Celtic Knotwork Editor

Bezier point key

Corner cusp — arc–arc cusp on a 45° bisector.

U-turn cusp — arc–arc cusp on an axis-aligned bisector.

Apex — mid-strand apex of a 180° arc.

Arc continuation — two arcs with parallel chords (not a cusp).

Diag–arc joint — one diagonal piece meets one arc piece.

Diag–diag joint — two diagonal pieces meet.

Open boundary — end of an open strand.

Control points & handles — bezier handles and control-point dots.

On-curve anchor — a point the strand passes through (each curve segment joins here).

Control vertex — the off-curve handle each segment bends toward.

Handle — links each anchor to its control vertex.

Symmetry diagram key

2-fold rotation — order-2 centre (180°).

3-fold rotation — order-3 centre (120°).

4-fold rotation — order-4 centre (90°).

6-fold rotation — order-6 centre (60°).

Mirror axis — solid line; reflection.

Glide axis — dashed line; glide reflection.

Storage — / 5.0 MB

No pattern selected.

Open a knot from the Library on the left, or create a new one with the New button.

Form

Grid

Tile (cells)

Width 10 Height 10

Display

Across 1 Down 1

hexagons per side

Symmetry

Rotations

Mirrors

Glides

Group:

o

p1

Explain

Rotations

Mirrors

Glides

Group:

o

p1

Explain

Found Symmetries

Selected Orbifold	Strand layout	view
Found Orbifold of Selected Cell	Strand layout	view
Found Orbifold of Selected Cell	Image	view
Found Orbifold of Minimal Cell	Strand layout	view
Found Orbifold of Minimal Cell	Image	view

Found on selected cell Found on minimal cell

Each arrow points from a group to a richer symmetry the detector can find for it; read in reverse, the richer group's visible symmetry can drop along the same edge.

Unsupported (hex lattice)

Unsupported (square lattice)

Profile

Strand width

50%

Turn style (pointed → round)

0.20

Lattice

Hexagon spacing (1 = regular → 1.93 max coverage)

1.93

Crossing

Gap (% of strand width)

0%

Crossing shadow

Shadow length

0.40

Shadow strength

0.40

Strand colour

Vary colour between strands

Vary by…

Strand variation range

From: → To: ⓘ

Spread

Multi-band colours

Multi-band stripes (stripe the strand across its width)

✎

Background

Background colour

Shadow tint (colour of the shade)

264°

Region colour

Vary colour between regions

Region fill

Group by…

Region colour

Region variation range

From: → To: ⓘ

Spread

Regions in range

Symmetry-locked paint

Click a region on the canvas to paint it with the brush colour above.

Frame

Show frame

Frame width (% of cell width)

2.0%

Lock frame colour to background colour Frame colour

Transform colourway

These act on the active colourway — the one selected in the filmstrip under the canvas, and the highlighted column when the Palette below is showing all colourways. The others are never touched.

Spin · Mute · Brighten · Warmer · Cooler reveal a slider and apply that fraction of the effect. They always measure from where the colourway stood when you picked the transform, so they never compound and 0% restores it.

To paint and To heritage are one-shot: each colour is darkened step by step until it matches a real paint — any paint, or a Heritage one. A colour with no producible paint at any lightness snaps to the nearest instead.

Lock to paint gamut keeps every later result paint-matchable, re-snapping after each transform so the colourway can’t drift out of the range you can actually buy. It is remembered per colourway.

A colour you have held (🔒 in the Palette list below) is left alone by all of them — that is how you spin everything except the background.

Palette

Colourways. A knot can carry several — the filmstrip under the canvas selects which one you are looking at. Colours are per-colourway; everything else about the knot is shared.

This colourway is your palette: the active colourway’s colours, one row each, by the role they play — Ground, Key, Second, Fill 1… Each row gives the colour’s name and, where it applies, a gamut chip. Click a swatch to change it; click ○ to hold it against the transforms above. Show derivations adds a caption saying where each colour comes from. A colour nothing in the knot uses any more gets a dustbin, which clears it from every colourway.

All colourways is your parts list: one row per thing that takes a colour — Background, Frame, each band, each range anchor, each hand-set strand, each locked region — and one column per colourway, with the active one highlighted. Click any swatch to change it, including in a colourway that isn’t on screen. A colourway’s name makes it active; ▾ renames, duplicates or deletes it.

Two parts can share one colour, and then each gets its own row with a small = Background-style note on the second. That is not a duplicate: they are wired together, so changing either moves both. To give one its own colour, pick a new one on that row.

Strand and region colours appear as read-only strips, because they are computed from a range rather than picked. Change them on the Colour tab — the strand legend, or Ground.

Show derivations

Export

Each export definition is a fully configured way to produce an output file — modify the knot, then re-export it the same way in one click. An empty list is fine: you only define exports when you want them.

PROJECT

PNG width

0 selected

Show Bezier points

When ticked, every Bezier-segment endpoint is drawn as a small blue dot on top of the knot (and is included in the export).

Show symmetry diagram

Overlay the wallpaper-group symmetry elements (rotation centres, mirror and glide axes) on the knot.

Show breaks

Mark the inbetween dots (centres of cells of the crossing-point grid) as small grey circles, and connect each pair whose intervening orbit edge is in a delete or contract state with a thin grey dotted line.

Lock for session

10s

·

100%

📋 Clipboard empty

New colourway

0° 360° 180°

Keep in paint gamut

Move to project

New Knot

Form:

Grid:

Storage

Paste special

Edit Strand Profile

Cross-section

The strand is symmetrical. The left edge of the cross-section is the edge of the strand; the right edge is the middle of the strand.

Strand preview

Knot preview