Counterspin: A=7 x M=24, sweep 97.6 deg, spin +1, 126 chords, purple/moss. Opposed webbings in every gap with i stepping by 2, +7 purple then -7 moss, the two shears running against each other to weave a seven-fold turbine.

Moire5: A=5 x M=30, sweep 116.6 deg, spin +1, 150 chords, teal/gold. Cross-arm times-table (a,i) to (a+1, 2i mod 30) in every gap, teal for even i and gold for odd, nested rotating pentagons with a moire heart.

Hubbloom: A=8 x M=16, sweep 143.2 deg, spin +1, 112 chords, indigo/magenta. Hub-anchored fans (a,0) to (a+1,j) for j = 4..15 in indigo, then a magenta double tip ring, eight fans blooming from the center inside a doubled rim.

Binarygate: A=4 x M=30, sweep 96.8 deg, spin +1, 92 chords, black/vermilion. The first 30 fractional binary digits of e gate each index, a 1 bit throwing a black rung and a 0 bit hanging a vermilion within-arm envelope, twisted concentric quadrilaterals with red arcs riding the arms.

Fibweave: A=7 x M=21, sweep 100.1 deg, spin -1, 147 chords, purple/gold. Both Fibonacci shifts layered in every gap, +8 purple then +13 gold, the two rulings crossing into lace around a seven-point hub void.

Fernfrond: A=5 x M=26, sweep 121.6 deg, spin -1, 145 chords, moss/vermilion. A moss spine envelope (a,i) to (a,i+9) in every arm, then vermilion barbs (a,i) to (a+1,i+3) for even i, five feathered fronds inside a red web.

Octostar: A=8 x M=14, sweep 96.3 deg, spin +1, 96 chords, black/gold. Opposite-arm stars (a,i) to (a+4,i+3) colored by arm parity plus a gold tip ring, long diameters braiding through the hub into a galaxy core.

Pentapetal: A=5 x M=24, sweep 129.5 deg, spin +1, 120 chords, magenta/moss. Mirrored-index petals (a,i) to (a+1,23-i) in every gap, magenta where i < 12 and moss otherwise, dense lens petals weaving into a swirled star.

Heptaweb: A=7 x M=16, sweep 87.7 deg, spin -1, 91 chords, teal/vermilion. Ruled webbing (a,i) to (a+1,i+5) in every gap, then a hub ring and a tip ring in vermilion, a combed pinwheel inside a heptagon rim.

Quadloop: A=4 arms x M=28 holes, sweep 134.3 deg, spin -1, 100 chords, indigo/gold. Within-arm times-table hole i to hole 3i mod 28 in every arm, even arms indigo and odd arms gold, so each arm folds into its own cardioid-like crescent.

Weave: odd-index rung rings as warp with shift-7 webbing as weft, a basket-woven polygonal spiral. 102 chords, teal/gold, sweep 131.4 deg, spin -1.

Burst: each arm's outermost tip fans across the hub to the opposite arm, six long-chord star bursts crossing at the center. 54 chords, magenta/gold, sweep 79.2 deg, spin +1.

Duet: two interleaved triangle spirals, even arms chained (a,i)-(a+2,i+3) and odd arms (a,i)-(a+2,i-3), counter-shifted so the two colors swirl against each other. 102 chords, moss/vermilion, sweep 138.2 deg, spin -1.

Helix: within-arm skip-8 envelopes redraw each arm as a feathered blade, with sparse teal mirrored petals webbing the gaps. 102 chords, black/teal, sweep 86.2 deg, spin +1.

Galaxy: skip-an-arm webbing (a,i)-(a+2,i+6), long chords vaulting over the neighbor arm into an iris aperture. 84 chords, indigo/magenta, sweep 96.0 deg, spin -1.

Lace: mirrored-index petals (a,i)-(a+1,19-i) laid over three gold rung rings, a lens of purple net per gap. 78 chords, purple/gold, sweep 112.1 deg, spin +1.

Vortex3: cross-arm times-table i to 3i mod 20 against the next arm, color by arm parity, envelope interference twisted around the hub. 114 chords, teal/vermilion, sweep 129.7 deg, spin +1.

