# Convex Integer Polygon Intersection Boundary Verifier

> Convex Integer Polygon Intersection Boundary Verifier is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-01).

Verifies the exact rational boundary of the intersection region of two strictly convex, counter-clockwise integer-coordinate polygons.

## Facts

- Endpoint: POST https://detect.halowerk.com/v1/F-REST-B15/convex-integer-polygons-exact-rational-intersection-boundary?utm_source=zero.xyz
- Price: $0.003/call
- Payment: x402
- Status: unknown
- Last checked: 2026-11-01
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/convex-integer-polygon-intersection-boundary-verifier-cda9e0fe
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_F44GR84rVdDk0rgH9vOu5

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability convex-integer-polygon-intersection-boundary-verifier-cda9e0fe -d '<json body>'
```

Example prompt: Verify the exact rational intersection boundary of these two strictly convex CCW polygons: left polygon with vertices [[0,0],[4,0],[3,3],[1,3]] and right polygon with vertices [[2,0],[6,0],[5,3],[3,3]], and confirm the supplied intersection claim is correct.

## When to prefer this

Choose this endpoint when you need exact rational arithmetic verification (not floating-point approximation) of the intersection boundary of two strictly convex, CCW-oriented polygons with small integer coordinates (up to ±100). It is ideal for geometric proof verification, CAD overlap checks, and physics collision boundary audits where exactness matters and floating-point error is unacceptable.

## Known failure modes

- Polygon vertices not in strictly convex CCW order — endpoint may reject or return error
- Coordinates outside the allowed [-100, 100] integer range — validation error
- Polygon with fewer than 3 vertices — schema validation failure
- Non-integer coordinates supplied — rejected by schema
- Polygons have no intersection (disjoint) — boundary is empty, claim must reflect this
- Malformed artifact or missing convexIntersection fields — 400 bad request

## How this service works

Verify the complete exact boundary of the common region of two supplied strictly convex CCW polygons.

## Output

Returns a verification result indicating whether the supplied intersection claim matches the exact rational boundary of the common region of the two input convex CCW integer polygons, along with the computed exact boundary vertices (as rational numbers).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "artifact": {
   "type": "object",
   "required": [
    "convexIntersection"
   ],
   "properties": {
    "convexIntersection": {
     "type": "object",
     "required": [
      "data",
      "claim"
     ],
     "properties": {
      "data": {
       "type": "object",
       "required": [
        "left",
        "right"
       ],
       "properties": {
        "left": {
         "type": "array",
         "items": {
          "type": "array",
          "items": {
           "type": "integer",
           "maximum": 100,
           "minimum": -100
          },
          "maxItems": 2,
          "minItems": 2
         },
         "maxItems": 12,
         "minItems": 1
        },
        "right": {
         "type": "array",
         "items": {
          "type": "array",
          "items": {
           "type": "integer",
           "maximum": 100,
           "minimum": -100
          },
          "maxItems": 2,
          "minItems": 2
         },
         "maxItems": 12,
         "minItems": 1
        }
       },
       "additionalProperties": false
      },
      "claim": {}
     },
     "additionalProperties": false
    }
   },
   "additionalProperties": false
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/convex-integer-polygon-intersection-boundary-verifier-cda9e0fe/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from detect.halowerk.com](https://www.zero.xyz/host/detect.halowerk.com/llms.txt)