All forms
digitallineart currently draws from 205 forms. Every work on the wall comes from one of them: a rule for placing shapes, followed by chance in their number, position, size and colour. Here are all of them, grouped, each with its newest work still on view — 780 works hang on the wall right now.
Basic shapes (32)
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Arcs
Open segments of circles, cut at random start and end angles, that curve without ever closing.
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Arrows
Arrows with a straight shaft and a triangular head, pointing in random directions, some with a head at both ends.
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Circles
Circle outlines in many sizes, either single rings or sets of nested concentric circles, placed at random.
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Crescents
Crescent moons cut from two overlapping circles, in varying widths and orientations.
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Crosses
Plus-shaped crosses of two equal bars meeting at their midpoints, varied in size and stroke width.
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Decagons
Regular ten-sided polygons, outlined at random sizes and angles across the whole canvas.
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Deltoids
Kite-shaped quadrilaterals with two pairs of equal adjacent sides, in random sizes and rotations.
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Diamonds
Diamonds made from squares turned by 45 degrees, outlined in random sizes.
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Dodecagons
Regular twelve-sided polygons, close to circles but still clearly made of straight edges.
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Eight-Point Stars
Eight-pointed star outlines with deep notches, drawn in varying sizes and random rotations.
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Ellipses
Ellipses of random width, height and tilt, from near-circles to long and thin ovals.
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Five-Point Stars
Five-pointed star outlines with deep notches, drawn in varying sizes and random rotations.
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Hearts
Nested heart outlines drawn from the classic parametric heart curve, in varying sizes with a slight tilt.
1 on view
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Hendecagons
Regular eleven-sided polygons, a figure that cannot be constructed with compass and straightedge alone.
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Heptagons
Regular seven-sided polygons, each turned to its own angle and drawn in its own colour.
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Hexagons
Regular six-sided polygons, the shape of honeycomb cells, drawn at random sizes and angles.
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Leaves
Simple leaf outlines, pointed at both ends, scattered at random sizes and angles.
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Lines
Straight lines of varying length, angle and stroke width, each drawn in a colour of its own.
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Nonagons
Regular nine-sided polygons whose many corners already start to round them towards a circle.
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Octagons
Regular eight-sided polygons, familiar from stop signs, in varying sizes and rotations.
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Parallelograms
Slanted four-sided shapes with two pairs of parallel sides, sheared to random angles.
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Pentagons
Regular five-sided polygons in varying sizes and rotations, outlined in thin coloured strokes.
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Rectangles
Rectangles of random proportions and rotation, layered so that their outlines cross and overlap.
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Rhombuses
Four equal sides in a slanted diamond, drawn at random sizes, angles and proportions.
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Rounded Rectangles
Rectangles with rounded corners, in random proportions, corner radii and rotations.
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Seven-Point Stars
Seven-pointed star outlines with deep notches, drawn in varying sizes and random rotations.
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Six-Point Stars
Six-pointed star outlines with deep notches, drawn in varying sizes and random rotations.
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Squares
Regular four-sided polygons, turned to random angles and scattered across the canvas in many sizes.
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Teardrops
Teardrop outlines with one round end and one pointed tip, turned in every direction.
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Trapeziums
Four-sided shapes with one pair of parallel sides, drawn in varying proportions, sizes and rotations.
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Triangle Variants
Isosceles and right-angled triangles in random sizes and rotations, mixed on one canvas.
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Triangles
Three-sided polygons of random size and rotation, the simplest closed shape straight lines can make.
Geometry (19)
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Delaunay Triangulation
Delaunay triangulations, joining random points into triangles so that no point lies inside any circumcircle.
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Flower of Life
Overlapping circles of equal size arranged in a sixfold pattern, the ancient Flower of Life figure.
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Grids
Square grids of horizontal and vertical lines that divide a square area into equal cells.
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Hexagrid
A hexagonal patch of regular honeycomb cells packed edge to edge around a central cell.
