Antipodal Support-Tangent Compression: From 2n − 2 Vertex Degrees of Freedom to Low-Dimensional Sequences and the Continuum Limit of the Broadworm

Observes that in the n = 4, 5, 6 candidates each side edge is tangent to the unit circle about the opposite endpoint; inside this 'support-tangent class' the 2n − 2 vertex dimensions collapse to 1 (even n: d) or 2 (odd n: d, x), giving closed forms L₂ₘ(d), new candidates t₇ ≈ 0.438754439 and t₈ ≈ 0.438816161, the continuum limit L = 2.2782916 (β = 1/L) and an O(m⁻²) residual law (coefficient about 0.00104122).