Bloom: each arm's innermost hole fans out to the next arm as a hub bloom, under two rim rung rings that close the flower. 66 chords, magenta/moss, sweep 130.8 deg, spin +1.

Fib: cross-arm webbing at Fibonacci shifts 3, 5, 8, color by shift parity, three ruled surfaces interleaved in every gap. 138 chords, indigo/gold, sweep 112.4 deg, spin -1.

Gatepi: the first 20 binary digits of pi gate each ring, a 1 bit threads the same-index rung ring and a 0 bit throws a shift-5 web chord instead. 108 chords, black/vermilion, sweep 95.7 deg, spin -1.

Moire: the times-table thrown across arms, (a,i)-(a+1,2i mod 28), envelope interference between neighboring arms. 162 chords, teal/magenta.

Fronds: a skip-3 spine along each arm plus backward barbs to the previous arm, six feathery fronds. 102 chords, black/gold.

Hexagram: even arms chained to even, odd to odd, two interlocking triangular spirals in opposing colors. 84 chords, indigo/vermilion.

Petals: mirrored-index chords (a,i)-(a+1,27-i) weave a lens petal into every gap. 84 chords, purple/gold.

Fans: each arm's inner end fans forward to the next arm, a gold bloom at the hub, while its outer tip fans back to the previous arm as an indigo outer web. 72 chords, gold/indigo.

Times2: the i to 2i mod 28 times-table folded along each arm, a cardioid envelope per arm. 162 chords, magenta/black.

Star: shift-6 chords to the opposite arm cross at the hub into a rotating star web. 48 chords, purple/vermilion.

Arms: two within-arm skip families, 9 and 14, hang nested offset envelopes inside each arm, the frame drawn purely from itself. 156 chords, black/vermilion.

Web: shift-8 cross-arm webbing fills each gap with a ruled surface, color by arm parity. 120 chords, teal/vermilion.

Rungs: same-index chords between adjacent arms at every other i, one twisted hexagonal ring per index, color by ring parity. 84 chords, indigo/gold.

plotset18_dragon: order-12 dragon curve, 4096 segments fit to the content box and drawn as just two continuous polylines, the first half indigo and the second orange, meeting at the fold point.

plotset17_hitomezashi: hitomezashi stitch field on a 19-cell grid, row and column dash offsets taken from the binary digits of pi and e. Horizontal stitches indigo, vertical red, each pass a pure one-direction dash field.

plotset16_superstack: superformula morph stack, 30 concentric outlines blending from a pinched m = 4 diamond to a soft m = 8 octagon while the radius grows. Inner 15 rings indigo, outer 15 magenta.

plotset15_spangraph: 80 dart-throw points, brute-force Delaunay triangulation as the orange stroke-1 web, and its Kruskal minimum spanning tree redrawn in teal stroke 3, so the heavy pass is the skeleton hiding inside the light one.

plotset14_lissagrid: 5x5 Lissajous grid where cell (i, j) traces frequencies (i+1, j+1) with a 90-degree phase, giving circles on the diagonal and tightening weaves off it. Checkerboard parity splits indigo and orange.

plotset13_flowfield: value-noise flow-field streamlines, about 55 Euler steps each from a jittered seed grid. Streamlines that drift net east are teal, westbound ones magenta, so the passes split into two interleaved feather systems.

plotset12_maze: 19x19 recursive-backtracker maze, walls as black stroke-1 segments merged into long runs, and the BFS solution from entrance to exit as a single red stroke-3 polyline through the cell centers.

plotset11_bricktruchet: Smith quarter-circle arc tiles on a brick-offset grid, odd rows shifted half a cell so arcs meet edge midpoints in a staggered bond instead of a square lattice. Row parity splits red and teal.

plotset10_tritruchet: triangle Truchet on an equilateral lattice, s = 34, each triangle drawing vertex arcs that join edge midpoints at two of its three corners with the skipped corner chosen at random. Upward triangles indigo, downward orange, chaining into a pearl-net of circles and waves.

plotset9_hexatruchet: hex Truchet on a flat-top hexagon grid, R = 16, each hexagon drawing three arcs centered on alternating vertices. The two rotation states are the color split, so each pass is one state class of the meander loops.

