perpetual_apollonian — 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_apollonian(depth: 'int' = 6, size: 'int' = 520) -> 'np.ndarray' (to call the implementation directly, import perpetual; perpetual.perpetual_apollonian(depth: 'int' = 6, size: 'int' = 520) -> 'np.ndarray'; from the registry, opsgenerative.get("perpetual_apollonian"))

Usage

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

アポロニウスの円詰め ―― 隙間に接する円を入れ続ける(終わりが無い)。

不変量: 互いに接する 4 円の曲率が デカルトの円定理

`(Σk)² = 2Σk² を厳密に満たす。:func:perpetual_identities` で確かめられる。

★塗りの明るさは曲率(= 1/半径)。定理が試している量をそのまま色にして

あるので、絵の濃淡が主張と同じものを指している。

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)

• poc_illusions_and_perpetual_drawing — py -3.11 examples/poc_illusions_and_perpetual_drawing.py

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

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Same category (perpetual)

perpetual_ten_print · perpetual_truchet · perpetual_elementary_ca · perpetual_langtons_ant · perpetual_chaos_game · perpetual_harmonograph · 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.