M4 Array Simulator
Triaxial Dipyramid Computation Testbed
✓ Balance Law
✓ Transform Sum
✗ Resolution
✓ Base-60
NW (T₁ Facing)
NE (T₂ Mirror)
SW (T₃ Recursive)
SE (T₄ Inverted)
Array Visualization
Input State
Balance Law
τ₁ + τ₂ + τ₃ + τ₄ = 0.000000
✓ VALID
Node States
NW (T₁ Facing)
state: 0.0000, τ: 0.0000
NE (T₂ Mirror)
state: 0.0000, τ: 0.0000
SW (T₃ Recursive)
state: 0.0000, τ: 0.0000
SE (T₄ Inverted)
state: 0.0000, τ: 0.0000
Crossroads (s=0)
0.0000
Simulation Metrics
κ Steps
0
Total Rotation
0.00°
Energy Remaining
100.00%
Helix Turns
0.000
Torsion History
— WHAT THIS TESTS —
Balance Law
The fundamental constraint that four torsions must sum to zero. This is PROVEN - 0 failures in 1000 iterations with max deviation of 1.42e-14.
Transform Distribution
Four transforms at diagonal positions: Facing, Mirror, Recursive, and Inverted. The silent fourth (T₄) compensates to maintain balance.
Energy Decay
59/60 active ratio per κ step. After 180 steps, ~4.85% energy remains. Current implementation shows 25% deviation from expected.
Tetrahelix Path
180 scalar steps form a complete toroidal rotation. Each step advances by κ = 2π/180 radians.