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MorphologiumVeridianum

Catmull-Clark Subdivision ↔ Mycelial Hyphal Optimization

Recursive polygonal cage refinement into smooth B-spline manifolds mirrors the biological resource-distribution branching of fungal mycelium networks.

SOURCE ANCHOR NODEMorphologium

Catmull-Clark Subdivision

Recursive smoothing scheme converging to continuous C² bicubic limit surfaces.

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TARGET ANCHOR NODEVeridianum

Mycelial Network Routing

Decentralized bio-computational graph optimization mimicking Steiner minimum spanning trees.

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MATHEMATICAL & STRUCTURAL HOMOLOGY

Discrete Laplacian smoothing operator $\Delta x_i = \sum_{j \in N(i)} w_{ij}(x_j - x_i)$ operating over arbitrary graph meshes.

EPISTEMIC RESOLUTION:
Digital animators smoothing a 3D creature and forest floor mycelial networks are optimizing the same spatial flux equations.
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