Explicit real support fans for the handwritten geometric point set. The polynomial decompositions are proved by ring; their signs by positivity. Each cone carries one fixed triple on both endpoints. No Boolean checker is used.

noncomputable def ConwaySoifer.Simplified.profile2q2Point (s : ℝ) : Fin 4 → Point

The four-point configuration for profile 2, owner 2, parameterized by the minimal section.

Equations

• ConwaySoifer.Simplified.profile2q2Point s = ![(1, 1), (1, 3 / 4 * s), (1 + -1 / 2 * s, 1), (1 / 2 + -1 * s, 1 / 2)]

theorem ConwaySoifer.Simplified.profile2q2_obstruction {Q : EquilateralTriangle} {s : ℝ} (hs0 : 0 < s) (hs : s ≤ 1 / 10) (hq : 0 < Q.side) (hpts : ∀ (i : Fin 4), profile2q2Point s i ∈ Q.carrier) : 1 ≤ Q.side