Lorenzo Guerrini

1. 1Emanation · shell 3 of 6 — every shell 3 : 2 the radius of the one before, measured on the drawing
2. 2Multiplicity · 1 → 6 → 24 → 72 → 216 → 432 → 864 points, each still joined to the source by its own path
3. 3Return · the light running back along every path, the outermost shells first — a poetic reading, not the treatise

1. 1Superformula · a seven-lobed flower as a volume (m = 7, n1 = 0.2, n2 = n3 = 1.7)
2. 2Gray–Scott · a labyrinth (feed 0.029, kill 0.057) on a 256 × 256 grid that wraps around
3. 3Vogel · 1000 points at the golden angle (137.508°), joined to their 21st and 34th neighbours: 21 spirals one way, 34 the other

1. 1Figure A · nine principles and the 36 chords that join each one to every other
2. 2The fourth figure · setting 10 of 28 (middle ring 2 steps, inner ring 3 beyond it): chamber 5 aligns F · H · B, read as principles
3. 3The third figure · the 36 pairs of the nine letters, each a chamber in which a middle is sought between two principles

1. 1The line · divided by compass in a mean and two extremes: (a + b) / a = a / b = φ = (1 + √5) / 2, both ratios measured on the construction
2. 2Plate XXI · icosahedron, solid: golden ratio φ, intrinsic — its twelve corners lie on three golden rectangles (1 : φ)
3. 3Plate X · cuboctahedron, “vacuum”: no golden ratio — its relation is √2 (the edge of the cube that holds it to its own edge; the cube is not drawn)

1. 1Square plate (2, 3, +) · grains gathered on the nodal lines
2. 2Square plate (7, 3, +) · a dense figure, found by the grains alone
3. 3Square plate (10, 7, −) · cells and crossings of the same two cosine patterns
4. 4Ideal circular membrane (1, 2) · one nodal diameter and one circle; frequency ≈ 2.917 × the fundamental (j₁,₂ / j₀,₁, exact for the ideal model)

The plate is an approximation and is heard through a declared sonification of n and m (110 Hz × n, × m), not a physical frequency; the membrane and the string sound their own frequency ratios, transposed onto 110 Hz.