Initial Probability
Live Statistics
Step
0
Alive (count₁)
—
Alive fraction
—
tan²+tan output
—
Kc reference
0.44069
Phase
—
Key Identities
tan(π/8)
√2 − 1
tanh(Kc)
√2 − 1
gd(2Kc)
π/4
s = tan(π/8)
tanh(Kc)
Coupling: g/8 > (1−p)·p
Quadratic: p² − p + 1/8 = 0
Roots: cos²(π/8) , sin²(π/8)
Projection: tan(π/8) = tanh(Kc)