Mode note: this tool contains product and affine modes. Its zero-based affine expressions r+k*c and k*r+c describe different generators, rather than a faster implementation of the product formula.

The eight spatial transformations and legacy mode labels do not establish equivalence with the current eight canonical orientations; such a comparison requires a formula-by-formula match.

RL/LR Algorithmic Grids

Tabbed controls • Product math by default • Animate k or N • Filter & export PNG/GIF/WebM/MP4.

Controls N = 9 k = 9 Composite N k

Grid size N N = 9

Variant k k = 9

Math mode

Mode

Show numbers Tight cells Performance mode Total cells rendered: 243

Palette for Boards A & B

A/B Palette Swatches

Palette for Combined Board

Combined Palette Swatches

Value filter (applies to A/B)

Select values Mode Apply to A Apply to B

Export

Target Scale (×) PNG

Loop over Animation type Animation quality (×) Bitrate (Mbps)

k range → step Frame delay (ms)

N range → step Scale N frames to fill OFF = keep cell size constant across frames (centers smaller N). ON = fill frame each frame.

Displayed: Product/Affine (mod N, then +1). Spatial shifts/flip/transpose are visual.

Displayed: Raw A ∘ B mapped min→dark, max→light via Combined palette. Numbers follow A/B optimization rules.