Mandelbrot / Julia Set Explorer implementation

Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

Record owner

Guth Instruments

Lifecycle

verified-clean

Evidence ID

t6-086

Effect

Computation or source lookup only

Input and validation requirements

Extreme finite inputs overflow JavaScript double arithmetic on the first iteration, producing Infinity. If the renderer does not reject or explicitly handle non-finite complex values, escape coloring and subsequent iterations can become invalid.

Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

{
  "inputs": {
    "mode": "Mandelbrot",
    "sample_point": {
      "x": 0,
      "y": 0
    },
    "c": {
      "x": 0,
      "y": 0
    },
    "z0": {
      "x": 0,
      "y": 0
    },
    "iteration_depth": 10,
    "escape_rule": "escape when |z|>2"
  },
  "expected_outputs": {
    "sampled_point": {
      "x": 0,
      "y": 0
    },
    "escape_status": "bounded_through_depth",
    "escape_iteration": null,
    "escape_time_color_input": "non-escaping"
  },
  "working": "Start z₀=0+0i and c=0+0i. z₁=z₀²+c=0²+0=0. z₂=z₁²+c=0²+0=0. Continuing gives zₙ=0 for n=0 through 10. |zₙ|=0≤2 at every check, so there is no escape iteration within depth 10."
}

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche6/tranche6-results.json