An integral already has a sense of movement: a long spine and two turning ends. In the studio mark, that spine becomes a mast, a sail takes its windward edge, and a hull brings the drawing back to the water.
Three pieces, one relationship
The mark is built from three filled outlines: mast, sail, and hull. The integral spine has exact half-turn symmetry. The boat around it is intentionally asymmetric, so the whole mark does not inherit that symmetry.
The sail and stern follow an offset of the spine. The channel beside the mast is a geometric relationship, not a gap guessed independently for each piece. The engraved plate places the three original outlines against a set of construction guides.
A half-turn in the spine / A different relationship in the whole vessel
Fair curves carry the load
A small drawing can hide a surprising amount of engineering. Tangent continuity keeps the curve from kinking. Real fillets soften junctions. The sail foot and deck share a curved offset so they feel like parts of the same structure.
The illustration reuses the generated mark’s outlines. Its guide rails and annotations help us read the pieces as a construction, while the original geometry preserves the relationship that makes them one vessel.
Three filled outlines / The space between matters
The smallest version is a different test
At a large size, tiny channels and rounded junctions are easy to admire. At favicon size, they must survive a small grid of pixels. The existing geometry checks and small-size proofs are part of the design, because a mark needs to work where it is actually used.
There is still room to refine optical centring and dedicated small-size versions. A mathematical relationship can be exact while its visual balance still needs judgment.
Generated geometry / Inspected at small scale
Sea, ship, and mathematics meet here in a single drawing. The construction is part of what the drawing means.