plotset8_ribbonarcs: Nijhoff's two-points-per-edge variant, each corner carrying two concentric arc rails at C/2 - 6 and C/2 + 6, forming continuous double-line ribbons across the whole grid. Inner rail teal, outer rail orange, 10x10 grid, stroke 1.

plotset7_chevrontri: the classic 1704 half-filled triangle tile translated to pen work, the filled half becoming 6 concentric chevron lines parallel to the diagonal and shrinking into a random corner. Checkerboard parity splits indigo and magenta, 10x10 grid, stroke 1.

plotset6_multiscale: multi-scale Truchet after Carlson's subdivision idea, a 6x6 grid where each cell recursively splits into quadrants, p = 0.45 and depth at most 2, every leaf getting Smith arcs at its own scale. Color encodes depth: indigo 70 px tiles, teal 35 px, orange 17.5 px.

plotset5_tenprint: 10 PRINT diagonal maze, 20x20 grid, stroke 3. Slash and backslash cells split the colors; collinear neighboring diagonals are merged into single long strokes so the pen draws runs, not 400 short dashes.

plotset4_smitharcs: Smith arc tiles, 12x12 grid, stroke 1. Two quarter arcs join edge midpoints; the two tile orientations are the color partition, so each pass is one orientation class.

Kuguri-zashi: a purple foundation of dashed verticals on every second column, then a vermilion thread zigzagging across five bands, passing under the foundation stitches rather than through the card. 210 stitches.

Boro: the card split into patches by recursive binary cuts, each patch filled with parallel running stitch in indigo, and every patch edged with a dashed moss outline. 200 stitches.

Komezashi: rice asterisks of eight unit arms on a 4-cell lattice, upright arms black and diagonal arms teal, with a teal cross dropped between every four. 232 stitches.

Seigaiha: blue-sea waves as three nested caps per scale on a staggered lattice, outer and inner rings teal and the middle ring gold. 256 stitches.

Tatewaku: three rising-steam channels, each a pair of moss verticals bulging outward and closing again, with a magenta diamond set inside every bulge. 160 stitches, the sparsest piece here.

Asanoha: vertex-touching diamonds in indigo with vermilion spokes from each centre to its four corners, the hemp-leaf radial burst. 400 stitches.

Ten-print diagonals: one diagonal stitch per cell, direction from a seeded coin flip, backslashes purple and slashes gold. 400 stitches, one per cell of the field.

Kogin-zashi modoco diamonds: counted rows of odd-length horizontal dashes, 1, 3, 5, 3, 1, stacked into diamonds on a 6-cell lattice, with a second lattice offset by three cells in both directions worked in vermilion. 234 stitches.

Dilute hitomezashi: the same construction run on only every second row and column, so every visited hole has degree two and the field opens into loops instead of a solid maze. 220 stitches, phases from the binary digits of sqrt(2) minus 1 and of ln 2.

Hitomezashi phase maze: the full field, every row dashed from a phase given by the binary digits of pi, every column from those of e, rows indigo and columns gold. 420 stitches, the densest driver the budget allows.

Fukin sampler: one mini-pattern per quadrant - ten-print diagonals, seigaiha wave caps, komezashi crosses, masu squares - with divider dashes on the center lines. 79 stitches, black/teal.

Kogin hem borders: chained small diamonds in three horizontal bands with running-stitch separator rows. 70 stitches.

Hanabishi flower diamonds: five motifs, each a black outer diamond with magenta cross arms and an inner petal diamond. 80 stitches.

Raimon lightning spirals: four rectangular spirals rotated 90 degrees per quadrant, diagonal pairs in black and gold around a center diamond. 60 stitches.

Kuguri-zashi threaded sashiko: a moss foundation of dash rows with magenta zigzag columns weaving through them. 75 stitches.

Boro mending field: five overlapping patches, each with its own running-stitch direction, color alternating indigo/vermilion per patch. 51 stitches.

Hitomezashi maze driven by the Thue-Morse sequence; rows teal, columns vermilion. 110 stitches.

Tatewaku rising steam: five undulating vertical lines with alternating mirror phase, swelling apart and kissing at shared holes. 50 stitches, purple/gold.

Nanbu hishizashi: four radius-2 diamond outlines in teal, each filled with counted horizontal rows in magenta. 52 stitches.

