Source: https://guthlabs.ai/docs/instruments/mandelbrot-julia-set-explorer/implementation/

instrument implementation / implementation-contract

# Mandelbrot / Julia Set Explorer implementation

A source-bound implementation contract for Mandelbrot / Julia Set Explorer; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## 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

[01**Overview**](<https://guthlabs.ai/docs/instruments/mandelbrot-julia-set-explorer/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/mandelbrot-julia-set-explorer/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/mandelbrot-julia-set-explorer/qualification/>)

## 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`