Random Radial Rosette Pattern Generator

Description

Construct a rotationally symmetric radial motif with shared base jitter and sampled coordinate bounds; rendering is external.

Procedural artwork expresses a visual idea through coordinates, repeated motifs, colors, or explicit placement constraints. A coordinate plan can be checked and reproduced before rendering, while physical material behavior and fabrication require separate information.

Construct a rotationally symmetric radial motif with shared base jitter and sampled coordinate bounds; rendering is external.

When to use this tool

Use this generator to create reproducible radial rosette pattern cases from the supplied model or bank. Inspect the returned evidence before using cases in a test or exercise.

How to use the tool and how it works

Supply radii, order, jitter in the field shapes below. Set seed when you need an explicit replay.
Run the tool and correct any input error. For generated controls, distinguish a successful fixture containing an invalid case from failure to generate the fixture.
Read baseRadii, points, bounds. Use the conventions below and keep answer-bearing fields separate when presenting an exercise.

Jitter each base radius once, then rotate the same radial motif through every sector of the requested order, interleaving motif points by their within-sector index. Return perturbed radii, all points, and sampled point bounds.^[1]

Input field	Meaning and units	Accepted input
radii	Radii	Required. Array of Finite number; strictly above 0.; minimum items 1; maximum items 16.
order	Order	Required. Safe integer; minimum 2; maximum 16.
jitter	Jitter	Required. Finite number; minimum 0.
seed	Optional numeric seed; takes precedence over context randomness. Without either, use the fixed tool.io default seed.	Optional. Safe integer.

Output field	Interpretation	Returned shape
baseRadii	Base Radii	Required. Array of Finite number; strictly above 0.; minimum items 1; maximum items 16.
points	Points	Required. Array of Array of Finite number.; minimum items 2; maximum items 2.; minimum items 1; maximum items 128.
bounds	Bounds	Required. Object; no unknown keys.
bounds.minX	Min X	Required. Finite number.
bounds.minY	Min Y	Required. Finite number.
bounds.maxX	Max X	Required. Finite number.
bounds.maxY	Max Y	Required. Finite number.
bounds.width	Width	Required. Finite number.
bounds.height	Height	Required. Finite number.
randomness	Replay metadata: source is seed or context; seed is the normalized 32-bit seed or null for a context source.	Required. Object; no unknown keys.
randomness.seed	Optional numeric replay seed; normalization and precedence are explained below.	Required. Safe integer. or Null.
randomness.source	Source	Required. Text; one of "context", "seed".

An explicit safe-integer seed takes precedence over injected context randomness and is normalized to an unsigned 32-bit integer. With no seed and no context source, replay uses the fixed tool.io default seed. A context source must return finite values from zero inclusive to one exclusive; its advancing state must be retained separately. randomness records the source and normalized seed, or null for context. These generators are not cryptographic random sources.

json

{
  "input": {
    "radii": [
      2
    ],
    "order": 4,
    "jitter": 0,
    "seed": 42
  },
  "output": {
    "baseRadii": [
      2
    ],
    "points": [
      [
        2,
        0
      ],
      [
        0,
        2
      ],
      [
        -2,
        0
      ],
      [
        0,
        -2
      ]
    ],
    "bounds": {
      "minX": -2,
      "minY": -2,
      "maxX": 2,
      "maxY": 2,
      "width": 4,
      "height": 4
    },
    "randomness": {
      "seed": 42,
      "source": "seed"
    }
  }
}

Limitations and assumptions

Jitter must be smaller than every radius. Reusing the perturbed motif preserves rotational repetition; bounds concern the returned points, and no filled-petal geometry is inferred.
A replay requires the same complete input and implementation. Randomized construction does not guarantee uniform coverage of every feasible output; finite samples can repeat unless a distinct-selection rule is explicitly stated.
The field tables state structural bounds; cross-field constraints and bounded search or output budgets also apply. Unknown keys are rejected where the object contract disallows them. Input errors are distinct from null fields and deliberate invalid controls in a successful output.

Alternative or Complementary methods

For a supplied example, inspect the returned construction or delegated check directly. To evaluate a consumer, also test cases chosen for its own boundaries; a generated finite corpus does not establish exhaustive coverage.

References

Tool behavior and example: Random Radial Rosette Pattern Generator — tool.io

Similar or alternative tools

Random Gift Wrap Pattern Placement Plan Generator
Place caller motifs inside vertical fold-clearance bands on a repeat sheet with explicit allowed-overlap tags; app artwork and repeat-edge rendering remain external.
Random Mesh Color Pattern Generator
Generate random hex control nodes and a shared-edge bilinear encoded-sRGB color grid via the existing interpolator, retaining its numeric precision and byte quantization; this is a rectangular mesh approximation, not a perceptual or linear-light blend.