Structural stability in the model is decided by a convex hull constraint on the resultant center of mass¶

Claim · All claims
Evidence · 1 study · design r1 · q1
Currency · newest study 2026 · not yet checked against its sources · not reviewed by a person · recheck by 2029: tool and model accuracy changes quickly

Subclaims¶

q1 i? A sub-stack of blocks is stable if and only if its resultant center of mass lies within the horizontal bounds of its supporting cells. → Abhishek Jaiswal 2026

Evidence¶

Abhishek Jaiswal 2026¶

Abhishek Jaiswal, Zoe Falomir. (2026). A Qualitative Model for Reasoning about Path and Support. arXiv preprint. https://arxiv.org/abs/2609.20349 doi:10.48550/arxiv.2609.20349

q1 · i? · design · r1

Analytical stability formalization (Section 5): the solver aggregates loads and moments recursively from top to bottom of each stack, computes an effective COM per sub-stack, and applies the convex hull criterion; for bridges, a lever rule distributes weight between the two outermost supports. This is a printed derivation, not an empirical test.

"A sub-stack of blocks is considered stable if, and only if, its resultant center of mass is contained within the bounds of its support geometry"

Discussion¶

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