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Hyperbolic Tilings
Geodesic arcs of the Poincaré disc, circular arcs meeting the rim at right angles, in the manner of hyperbolic tilings.
1 on view
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Interlocking Circles
Groups of equal circle outlines spaced evenly around a common centre, overlapping like linked rings.
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Interlocking Lines
Pairs of wavy lines in opposite phase that cross each other repeatedly, like the strands of a braid.
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Kagome Lattice
The kagome lattice, a weave of triangles and hexagons named after a traditional Japanese basket pattern.
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Kaleidoscopes
Kaleidoscopic figures in which one random zigzag line is rotated and mirrored around a centre.
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Mesh
Random networks of points joined by straight lines, from sparse webs to dense tangles.
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Metatron Cubes
Metatron's Cube, thirteen circles joined by straight lines, a figure from sacred geometry.
1 on view
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Spirolaterals
Spirolaterals, turtle paths of repeated segment lengths and fixed turns that close into symmetric figures.
1 on view
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Star Polygons
Star polygons such as {7/3}, drawn by joining every k-th corner of a regular polygon.
None on view right now
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String Art
String art, straight threads stretched between points on a frame whose crossings form curves.
1 on view
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Sunburst
Straight rays fanning out from a common centre, alternating between long and short, like a stylised sun.
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Superellipses
Superellipses, shapes between ellipse and rectangle set by a single exponent, as in Piet Hein's designs.
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Triangle Grid
A lattice of equilateral triangles, the simplest regular tiling of the plane with three-sided cells.
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Vesica Piscis
Vesica piscis, two equal circles each passing through the other's centre, extended level by level into a flower of circles.
None on view right now
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Voronoi Diagrams
Voronoi diagrams, which divide a region into cells around random seed points, each cell nearest its own seed.
Curves (31)
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Astroids
Astroids, four-cusped star curves traced inside a circle four times the size of the rolling one.
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Butterfly Curves
Butterfly curves, Temple Fay's polar curve whose loops look like a butterfly's wings.
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Cardioids
Cardioids, heart-shaped curves with a single cusp, sometimes slightly dented or looped.
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Cassini Ovals
Cassini ovals, curves on which the product of the distances to two fixed points stays constant.
1 on view
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Catenaries
Catenaries, the curve a chain or rope makes when it hangs freely between two points.
1 on view
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Circle Involutes
Circle involutes, the curve traced by the end of a string unwound from a circle.
1 on view
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Conic Sections
Conic sections: a double cone cut by a tilted plane, giving an ellipse, parabola or hyperbola.
1 on view
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Curves
Smooth Bézier curves sweeping across the canvas in long, open strokes.
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Devil's Curves
Devil's curves, quartic curves whose crossing loops and arcs change shape with a single parameter.
1 on view
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Euler Spirals
Euler spirals, curves whose curvature grows evenly with their length, as used in road and railway design.
1 on view
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Fermat Spirals
Fermat spirals, whose arms grow with the square root of the angle, as in sunflower heads.
1 on view
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Folium Curves
Folia of Descartes, leaf-shaped loops with two arms trailing away from the loop.
1 on view
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Golden Spirals
Golden spirals, logarithmic spirals that grow by the golden ratio with every quarter turn.
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Harmonographs
Harmonograph drawings, decaying pendulum curves that spiral inwards as their swings slowly die away.
1 on view
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Lemniscates
Lemniscates, figure-of-eight curves like the infinity sign, in varying sizes and tilts.
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Limaçons
Limaçons, snail-shaped polar curves that range from dimpled to looped, drawn as nested layers.
1 on view
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Lissajous
Lissajous figures, the looping curves traced when two perpendicular oscillations combine.
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Nephroids
Nephroids, kidney-shaped curves traced by a point on a circle rolling around a circle twice its size.
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Orbits
Concentric elliptical orbits around a centre, like a diagram of planets and their paths.