Kogin-zashi modoco: a solid counted diamond of stacked 2-cell horizontal dashes inside a gold outline diamond with four pendant corner diamonds. 57 stitches, indigo/gold.

Kawari kikkozashi tortoiseshell: staggered bands of stitched hexagons clipped at the card edges, color by band parity. 48 stitches.

Sayagata key fret: nine manji pinwheels, rotation direction alternating checkerboard-wise and encoded as the color bit. 42 stitches.

Matsukawabishi pine bark diamond: a radius-4 outer diamond with superimposed vertical and horizontal chains of smaller diamonds. 32 stitches.

Amime fishing net: three diamond-mesh bands with the middle band half-dropped, color by band parity. 48 stitches.

Igeta well curb: five interlocking hash motifs in quincunx layout, the vermilion center threaded first so it owns the shared arms. 32 stitches.

Kakinohanazashi persimmon flower: offset 2x2 blocks of horizontal dashes in checkerboard phases, color by phase. 36 stitches.

Kagome basket weave: a tri-axial mesh of vermilion horizontals and black unit-diagonal chains in both directions. 96 stitches.

Yabane arrow feathers: four vertical fletching bands of chevrons, alternate bands pointing up and down, color by band. 64 stitches.

Shippo seven treasures: interlocking radius-2 diamond rings at 13 staggered centers, color by column parity. 42 stitches.

Asanoha hemp leaf: 16 eight-spoke star bursts on alternating grid points; axis spokes black, diagonal spokes vermilion. 128 stitches.

Seigaiha waves: staggered rows of wide humps with a nested vermilion inner cap. 60 stitches.

Dan-tsunagi linked steps: parallel staircases of alternating horizontal and vertical stitches, color alternating per staircase. 67 stitches.

Uroko fish scales: 8 bands of triangles, odd bands offset half a base, color by band parity. 84 stitches.

Komezashi rice stitch: 2-cell cross arms in black plus diagonal arms in vermilion at alternating interior points. 100 stitches.

Hitomezashi phase maze with row and column phase bits from the word SASHIKO in 5-bit letters; rows black, columns vermilion. 72 stitches.

Masuzashi measuring boxes: four concentric square outlines in unit stitches, color alternating by ring. 80 stitches.

Yamagata mountains: eight chevron bands, each one cell tall as in stitched cloth, color alternating by band. 64 stitches.

Jujizashi cross stitch: two-cell horizontal and vertical arms crossing at every other interior hole, color alternating along the diagonals. 50 stitches.

Diagonal one-stitch field: one diagonal per cell, direction chosen by 64 binary digits of pi, color by direction. 64 stitches.

Hitomezashi maze on the 9 x 9 interior grid: each row and column gets alternating one-cell dashes with phase set by a binary digit of pi; the maze figures are emergent, not drawn. 72 stitches.

Yamagata: eight zigzag mountain chains alternating between opposite sides, short wavelengths black, long vermilion, crossing into hishi diamonds. 48 chords.

Hitomezashi: grid lines and diagonal rulings each kept or skipped by successive binary digits of pi - sparse by design, since the pattern is the presence/absence decision. 19 chords.

Shippo tsunagi: concentric treasure rings from constant-offset chord families at offsets 4, 8, and 12. 72 chords.

Seigaiha: overlapping wave arcs from corner parabola envelopes at three scales; color encodes scale parity. 76 chords.

Asanoha: radial hemp-leaf burst - a vermilion near-diameter envelope forming the tight central star, with black diameter spokes laid on top. 48 chords.

Diamond in square: slate-blue envelope arcs at every vertex with gold vertex fans and corner stitching.

Star in ring: a black {45/11} ring tour tuned so its web clears the five-point star, with vermilion tip fans and the star outline.

Crossed ellipses, horizontal outer and vertical inner: a teal offset envelope with magenta twisted spokes and an inner tour.

Pentagon wreath with inner rose: an indigo {30/7} offset tour with orange corner fans and an inner {20/7} tour.

Circle and lens: a vesica held inside a star ring, a teal {40/13} star tour with magenta lens tip fans and rungs.

