perpetual_harmonograph — GENERATIVE perpetual op

• Data kinds: none → rgb (an op determined by its arguments alone — it takes no image or data input)

• Call: import fullseye as fs; fs.ledger.perpetual_harmonograph(size: 'int' = 520, a: 'float' = 3.0, b: 'float' = 2.0, phase: 'float' = 0.35, decay: 'float' = 0.0018, turns: 'float' = 36.0) -> 'np.ndarray' (to call the implementation directly, import perpetual; perpetual.perpetual_harmonograph(size: 'int' = 520, a: 'float' = 3.0, b: 'float' = 2.0, phase: 'float' = 0.35, decay: 'float' = 0.0018, turns: 'float' = 36.0) -> 'np.ndarray'; from the registry, opsgenerative.get("perpetual_harmonograph"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

ハーモノグラフ ―― 減衰する 2 つの振り子が、閉じない曲線を描き続ける。

不変量: 減衰が 0 のとき、曲線が閉じるのは **`a/b` が有理数のとき**だけで、

そのときの周期は `2π/gcd` ちょうど。

Detailed usage guide

• generative_art family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• (none yet)

Ops the type connects to (they accept rgb as input)

—

Same category (perpetual)

perpetual_ten_print · perpetual_truchet · perpetual_elementary_ca · perpetual_langtons_ant · perpetual_chaos_game · perpetual_apollonian · perpetual_ifs_attractor · perpetual_flow_field

*Provenance: perpetual.py — GENERATIVE operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.