An interactive fractal explorer comparing the CCF Set (Eₙ₊₁ = Eₙ² + Eₙ₋₁) with the CCF Null Cone Set (Eₙ₊₁ = Eₙ² − Eₙ₋₁). Both use the same recurrence with one difference: the sign of the memory term. The CCF Set (β=+1) produces focused directional rays — the Light-Matter Recurrence, modeling χ² nonlinearity with cavity feedback. The CCF Null Cone Set (β=−1) produces divergent explosive rays — the Light-Space Recurrence, corresponding to the spatial discretization of Maxwell’s wave equation in a χ² medium. Testing all values of β from −2 to +2 confirms that only β=±1 produce ray geometry. The sign determines whether light is captured (positive, cavity, focused beam) or free (negative, open space, expansion). Both fractals exhibit 6-fold angular structure from the phase-doubling property of E². Built in vanilla JavaScript with Canvas 2D rendering, pixel-level iteration, scroll/pinch zoom, and drag panning. Part of the Captain Cookie Face Universe (CCFU) — Theory #23.​​​​​​​​​​​​​​​​

‎״Set E₀ = 0, E₁ = c. Iterate. Draw. Eₙ₊₁ = Eₙ² + Eₙ₋₁״ From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"Pleasure without stability is a drug. Stability without pleasure is a prison.​​​​​​​​​​​​​​​​" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"λ² = λ + 1" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

An interactive 2D simulator comparing three rectangular constructions under iterative square-cutting (Gauss map) with different scaling parameters (λ = √2, φ, π). The visualization demonstrates that only λ = φ produces a geometrically self-similar rectangle where the continued fraction ratio returns to itself at every depth. All three panels use identical computation — no hard-coding — with uniform floating-point error correction across all known constants. The closure of φ emerges from pure arithmetic: φ − 1 = 1/φ, the unique fixed point of the Gauss map among real numbers greater than 1. Built in vanilla JavaScript with Canvas 2D rendering, synchronized animation, and real-time ratio tracking. Part of the Captain Cookie Face Universe (CCFU) framework deriving geometric structure from C₂ algebraic symmetry.

"The paved road is safer, but not necessarily right — it’s just paved.​​​​​​​​​​​​​​​​" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"63.43° = Π(ln φ)" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"Ω_Λ/Ω_m = √5​​​​​​​​​​​​​​​​" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

‎״∀t > t₀ : D(t) = 0״ From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"To exist is to execute." From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"A good populist controls the narrative they create — and the people within it." From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

‎״Stable Peace = Coherence ∧ Iteration ∧ ¬Collision״ From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"Stable Peace is Coherence with no collision under iteration." From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"90°→ (β₁ = 1/√5)→ 63.43°" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"tanh(ln φ) = 1/√5​​​​​​​​​​​​​​​​" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"Energy mastery sets the ceiling of a civilization’s possibilities, while institutions, knowledge, and narrative determine what is actually done beneath that ceiling.​​​​​​​​​​​​​​​​" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"Pleasure = Satisfaction × Waiting" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

‎״Let ℍ²₁ := {(r,t) : t² − r² = 1, t > 0} Then (√φ, φ) ∈ ℍ²₁ ⇔ φ²−φ = 1 ⇔ φ = (1+√5)/2״ From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"Life = C₂(Matter, Energy)" From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.

"Life is matter that remembers light." From Captain Cookie Face — First Drafts, a digital aphorism & visual-evolution art experiment. Registered in Safe Creative as an original literary and visual work.