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Layer Legend:
Top Layer (Fruition)
Middle Layer (Focus)
Bottom Layer (Foundations)
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NO CENTER VERTEX of any pentagon touches ANY POINT of any other pentagon
Each pentagon center ONLY connects to its own 5 perimeter vertices
Pentagon centers are completely isolated from other pentagons
Pentagons connect only through their perimeter vertices
Edge Types:
SHORT edges (90mm exact):
Connect pentagon centers to their own perimeter (hub edges)
Connect perimeter vertices within same pentagon
Angular constraint: All SHORT edges have equal angle relative to the
z-plane (horizontal) - ensures uniform pentagon cone shape
LONG edges (106mm exact):
Connect perimeter vertices between different pentagons
Never connect to any center vertex
Pentagon Structure:
1 center vertex → connects ONLY to own 5 perimeter vertices (5 SHORT edges)
5 perimeter vertices → form pentagon outline
5 perimeter edges → connect perimeter vertices (SHORT or LONG)
Shape constraint: Each pentagon's center vertex is further from the
hemisphere's nominal center point than any of its perimeter vertices (prevents
distortion/inversion)
Connection Pattern:
Top Pentagon (Apex):
Center at apex (0, radius, 0)
5 perimeter vertices around it
All internal edges are SHORT
Bottom Ring (5 Pentagons):
Each has isolated center vertex
Centers ONLY connect to own perimeter (SHORT edges)