This deposit provides a minimal existence proof and technical specification for a closed curve that appears trefoil-like under planar projection while remaining topologically unknotted in ℝ³. The construction utilizes a monotone traversal over two full laps (t ∈ [0, 4π]), employing a two-lap radial modulation defined byr(t) = r₀ + a cos(1.5t + π).The model demonstrates that knot-like visual complexity can emerge from two-lap indexing and depth ordering—defined byz(t) = b sin(t / 2)—rather than from topological entanglement. Canonical parameters are provided to achieve a stable “midground balance,” suitable for visual identity design and diagrammatic use. This record contains two complementary documents describing a single construction: (1) Main Paper "Existence of an Unknotted Closed Curve with Trefoil-Like Projection via Two-Lap Radial Modulation and Depth-Ordering" This paper establishes the theoretical motivation, the two-phase depth separation lemma, and the existence proof. (2) Canonical Primitive / Design Note "Unknotted Trefoil-like Projection (Canonical Definition)" This supplementary document fixes the minimal parametric form, phase ordering, and projection rules for implementation and archival reproducibility.