Annulus twist: outer circle 44 plus inner circle 22, a teal star polygon {44/13} with magenta twisted spokes and an inner nephroid.

Circle in square: square 32 holes plus circle 28, an indigo twisted cross-curve envelope with an orange cardioid on the inner circle.

Lens and star, homage to a photographed board: square 32 holes plus astroid 24, blue corner envelopes forming the lens with gold notch stitching, tip fans and corner fans.

Twelve anchor fans of 8 chords each to the antipodal arc on 72 holes, colored by anchor parity.

A nephroid k to 3k layered over a cardioid k to 2k on 66 holes.

Complete graph K16 on every third hole of a 48-hole circle, colored by step-distance parity.

The 5x times table on 72 holes, k to 5k mod 72, colored by wrap parity.

Two layered star tours on 56 holes, {56/13} in black under {56/25} in vermilion.

Arc swirl trefoil: three tapered blades with sharp rim tips at 12, 4 and 8 o clock, each strung between a rim arc and an inner arc, indigo at the tip and vermilion toward the center.

Arc swirl trio: three vanes 120 degrees apart wrapping into a near-continuous swirl ring, each fan changing color midway from purple to orange.

Arc swirl duet: two vanes rotated 180 degrees apart, each a ruled swirl strung between an outer and an inner arc rail, tangent to a central envelope circle; crimson and dark teal.

Crescent weave: a true lune opening to the right, two families shifted 5 holes in opposite directions braiding the moon, densest at its waist.

Feathered vortex wreath: three concentric arcs with the gap at 12 o clock, two same-handed spiral bands feathering the annulus into a vortex.

Quatrefoil: four semicircular petal arcs around a central square, each shared corner stitched into a parabola fan, weaving the petals and leaving a crisp square window in the middle.

Vesica leaf: two circular arcs crossing like a leaf, black ribs joining straight across, then a red crossing family laid over them, densest at the waist.

Wave cascade: a W of four line segments, the three interior corners stitched into parabolas alternating valley, peak, valley.

Open band: two concentric 300-degree arcs with the gap at 12 o clock, two counter-spirals shifted 7 holes weaving an annular braid.

Asterisk rosette: three lines crossing at the center make six arms, each sector stitched into a parabola, six parabolas forming a snowflake rosette.

Triangle stitch: three lines forming a triangle, each corner stitched into a parabola, the three parabolas leaving a round window in the middle.

Eye weave: two shallow arcs facing each other, two families shifted 5 holes in opposite directions braiding the lens between them.

Sunburst: a semicircular arc over its own baseline, a blue crossing family sweeping through the center and a red curtain family hanging near-vertical.

Harp weave: two parallel horizontal lines with two families of diagonals shifted 6 holes in opposite directions, crossing into a woven diamond lattice.

Cross aster: two perpendicular lines through the center make four arms, each quadrant stitched into a parabola, four parabolas meeting in a four-pointed star.

Corner parabola: the classic curve stitch on two perpendicular lines, chord k joining Ak to Bk so the chords envelope a parabola tangent to both arms.

Whirl and rim on 72: a {24/11} star threaded on every third hole in violet, with a dodecagon rim on top in orange.

Hex ladder weave on 72: six ladders of 8 parallel chords, blue and pink alternating, the rotated bundles weaving a hexagonal lattice.

Astroid on the odd holes of 72: hole k to (72 - 3k) mod 72, black and red alternating around the rim, the chords enveloping a four-cusp astroid.

Gear-tooth wreath on 72: one closed walk alternating a long step +13 in olive and a short step +8 in violet, returning home after exactly 48 chords with an open center.

Pinwheel whirl on 72: 12 anchors each send four one-sided chords, crimson and dark teal by parity; all chords lean the same way, so the piece spins.

Six petal fans on 72: anchors at every 12th hole fan 8 chords to the arc around their antipode, green and purple alternating per anchor.

Twelve rotating triangles on 72: triangle t joins holes t, t+24, t+48, even t blue and odd t red, rotating through a 60-degree sweep into a two-tone wreath.

Two mystic hexagons on 72: a complete graph on six holes in teal, then the same rose rotated half a step in magenta on top, a Star-of-David weave with 12-fold color symmetry.

