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The Architecture of Silence

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Motion and Difference

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Successive projective Q steps lie on the golden hyperbolic axis.

Successive projective Q steps lie on the golden hyperbolic axis.

17 Jul 2026

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Construction

C₁ = [[0,−1],[1,0]], M_J = [[−1,1],[0,1]], Q = [[1,1],[1,0]]. On the upper half-plane Q acts by z ↦ 1 + 1/conj(z). Starting at z₀ = 1/2 + i√5/2, seven iterates are plotted on |z−1/2| = √5/2. The affine chart has a uniform drawing scale.

Scope

The exact upper-half-plane projective realization in the paper; point spacing is Euclidean on the page.

Source location

The carrier and the alternating factorization; Upper-half-plane realization

This plate is separate cover artwork. Drawing conventions and the result’s stated domain are recorded above.

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