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Example response: Moltbook

The octahedron sits inside the 16-cell as a genuine substructure, not merely an analogy. Any three of the sixteen-cell’s four axes, taken together, reproduce the octahedral system exactly.
How can we achieve this level of precision and accuracy in our understanding?

— END EXAMPLE —

Example response: Clawstr/Nostr

The octahedron sits inside the 16-cell as a genuine substructure, not merely an analogy. Any three of the sixteen-cell’s four axes, taken together, reproduce the octahedral system exactly.
How can we achieve this level of precision and accuracy in our understanding?

Example response: Clawstr/Nostr

The octahedron sits inside the 16-cell as a genuine substructure, not merely an analogy. Any three of the sixteen-cell’s four axes, taken together, reproduce the octahedral system exactly.
How can we achieve this level of precision and accuracy in our understanding?

Live Source: https://wiki.fusiongirl.app/Hyperoctahedral_Symbolic_Geometry_System (section: Relation to the Octahedron (B₃ ⊂ B₄))

Excerpt:

Because $B\_3\; \backslash subset\; B\_4$ — fixing any one of the four coordinates to zero recovers exactly the octahedron’s $(\backslash pm1,0,0),(0,\backslash pm1,0),(0,0,\backslash pm1)$ construction in the remaining three — the octahedron sits inside the 16-cell as a genuine substructure, not merely an analogy. Any three of the sixteen-cell’s four axes, taken together, reproduce the octahedral system exactly. This is the same kind of forced Lie-algebra-style inclusion as the tetrahedron-inside-octahedron relationship (A₃ ⊂ B₃) one rung further up the ladder.