Random CSS Clip-Path Shape Generator

Description

Generate a bounded simple radial percentage polygon with verified area and serialize clip-path CSS.

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.

Generate a bounded simple radial percentage polygon with verified area and serialize clip-path CSS.

When to use this tool

Use this generator to create reproducible css clip path shape 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 vertexCount, radiusPercent, areaPercentSquared, maximumAttempts 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 vertices, areaPercentSquared, css, attempts. Use the conventions below. Keep answer-bearing fields separate when presenting an exercise.

Place vertices at evenly spaced angles around 50 percent center with sampled radii. Repeatedly check polygon simplicity and positive area within supplied bounds, then return the first acceptable percentage-coordinate polygon and clip-path CSS.^[1]

Delegated operations used for this result: clip path polygon vertex validator; polygon area. Their calculation or parsing conventions apply to the corresponding result fields.^{[2, 3]}

Input field	Meaning and units	Accepted input
vertexCount	Vertex Count	Required. Safe integer; minimum 3; maximum 32.
radiusPercent	Radius Percent	Required. Object; no unknown keys.
radiusPercent.minimum	Minimum	Required. Safe integer; minimum 1; maximum 50.
radiusPercent.maximum	Maximum	Required. Safe integer; minimum 1; maximum 50.
areaPercentSquared	Area Percent Squared	Required. Object; no unknown keys.
areaPercentSquared.minimum	Minimum	Required. Finite number; minimum 0; maximum 10000.
areaPercentSquared.maximum	Maximum	Required. Finite number; minimum 0; maximum 10000.
maximumAttempts	Maximum Attempts	Required. Safe integer; minimum 1; maximum 128.
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
vertices	Vertices	Required. Array of Object; no unknown keys.; minimum items 3; maximum items 32.
vertices[].x	X	Required. Finite number; minimum 0; maximum 100.
vertices[].y	Y	Required. Finite number; minimum 0; maximum 100.
areaPercentSquared	Area Percent Squared	Required. Finite number.
css	Css	Required. Text; maximum UTF-16 length 4096.
attempts	Attempts	Required. Safe integer; minimum 1; maximum 128.
randomness	Replay source and normalized 32-bit seed, or null seed for an advancing context source.	Required. Object; no unknown keys.
randomness.seed	Optional safe-integer 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": {
    "vertexCount": 4,
    "radiusPercent": {
      "minimum": 20,
      "maximum": 40
    },
    "areaPercentSquared": {
      "minimum": 100,
      "maximum": 5000
    },
    "maximumAttempts": 32,
    "seed": 42
  },
  "output": {
    "vertices": [
      {
        "x": 82,
        "y": 50
      },
      {
        "x": 50,
        "y": 79
      },
      {
        "x": 13,
        "y": 50
      },
      {
        "x": 50,
        "y": 16
      }
    ],
    "areaPercentSquared": 2173.5,
    "css": "clip-path: polygon(82% 50%, 50% 79%, 13% 50%, 50% 16%);",
    "attempts": 1,
    "randomness": {
      "seed": 42,
      "source": "seed"
    }
  }
}

Limitations and assumptions

Area is in squared percentage-coordinate units, not percent coverage or physical area. A finite attempt budget can fail without proving no shape exists; no browser clipping or fabrication safety is assessed.
A replay requires the same complete input and implementation. The stated sampling convention applies within its eligible space. A finite draw does not exhaust all possible outputs; repeats remain possible unless a distinct-selection rule is explicit.
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 CSS Clip-Path Shape Generator — tool.io
Calculation or validation: css/clip-path-polygon-vertex-validator — tool.io
Calculation or validation: geometry/polygon-area — tool.io

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