This dome is fully interactive. Double-click or double-tap on any face to view its
description, add your own notes, and save them for your personal reference and practices.
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)