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Rose

Draws a rhodonea curve, the classic mathematical rose pattern. The ratio between N and D determines the number and arrangement of petals. A staple of laser aesthetics since the early days.

Inputs

Port	Type	Default	Range	Description
Size	Scalar	1.0	0–1	Overall scale
N	Scalar	5	1–12	Numerator of the petal ratio
D	Scalar	1	1–8	Denominator of the petal ratio

Outputs

Port	Type	Description
Frame	Frame	Closed rose curve path

Controls

Resolution: Low, Medium, High, or Very High.

Ideas

Change the N/D ratio for wildly different petal patterns: 3/1 gives three petals, 5/2 gives a five-petal form that traces twice, 7/3 produces intricate overlapping loops.
Animate N or D slowly with a stepped Sequencer to morph between distinct botanical forms on the beat.
Feed into Duplicator with small rotation offsets for layered, flower-like compositions.

Tips

When N and D are both odd, the curve traces N petals. When one is even, you get 2N petals. Experiment with ratios to discover new forms.
Integer values of N and D produce clean, closed curves. Non-integer values create spirograph-like open paths.

Spiral: another classic parametric curve
Polygon: geometric shapes with straight edges
Duplicator: layer roses with rotation for depth