System: parametric_curve

Structural

Parameter	Default	Range	What it does	Group
sym	5	superformula 1 – 24; inert on maurer_rose, lissajous, hypotrochoid, harmonograph	How many lobes the figure repeats around its centre, as a whole number.	shape
palette_steps	0	0 – 16	Quantizes the palette into this many flat bands; 0 leaves it continuous.	colour
mirror_order	1	1 – 12	Repeats the geometry this many times around the centre; 1 draws it once.	shape

Modal

Parameter	Default	Range	What it does	Group
n	6	maurer_rose 1 – 24; lissajous 1 – 12; hypotrochoid -8 – 8; harmonograph 1 – 12; inert on superformula	The figure’s first number, read as a real value per family: the rose’s petal number, the Lissajous and harmonograph x frequency, the hypotrochoid’s signed radius ratio.	shape, main
d	71	maurer_rose 1 – 360; lissajous 1 – 12; hypotrochoid 1 – 24; superformula 0.25 – 4; harmonograph 1 – 12	The figure’s second number, per family: the rose’s sampling step in degrees, the Lissajous and harmonograph y frequency, the hypotrochoid’s cusp count, the superformula’s lobe skew.	shape, main
phase	0	maurer_rose 0 – 1; lissajous 0 – 1; hypotrochoid 0 – 1; harmonograph 0 – 1; inert on superformula	Offsets where the figure starts: inside the rose’s sine, between the Lissajous and harmonograph axes, and at the hypotrochoid’s pen.	motion
radial_offset	0	maurer_rose -1 – 1; inert on lissajous, hypotrochoid, superformula, harmonograph	Pushes every point out from the centre, opening the figure into a ring.	shape
pen	1	hypotrochoid 0 – 2; inert on maurer_rose, lissajous, superformula, harmonograph	How far the tracing point sits from the rolling circle’s centre, in rolling radii: 1 draws cusps, less rounds them off, more throws them into loops.	shape
sharpness	1	superformula 0.1 – 20; inert on maurer_rose, lissajous, hypotrochoid, harmonograph	How pointed the lobes are: low draws a spiky star, high rounds the figure toward a circle.	shape
lobe	1	superformula 0.1 – 10; inert on maurer_rose, lissajous, hypotrochoid, harmonograph	How the lobes swell between their tips: low pinches them thin, high fills them into a polygon.	shape
decay	0.1	harmonograph 0 – 0.5; inert on maurer_rose, lissajous, hypotrochoid, superformula	How fast the pendulums die away along the trace: 0 closes the figure, more spirals it inward.	light
samples	361	16 – 2048	How many points the curve is drawn from; fewer reads as a polygon. Truncated, so a rise adds its next point on arrival.	shape
thickness	2	0.5 – 12	Stroke width in pixels at the render target, before softness widens the falloff.	shape, main
hue	0.6	0 – 1	Where this scene reads from the palette, as a coordinate along it rather than a colour.	colour, main
hue_spread	0	0 – 1	How far along the palette the colour travels from one end of the figure to the other.	colour
saturation	1	0 – 1	Pulls the scene’s colour toward grey; 0 is fully desaturated, 1 is the palette’s own.	colour
palette_mix	0	0 – 1	Crossfades from the preset’s palette to its second one; 0 is the first, 1 the second.	colour
palette_contour	0	0 – 1	Draws a line at each band edge when the palette is stepped; 0 draws none.	colour
spin	0.1	-2 – 2	Turns per second the whole figure rotates by.	motion, main
scale	0.9	0.1 – 2	Size of the figure within the frame, before the shared zoom is applied.	shape
brightness	1	0 – 2	The scene’s overall light level, multiplying what it draws before the composite.	light, main
glow	1	0 – 4	Brightness of the halo around each stroke, on top of the stroke itself.	light, main
softness	0.25	0 – 1	How far a stroke’s edge fades out; 0 is a hard line, 1 a wide glow with no core.	light
stroke_blend	0	0 – 1	Moves the stroke from additive light toward opaque paint, so crossings stop brightening.	light
draw_progress	1	0 – 1	How much of the figure is drawn, from its start; below 1 the line is still arriving.	motion
zoom	1	0.25 – 4	Scales the whole scene about its centre; above 1 fills more of the frame.	shape
pan_x	0		Slides the whole scene sideways, in the scene’s own units rather than pixels.	shape
pan_y	0		Slides the whole scene vertically, in the scene’s own units rather than pixels.	shape
mirror_reflect	0	0 – 1	Alternates the repeats into mirror images rather than plain rotations.	shape