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Paths
Winding paths of connected segments that wander across the canvas without closing.
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Polylines
Open chains of straight segments that change direction at every joint.
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Rose Curves
Rose curves, polar curves whose petals come from the cosine of a multiplied angle.
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Spirals
Spirals winding outwards from their centres, in varying tightness, size and direction.
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Superformula Shapes
Shapes from Johan Gielis' superformula, which turns a few parameters into stars, flowers and polygons.
1 on view
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Theodorus Spirals
Spirals of Theodorus, built from right triangles whose hypotenuses grow as square roots.
1 on view
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Tricuspoids
Tricuspoids, also called deltoid curves, with three cusps traced by a circle rolling inside another.
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Trochoids
Epitrochoids and hypotrochoids, Spirograph-style curves drawn by a pen on a circle rolling outside or inside another.
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Vortex
Spirals whose stroke width swells and thins along the curve, like a twisted cord winding into a vortex.
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Waves
Sine waves running across the canvas, varied in amplitude, wavelength and phase.
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Witch of Agnesi
The witch of Agnesi, a bell-shaped curve named after the mathematician Maria Gaetana Agnesi.
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Zigzags
Zigzag lines that alternate sharply between two sides of a straight axis, in small and large steps.
Fractals (19)
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Apollonian Gaskets
Apollonian gaskets, circles packed into the gaps between three touching circles, again and again.
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Barnsley Ferns
Barnsley ferns, an iterated function system whose four simple maps draw a lifelike fern.
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Cantor Dust
Cantor sets, stacked rows of line segments in which the middle third is removed at every level.
1 on view
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Circle Fractals
Circle fractals, in which every circle carries two to four smaller circles, repeated over several generations.
1 on view
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Dragon Curves
Dragon curves, the path produced by folding a strip of paper in half again and again.
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H-Trees
H-trees, H shapes branching at the tips of smaller H shapes, as used in chip clock wiring.
1 on view
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Hilbert Curves
Hilbert curves, space-filling paths that visit every cell of a grid without crossing themselves.
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Julia Sets
Contour lines of Julia sets, drawn from how quickly points escape under a complex quadratic map.
1 on view
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Koch Curves
Koch curves, made by replacing every straight segment with a pointed bump, again and again.
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L-System Trees
Recursive trees whose branches split into two at slightly varying angles and shrink with each level.
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Lévy Curves
Lévy C curves, fractals built by replacing every segment with two at right angles.
1 on view
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Minkowski Sausages
Minkowski sausages, fractal outlines made by replacing every segment with an eight-part square wave.
1 on view
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Pythagoras Trees
Pythagoras trees, squares branching into two smaller squares on the sides of a right triangle.
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Sierpinski Arrowheads
Sierpinski arrowhead curves, a single winding line that approaches the Sierpinski triangle.
1 on view
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Sierpinski Carpets
Sierpinski carpets, squares divided into nine with the centre removed, repeated in every part.
1 on view
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Sierpinski Triangles
Sierpinski triangles, a triangle with its centre removed, repeated in every remaining part.
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Strange Attractors
Strange attractors, Lorenz and Rössler trajectories projected from 3D, chaotic yet never leaving their bounded shape.
1 on view
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T-Squares
T-squares, fractals of squares centred on each outer corner of a larger square.
1 on view
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Vicsek Fractals
Vicsek fractals, five squares in a cross or X pattern, repeated inside each of their own squares.
1 on view
Generative systems (16)
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Boid Trails
Boid trails, the paths of simulated flocking birds that steer by separation, alignment and cohesion.
1 on view
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Circle Packings
Circle packings, circles grown from random seeds until they touch, without overlapping.
1 on view
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Contours
Nested, irregular closed rings sharing one wavy profile, like contour lines around a hill.
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Craquelure
Craquelure, the fine crack network of old paint, drawn as slightly wobbly outlines of Voronoi cells.