Sparse nephroid on 72: the 3x table on odd holes, indigo and orange by wrap parity.

Half-density cardioid on 72 holes: hole k to 2k mod 72 for odd k only, black before the product wraps and vermilion after; the cardioid envelope survives at half density.

Interleaved parity stars on 60: even holes step ahead by 17 in blue, odd holes by 23 in red, two half-density stars of different pitch braided into a crown.

Trefoil giant fans on 60: three anchors each fan 16 chords to the opposite arc, dark teal inside and vermilion outside, three overlapping fans drawing a large layered triangle.

Double star whirl on 40: star polygon {40/19} in olive underneath forming the tight inner whirl, {40/11} in violet on top as the spiky outer ring.

Eighteen interlocking triangles on 54: triangle t joins holes t, t+18, t+36, blue and pink by parity, a slowly rotating triangle filling a broad two-tone wreath.

Double mystic rose on 16: two interleaved complete graphs, evens in violet and odds in orange, two K8 roses rotated half a step against each other.

Fibonacci braided star on 55: a single closed tour stepping +21 mod 55, a golden-angle approximation, chords alternating black and red into a dense whirl rosette with a crisp circular void.

Pinwheel whirl on 64: 16 anchors each send three one-sided chords, green and purple by anchor parity; all chords lean the same way, so the piece spins rather than mirrors.

Cogwheel zigzag on 60: one closed walk alternating a long step +23 in crimson and a short step +11 in blue, a gear-toothed wreath with an open center.

Hex weave on 60: six ladders of 8 parallel chords, teal and magenta alternating, the six rotated bundles weaving a hexagon-and-triangle lattice.

Astroid envelope on 60: every hole k except three sends one chord to (60 - 3k) mod 60, even k indigo and odd k orange, the chords enveloping a four-cusp astroid inside a woven globe.

Six petal fans on 48 holes: anchors at holes 0, 8, 16, 24, 32, 40 each fan to the 8 holes around their antipode, petals alternating black and vermilion by anchor parity.

Tumbling blocks: an isometric cube field split by rhombus orientation class, one orientation per pen.

Chladni contours: nodal-line contours of two plate modes, mode (3,5) in indigo and mode (2,7) in orange.

Whirl grid: 4 x 4 rotating-square cells with a checkerboard color split and opposite rotation directions, plotted as one pen pass per color.

Pursuit-curve squares (the mice problem) in a 6 x 6 grid, colored by rotation direction.

Metaballs with scanline hatching inside a marching-squares outline.

Topographic contour map of layered Perlin terrain via marching squares, 12 levels banded in four colors.

Molnar-style grid of jittered nested squares, disorder growing downward.

Greedy circle packing with stroked circles colored by size class.

Maurer rose with n=6, d=71: a straight-line walk over the smooth rose curve.

Lorenz attractor x-z projection: one continuous 40000-step line in three color runs.

Bracketed L-system plant grown for 5 iterations, colored by branch depth.

Recursive-backtracker maze of 30 x 30 cells, walls in black with the BFS solution path in red.

Voronoi cell edges over 110 relaxed seeds, with the seed points dotted in red.

Interference: 70 horizontal lines displaced by two radial wave sources with distance decay.

Dragon curve: 13 paper foldings, 8192 segments in one polyline, first half teal and second half red.

Ridge lines: 44 joy-division ridges from enveloped Perlin terrain with true hidden-line removal.

Superformula stack: 40 outlines morphing between two superformula parameter sets, radius 34 to 420 px.

Spirograph: three nested epitrochoids at different scales, each closed exactly.

Harmonograph: two damped 4-pendulum traces overlaid in blue and red, near-rational frequency ratios giving the drifting lobes.

Hitomezashi: a 44 x 44 stitch grid from random row and column bits, horizontal dashes blue, vertical orange.

Hilbert curve: order-64 space-filling curve of 4096 points in one continuous route, split into 8 color runs.

Noise rings: 59 concentric closed rings radially displaced by Perlin noise, wobble growing with radius, every third ring red.

Flow field: 240 streamlines traced through a Perlin angle field, colored by starting quadrant, 1 px lines.

Perlin flow field streamlines: 200 walkers step along perlin2 angles, hue driven by the field.