WHITE PAPER #01 · #05 · SPATIAL GENESIS · TOPOLOGY-FIRST

POLYHEDRAL
TOPOLOGY
EXPLORER

Velsanet defines network space through five polyhedral primitives. T₄ and H₆ operate as autonomous zones — single E2E only, no intelligence assigned. From O₈ upward, intelligence is granted and parallel E2E becomes possible. Topology exists before coordinates.

AUTONOMOUS ZONE
Single E2E only · No parallel E2E · No intelligence assigned
T₄ · Node_4 H₆ · Node_6
INTELLIGENCE ZONE
Intelligence assigned · Parallel E2E enabled · PAI / AAI / AsAI
O₈ · Node_8 D₁₂ · Node_12 I₂₀ · Node_20
T₄
TETRAHEDRON
Autonomous
H₆
HEXAHEDRON
Autonomous
O₈
OCTAHEDRON
Intel. Start
D₁₂
DODECAHEDRON
Intelligence
I₂₀
ICOSAHEDRON
Intelligence
THE FIVE POLYHEDRA AS NETWORK GRAMMAR
T₄
Access
Emergence
Origin
Autonomous · Single E2E
H₆
RAN Microcell
Node_5 / 6 / 7
Channel Align
Autonomous · Single E2E
INTELLIGENCE BOUNDARY
O₈
PAI Host
City Layer
E2E Domain
Intel. Start · Parallel E2E
D₁₂
AAI Mediation
Expansion
Region
Intel. · Parallel E2E
I₂₀
Global Balance
Governance
AsAI · Sovereign
Intel. · Parallel E2E
STRUCTURAL COMPARISON
POLYHEDRON NODE FACES FACE PAIRS SWITCHING SURFACES (×8) E2E MODE STRUCTURAL ROLE AI LAYER COLOR
T₄ Node_4 ×4
Node_5 ↑H6
4 6 48 Single E2E
No Parallel
Access emergence · signal origin PAI seed Cyan
H₆ Node_5 ↕T4
Node_6 ×4
Node_7 ↕O8
6 15 120 Single E2E
No Parallel
RAN Microcell · wired-wireless convergence Autonomous Zone
(No AI assigned)
Yellow
O₈ Node_7 ↓H6
Node_8 ×6
Node_10 ↑D12
8 28 224 Parallel E2E ✓
Intel. Start
Local parallel E2E domain · PAI host PAI (Personal AI) Blue
D₁₂ Node_10 ↓O8
Node_12 ×10
Node_16 ↑I20
12 66 528 Parallel E2E ✓ Mediation · expansion control AAI (Agent AI) Green
I₂₀ Node_16 ↓D12
Node_20 ×18
20 190 1,520 Parallel E2E ✓ Global balance · governance AsAI (Assistant AI) Violet