Selection-Stitch Model · Supplementary visualization

The octahedral void within the
FCC cuboctahedral coordination cluster

FIG. S1

K=12 · K_2,2,2

L = √2

Cluster center FCC node

Cuboctahedron NN 12 verts

Oct vertex (in cluster) 5 verts

Antipode (out of cluster) at √2·L

Octahedral void center (1,0,0)

K_2,2,2 bond 12 edges

Antipodal non-bond 3 pairs

Cuboctahedron faces Cuboctahedron edges Origin radial bonds Octahedron faces K_2,2,2 bonds Antipodal non-bonds Trapped-center bonds Inscribed sphere

Cluster 13 nodes

Octahedron 6 verts · 12 edges

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Inscribed r_O 0.414·R ≈ 0.207·L

Volume ratio V_O/V_T = 3.13

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