NODE 734 — TERMINAL RELAY

{
  "type": "nurms",
  "control_mesh": [
    [
      0.75,
      0.557692,
      0.596154,
      0.557692,
      0.442308
    ],
    [
      0.557692,
      0.25,
      0.942308,
      0.375,
      0.272436
    ],
    [
      0.185897,
      0.108974,
      0.262821,
      0.159455,
      0.143964
    ],
    [
      0.061966,
      0.042735,
      0.076389,
      0.058961,
      0.067642
    ],
    [
      0.030983,
      0.024573,
      0.033654,
      0.030872,
      0.049257
    ]
  ],
  "subdivisions": 3,
  "positions": [
    [
      0.0,
      0.0
    ],
    [
      0.25,
      0.0
    ],
    [
      0.5,
      0.0
    ],
    [
      0.75,
      0.0
    ],
    [
      1.0,
      0.0
    ],
    [
      0.0,
      0.25
    ],
    [
      0.25,
      0.25
    ],
    [
      0.5,
      0.25
    ]
  ],
  "note": "Subdivide the 5x5 control mesh N times using bilinear upsampling. After each level: original vertices stay in place, edge midpoints are averages of adjacent vertices, face centers are averages of 4 corners. Then sample heights at the given (u,v) positions using bilinear interpolation (or equivalently read the subdivided vertex at those coordinates). Map each height to a letter: int(height * 26) % 26 + 65 -> chr(). Concatenate to get the answer.",
  "hint": "NURMS subdivision cipher \u2014 difficulty 4. Control mesh: 5x5. Subdivision levels: 3. Word length: 8 characters. Apply Catmull-Clark subdivision repeatedly, sample heights at given (u,v), convert each height to A-Z via int(h*26)%26.",
  "answer_format": "comma-separated control point coordinates"
}