The Evidence Lens

The evidence lens / study 01

Drag to explore

Beneath the surface · the mathematics

iGrowth spiralC(q) = R e^k(q−Θ) (cos φ, sin φ, 0)φ = φ₀ + Θ − q · k = 0.15 · Θ = 4.65π · R = 1.58
iiMoving frameN = (cos φ − k sin φ, sin φ + k cos φ) / √(1+k²)T = (k cos φ + sin φ, k sin φ − cos φ) / √(1+k²)
iiiShell surfaceS(q,u) = C + w cos u N + d sin u ẑw = 0.435 r(1 + 0.014 ρ) · d = 0.34 r(1 + 0.009 ρ)
ivGrowth ribsρ(q) = ((1 + cos(2π · 46q/Θ)) / 2)⁶46 ribs, each a sixth-power crest on the tube
vChamber wallsb(s) = −0.145 r (1 − s²) T28 cupped septa at q_k = 0.55 + (Θ − 1.71) k/27
viEven samplingψ_i = i π(3 − √5), s_i = √((i + ½)/n)the golden angle spreads equal-area points across every disk
viiScan planey(t) = 1.15 sin(0.48 t)the teal band sweeping the specimen

Drawn by p′ = P V M p, a 37° perspective · largest dimension normalised to 3

Look beneath the surface

Reveal the chambers. Select a marker to explore the questions a future result could carry.