1 on view
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Displaced Lines
Parallel horizontal lines pushed aside by invisible circles, so that they bulge around hidden obstacles.
1 on view
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DLA Growth
Diffusion-limited aggregation, random walkers that stick to a growing cluster and form coral-like branches.
1 on view
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Field Lines
Field lines around point charges, curving from one pole to another like iron filings.
1 on view
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Flow Fields
Flow fields, lines that follow the directions of a smooth noise field like currents in water.
1 on view
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Hachures
Hachures, short strokes pointing downhill across a noise-generated relief, as drawn on old maps.
1 on view
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Labyrinths
Labyrinths drawn as one winding corridor, a square spiral running from the outer edge to the centre.
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Mondrian Compositions
Compositions of horizontal and vertical lines dividing a rectangle, after Piet Mondrian.
1 on view
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Op-Art Waves
Op-art waves, dense parallel lines bent into waves that seem to move on the canvas.
1 on view
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Substrate Cracks
Substrate cracks, lines that grow straight and branch at right angles until they meet another line.
1 on view
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Triangle Subdivisions
Triangles split again and again into smaller triangles, dense in some places and open in others.
1 on view
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Warped Rings
Concentric rings bent out of round by noise, like ripples in a disturbed pond.
1 on view
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WFC Tiles
Wave function collapse grids of line tiles, straights, corners and junctions, chosen so that connections match.
1 on view
Patterns and ornament (32)
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Arabesques
Arabesques, scrolling tendrils that curl inwards, repeated and mirrored around a centre in the spirit of Islamic ornament.
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Argyle
Argyle, diamonds in a diagonal checkerboard crossed by thin diagonal lines, as on knitted socks.
1 on view
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Art Deco Fans
Art Deco fans, concentric semicircles with radiating lines, overlapped in rows in the style of the 1920s.
1 on view
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Asanoha
Asanoha, the Japanese hemp-leaf pattern of six-pointed stars built from triangles.
1 on view
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Basket Weave
Basket weave, pairs of rectangles alternating between horizontal and vertical like woven strips.
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Cairo Tilings
Cairo tilings of pentagons, named after the street paving found in Cairo.
1 on view
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Celtic Knots
Knot-like rosettes of looping, self-crossing curves with many lobes, in the spirit of Celtic knotwork.
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Girih
Girih-style patterns, interlaced stars and connecting strapwork on a triangular lattice, inspired by Islamic geometric ornament.
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Gothic Tracery
Gothic tracery, the stone ornament of pointed arches, circles and foils in cathedral windows.
1 on view
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Guilloché
Guilloché rosettes, nested rings of regular wavy curves, as engraved on banknotes and watch dials.
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Hatchings
Hatching and cross-hatching, sets of parallel strokes layered at different angles.
1 on view
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Herringbone
Herringbone, a grid of V-shaped chevrons that alternate direction, echoing parquet floors and tweed.
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Houndstooth
Houndstooth, the broken check of four-pointed shapes known from woven wool fabrics.
1 on view
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Kumiko
Kumiko-style hexagonal lattices with long diagonals and a smaller inner hexagon in every cell.
1 on view
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Mandalas
Mandala-style figures of radial spokes with small circles at concentric radii, symmetric around a centre.
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Meanders
Meanders, the Greek key pattern of a single line folding back on itself at right angles.
1 on view
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Moiré
Moiré patterns, two sets of concentric circles with offset centres whose interference creates shifting shapes.
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Ogee Patterns
Ogee patterns, rows of S-curved arches that join into onion-shaped repeating cells.
1 on view
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Paisleys
Paisley motifs, nested teardrops with a spiral tail and a scatter of small dots in the innermost one.
None on view right now
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Penrose Suns
Penrose suns, five golden kites meeting at one point with fivefold symmetry, the starting patch of a Penrose tiling.
