No. 0001 — Cabinet of Tidal Geometries

sora.garden

a collection of forms from the threshold of sea and sky

소라 · shell · 殼 · 空 · sora · sky · r = a e^(bθ)
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II.

The Collection

Plates I–XII. Specimens from a calcified garden — geometries derived from a single equation, varied through parameter and rotation. Strokes drawn at one half-millimetre on warm parchment.

PL. I
logarithmic spiral, golden ratio b = 0.30635 — φ-progression 7 quarter-turns visible
PL. II
nautilus cross-section 9 chambers, drift = 0.42
PL. III
scallop valve, radial array 15 ribs, span 240°
PL. IV
cowrie profile, 9 rotations aperture: longitudinal slit major axis 156mm
PL. V
concentric lamellae 14 visible rings, Δr=6mm
PL. VI
sinistral coiling, 7 whorls left-handed gastropod form apex offset −12°
PL. VII
radiolarian lattice 16-fold symmetry, ∅ 0.4mm
PL. VIII
tidal sine, double crest period 2π, amplitude 0.45
PL. IX
cone form, terebrid family apical angle 32°, h=180mm 8 transverse arcs
PL. X
polar rose, 8 petal r = 80·cos(4θ)
PL. XI
tide pool, lateral section surface 40mm, basin 120mm 3 specimens in situ
PL. XII
r = a · ebθ a = 1.000   b = 0.30635 θ ∈ [0, 6π] growth ratio φ per quarter-turn
key equation, all plates parametric variations: 11
III.

The Depth

A gastropod's shell, viewed from above, is a spiral. A hurricane, viewed from above, is a spiral. The same equation — r = a ebθ — generates both.

The shell calcifies one chamber at a time, each new wall a quarter-turn wider than the last. The storm draws air upward at the same proportion. The garden is the place where these two geometries meet.

Korean 소라 (sora) names the hollow form a sea creature builds. Japanese 空 (sora) names the hollow form above the horizon. Sora.garden is the brief surface where ocean reflects the sky — where shell becomes cloud, and cloud becomes shell.

— sora.garden —

a cabinet of tidal geometries · MMXXVI · plates I–XII