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.

Hexagonal tessellation: a hex lattice whose polygon size and hue fall off with distance from the center.

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