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Pinwheel Tiles
Pinwheel motifs, asymmetric triangular blades arranged around a centre, inspired by the Pinwheel tiling.
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Quatrefoils
Quatrefoils, four-lobed outlines made from semicircles on the sides of a square, repeated as a lattice.
1 on view
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Rangoli
Rangoli-style flower patterns, leaf-shaped petals repeated symmetrically around a centre.
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Running Bond
Running bond, the standard brick bond in which each row is offset by half a brick.
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Seigaiha
Seigaiha, the Japanese pattern of overlapping concentric half-circles that stands for ocean waves.
1 on view
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Stripes
Bands of parallel stripes in varying widths, spacings and angles.
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Tachiwaku
Tachiwaku, the Japanese pattern of rising steam drawn as pairs of wavy vertical lines.
1 on view
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Tartan
Tartan, crossing bands of horizontal and vertical stripes in the manner of Scottish plaid.
1 on view
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Truchet Tiles
Truchet tiles, square tiles with quarter-circle arcs in one of two orientations that join into meandering lines.
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Uroko
Uroko, the Japanese scale pattern of interlocking triangles in alternating rows.
1 on view
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Versailles Parquet
Versailles parquet, square panels of interlaced diagonal and straight boards from the French palace.
1 on view
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Yagasane
Yagasane, the Japanese arrow-feather pattern of stacked chevrons in alternating columns.
1 on view
3D and perspective (15)
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Geodesic Domes
Geodesic domes, spheres approximated by a network of triangles, as designed by Buckminster Fuller.
1 on view
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Hyperboloids
Hyperboloids, curved surfaces made entirely of straight lines, like cooling towers.
1 on view
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Impossible Figures
Impossible figures like the Penrose triangle, drawn so they look solid yet could never be built.
1 on view
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Isometric Cubes
Isometric cubes in a hexagonal arrangement, each drawn as three rhombi, as in the tumbling blocks pattern.
1 on view
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Klein Bottles
Klein bottles, closed surfaces without an inside or an outside, drawn as wireframes.
1 on view
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Loxodromes
Loxodromes, rhumb lines that spiral from pole to pole across a sphere at a constant angle.
1 on view
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Möbius Strips
Möbius strips, bands with a half twist that have only one side and one edge.
1 on view
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Perspective Grids
Perspective grids, floors of lines that converge on a vanishing point at the horizon.
1 on view
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Platonic Solids
Wireframes of the five Platonic solids and the tesseract, projected in perspective at random rotations.
1 on view
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Saddle Surfaces
Saddle surfaces, hyperbolic paraboloids that curve up in one direction and down in the other.
1 on view
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Star Polyhedra
Star polyhedra, an icosahedron, dodecahedron or octahedron with a spike raised on every face, drawn as wireframes.
1 on view
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Tunnels
Tunnels of nested rings or frames that recede in perspective towards a vanishing point.
1 on view
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Wireframe Landscapes
Wireframe landscapes, grids of hills and valleys seen in perspective, as in early computer graphics.
1 on view
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Wireframe Spheres
Wireframe spheres of latitude and longitude lines, turned to random tilts.
1 on view
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Wireframe Tori
Wireframe tori, doughnut-shaped surfaces drawn as a net of rings.
1 on view
Science and technology (11)
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Chladni Figures
Chladni figures, the node lines of a vibrating plate where scattered sand gathers.
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Circuit Traces
Circuit traces, paths that turn only at right angles, like routing on a printed circuit board.
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Clock Faces
Clock faces with hour marks and hands, each set to a random time.
1 on view
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Gears
Toothed gear wheel outlines with a hub circle, in varying sizes and tooth counts.
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Metro Maps
Metro maps of lines that run at 45 and 90 degrees between their stations.
None on view right now
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Molecules
Molecule diagrams of fused hexagonal rings with alternating double bonds and short side chains, like structural formulae.
