GART

Guilloché

Nested rosettes interfere in an intricate engraved medallion. Phase-shifted radial waves create delicate security-print linework.

Guilloché: Nested rosettes interfere in an intricate engraved medallion. Phase-shifted radial waves create delicate security-print linework.Guilloché: Nested rosettes interfere in an intricate engraved medallion. Phase-shifted radial waves create delicate security-print linework.

About this pattern

Radial harmonic engraving · after Breguet's guilloché dials

Guilloché, parametric equation, drawn by GART: Nested rosettes interfere in an intricate engraved medallion. Phase-shifted radial waves create delicate security-print linework.
Guilloché · CC BY 4.0

An original parametric line study. Density controls the number of traces, form changes their geometry, and turn and tilt choose the projection. Motion follows a closed twenty-four-second cycle; the selected frame is preserved in saved drawings and exports.

TopicsGuilloché (opens in a new tab)Parametric equation (opens in a new tab)Rotational symmetry (opens in a new tab)

Behind the mathematics

Abraham-Louis Breguet1747–1823

Guilloché watch dials

Swiss-French watchmaker who brought engine-turned guilloché to watch dials, where interlaced engraved waves catch the light.