within the paper, although the authors derive different values under one plausible interpretation of the criterion.

References

The fifth, the $10\%$ row, rests on a reading of a membrane-stiffness criterion that the thesis does not spell out and we cannot reconstruct.

— Counting and Sampling Manufacturable Stacking Sequences  (2610.23146 - Langiu et al., 16 Oct 2026) in Section 2.5, “Completion of a published table” (Section \ref{sec:completing})