1 on view
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Network Graphs
Network graphs of nodes and connecting edges, like diagrams of social or computer networks.
1 on view
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Radar Sweep
Radar displays of concentric range rings crossed by a few sweep lines at random angles.
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Sound Waves
Sound-wave bars of random height, mirrored on both sides of a horizontal axis like an equaliser display.
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Staves
Musical staves of five lines, scattered with notes like a page of a score.
1 on view
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Water Interference
Interference patterns of wavy concentric rings around two offset centres, like overlapping ripples on water.
Nature (20)
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Bamboo
Bamboo stalks with jointed segments and slender leaves, in the manner of ink painting.
None on view right now
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Constellations
Constellations, stars of different sizes joined by thin lines into star figures.
None on view right now
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Dandelions
Dandelion seed heads, fine radiating stalks with small tufts at their ends.
None on view right now
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Double Helix
Two intertwined helices, the twisted-ladder shape known from the structure of DNA.
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Feathers
Feathers, a central shaft with rows of fine barbs on each side.
None on view right now
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Fingerprints
Fingerprint patterns of whorls and loops made of closely spaced ridges, with occasional small breaks.
None on view right now
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Ginkgo Leaves
Ginkgo leaves, fan-shaped with fine veins radiating from the stalk.
None on view right now
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Grass Tufts
Tufts of grass, bundles of curved blades rising from a common base.
None on view right now
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Hokusai Waves
Breaking waves with curling crests, after Hokusai's Great Wave off Kanagawa.
None on view right now
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Jellyfish
Jellyfish with domed bells and long tentacles trailing and drifting below them.
None on view right now
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Leaf Veins
Leaf veins, a midrib with branching side veins inside a leaf outline.
None on view right now
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Lightning Bolts
Lightning bolts, jagged branching discharges that split as they strike downwards.
None on view right now
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Nautilus Shells
Nautilus shells, logarithmic spirals divided into chambers that grow outwards.
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Phyllotaxis
Phyllotaxis, points set at the golden angle the way seeds sit in a sunflower head.
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Root Systems
Root systems grown by space colonisation, branching downwards towards scattered attractor points.
1 on view
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Sand Ripples
Sand ripples, wavy parallel ridges left by wind or water on a dune or shore.
None on view right now
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Sea Urchins
Sea urchins, round shells bristling with long radiating spines in every direction.
None on view right now
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Snowflakes
Snowflakes with sixfold symmetry, branches repeated around a centre like ice crystals.
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Spider Webs
Spider webs of radial threads crossed by a spiral of capture silk.
None on view right now
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Tree Rings
Tree rings, irregular concentric growth lines like the cross-section of a trunk.
None on view right now
Symbols (10)
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Auspicious Clouds
Auspicious clouds, the curling, scrolled cloud motif of traditional Chinese ornament.
None on view right now
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Chartres Labyrinths
Chartres-style labyrinths, concentric circuits with alternating gaps leading to a centre, after the cathedral floor.
None on view right now
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Compass Rose
Compass roses, rays of three different lengths marking main directions and diagonals, as on old maps.
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Cross Variants
Cross variants: the saltire, outline cross, cross pattee and Celtic cross, drawn in many sizes.
None on view right now
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Dharma Wheels
Dharma wheels, the eight-spoked wheel that stands for the teaching of the Buddha.
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Endless Knots
Endless-knot-style lattices of closed rounded bands, simplified from the Buddhist symbol and without true over-under weaving.
None on view right now
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Sri Yantras
Sri Yantras, the Hindu diagram of nine interlocking triangles around a central point.
1 on view
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Triquetras
Triquetras, three overlapping leaf-shaped arcs formed from three circles, a symbol from Celtic art.
None on view right now
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Triskelions
Triskelions, three spiral arms radiating from a centre at 120 degrees to one another.
None on view right now
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Yin-Yang
Yin-yang symbols, a circle divided by an S-curve into two halves, each holding a dot of the other.
