Random Polygon Burst Composition Generator

Description

Transform supplied polygon motifs into offset layers around a center with sampled scales, rotations and explicit bounding-box overlap tags.

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.

Transform supplied polygon motifs into offset layers around a center with sampled scales, rotations and explicit bounding-box overlap tags.

When to use this tool

Use this generator to create reproducible polygon burst composition 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 center, offsets, motifs, scales, rotations 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 layers, boundingBoxOverlapPairs, bounds. Use the conventions below and keep answer-bearing fields separate when presenting an exercise.

At each supplied offset, draw a motif, scale, and rotation, transform its vertices about the supplied center, and calculate layer bounds. Report overlapping axis-aligned bounding-box pairs and global point bounds.^[1]

Input field	Meaning and units	Accepted input
center	Center	Required. Array of Finite number.; minimum items 2; maximum items 2.
offsets	Offsets	Required. Array of Array of Finite number.; minimum items 2; maximum items 2.; minimum items 1; maximum items 16.
motifs	Motifs	Required. Array of Object; no unknown keys.; minimum items 1; maximum items 16.
motifs[].id	Literal identifier used to match records, independently of their display labels.	Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 80.
motifs[].vertices	Vertices	Required. Array of Array of Finite number.; minimum items 2; maximum items 2.; minimum items 3; maximum items 16.
scales	Scales	Required. Array of Finite number; strictly above 0.; minimum items 1; maximum items 16.
rotations	Rotations	Required. Array of Finite number.; minimum items 1; maximum items 16.
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
layers	Layers	Required. Array of Object; no unknown keys.; minimum items 1; maximum items 16.
layers[].motifId	Motif Id	Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 80.
layers[].scale	Scale	Required. Finite number; strictly above 0.
layers[].rotation	Rotation	Required. Finite number.
layers[].points	Points	Required. Array of Array of Finite number.; minimum items 2; maximum items 2.; minimum items 1; maximum items 128.
layers[].bounds	Bounds	Required. Object; no unknown keys.
layers[].bounds.minX	Min X	Required. Finite number.
layers[].bounds.minY	Min Y	Required. Finite number.
layers[].bounds.maxX	Max X	Required. Finite number.
layers[].bounds.maxY	Max Y	Required. Finite number.
layers[].bounds.width	Width	Required. Finite number.
layers[].bounds.height	Height	Required. Finite number.
boundingBoxOverlapPairs	Bounding Box Overlap Pairs	Required. Array of Array of Safe integer; minimum 0; maximum 15.; minimum items 2; maximum items 2.; minimum items 0; maximum items 120.
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": {
    "center": [
      1,
      2
    ],
    "offsets": [
      [
        0,
        0
      ]
    ],
    "motifs": [
      {
        "id": "triangle",
        "vertices": [
          [
            0,
            0
          ],
          [
            2,
            0
          ],
          [
            0,
            1
          ]
        ]
      }
    ],
    "scales": [
      2
    ],
    "rotations": [
      0
    ],
    "seed": 42
  },
  "output": {
    "layers": [
      {
        "motifId": "triangle",
        "scale": 2,
        "rotation": 0,
        "points": [
          [
            1,
            2
          ],
          [
            5,
            2
          ],
          [
            1,
            4
          ]
        ],
        "bounds": {
          "minX": 1,
          "minY": 2,
          "maxX": 5,
          "maxY": 4,
          "width": 4,
          "height": 2
        }
      }
    ],
    "boundingBoxOverlapPairs": [],
    "bounds": {
      "minX": 1,
      "minY": 2,
      "maxX": 5,
      "maxY": 4,
      "width": 4,
      "height": 2
    },
    "randomness": {
      "seed": 42,
      "source": "seed"
    }
  }
}

Limitations and assumptions

Bounding-box overlap is not polygon intersection. Rotation uses the declared turn convention and units must be consistent; transformed artwork is not an optimal nonoverlapping arrangement.
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 Polygon Burst Composition Generator — tool.io

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