{
  "slug": "SCION_064_Parabolas_Different_Causes",
  "version": "v2",
  "series": "SCION_MICROFILMS",
  "kicker": "SCION 064 \u00b7 CONCEPTUAL MICROFILMS",
  "title": "Parabolas (etc.) \u2014 Curves With Different Causes",
  "subtitle": "Catenary cables, ballistic water jets, and hand-bent arches vs. fitted hypotheses",
  "scion_id": 64,
  "supporting_scions": [],
  "lineage": "Lineage: Will Hoffman & Derek Paul Boyle, Parabolas (etc.) (2009)",
  "theorem": "Use repeated curves to let viewers notice a geometric relation, then make differing causes and imperfect fits part of the film's discovery. A measured resemblance remains open to correction by the object.",
  "boundary_note": "All three physical curves are seen cleanly in context before fitted hypothesis guides are overlaid. One guide visibly departs from the hand-bent strip.",
  "critic_tribunal": {
    "film_id": "SCION_064_Parabolas_Different_Causes",
    "scion_id": 64,
    "critic_role": "Independent geometry-and-cinema critic",
    "v1_verdict": "repair_required",
    "v1_defect_timecodes": [
      "Seg #03 (t=09.00s-14.00s) & Seg #08 (t=32.20s-36.70s): `efcd23e5` cuts internally from a worker in a hard hat to a vertical beam.",
      "Seg #04 (t=14.00s-19.50s): `09deda36` (`Eyes and Their Care`, 1941) shows a static medical eyeball diagram instead of a ballistic trajectory."
    ],
    "largest_gap": "Observation 02 (Seg #04) shows a static diagram of an eyeball instead of a moving ballistic arc, and Seg #03/#08 cuts internally across a worker's head.",
    "causal_hypothesis": "OpenCLIP false positive matching the round eyeball diagram to 'ball in flight', and an unverified cut in `efcd23e5`.",
    "falsifiable_repair": "Use verified suspension cable shot `b9198dcc` (`0.05s-4.35s`) and overhead catenary wire shot `a4d0d568` (`0.2s-5.2s`) for Observation 01/01B & Replay #08; use `c1613029` (`0.05s-3.45s`, low-flying aircraft arc) and `41941b55` (`2.5s-6.4s`, `custom_window=True`, side-view parabolic water jet) for Observation 02/02B & Replay #09; use `0917faaa` (`0.1s-4.5s`, `custom_window=True`, hands bending flexible tire strip) for Observation 03 & Replay #10.",
    "strength_to_preserve": "The three-curve comparison card and Replay #09-#10 (`41941b55` water-jet parabola fit and `0917faaa` asymmetric hand-bent strip departing from the symmetric parabola).",
    "v2_verdict": "pass"
  },
  "duration_seconds": 45.38,
  "video_file": "films/SCION_064_Parabolas_Different_Causes.mp4",
  "source_count": 5,
  "sources_summary": [
    "b9198dcc \u00b7 Boulder Dam (undated)",
    "a4d0d568 \u00b7 Big Train, The (Part I) (1950)",
    "c1613029 \u00b7 Crop Duster (1956)",
    "41941b55 \u00b7 Small Steps...Giant Strides (1973)",
    "0917faaa \u00b7 Under The Tread (1934)"
  ],
  "edl": [
    {
      "seg_idx": 1,
      "type": "title_card",
      "title": "Parabolas (etc.) \u2014 Curves With Different Causes",
      "phase": "OPENING SLATE",
      "action": "Catenary cables, ballistic water jets, and hand-bent arches vs. fitted hypotheses",
      "start_sec": 0.0,
      "end_sec": 3.0,
      "dur_s": 3.0
    },
    {
      "type": "shot",
      "clip_id": "b9198dcc-e5e1-5e9d-b766-f6819116d77c",
      "source_title": "Boulder Dam",
      "source_year": null,
      "source_page": "https://www.movingimagearchive.com/sources/boulder-dam-770252fd?clip=b9198dcc-e5e1-5e9d-b766-f6819116d77c",
      "in_s": 0.1,
      "out_s": 4.3,
      "dur_s": 4.2,
      "phase": "OBSERVATION 01 \u00b7 HANGING SUSPENSION CABLE (CATENARY)",
      "action": "Boulder Dam: Heavy suspension cables hanging under their own weight in context",
      "nearmatch": "CAUSE: GRAVITY ON UNIFORM CABLE",
      "seg_idx": 2,
      "start_sec": 3.0,
      "end_sec": 7.2
    },
    {
      "type": "shot",
      "clip_id": "a4d0d568-a448-569a-8f1d-aa56eece0b5a",
      "source_title": "Big Train, The (Part I)",
      "source_year": 1950,
      "source_page": "https://www.movingimagearchive.com/sources/big-train-the-part-i-be49d482?clip=a4d0d568-a448-569a-8f1d-aa56eece0b5a",
      "in_s": 0.2,
      "out_s": 5.0,
      "dur_s": 4.8,
      "phase": "OBSERVATION 01B \u00b7 OVERHEAD CATENARY WIRE PROFILE",
      "action": "The Big Train (1954): Sagging overhead catenary wires backlit against the sky",
      "nearmatch": "y = a cosh(x/a) \u00b7 NOT A PARABOLA",
      "seg_idx": 3,
      "start_sec": 7.2,
      "end_sec": 12.0
    },
    {
      "type": "shot",
      "clip_id": "c1613029-4190-51f7-a98b-304aed511307",
      "source_title": "Crop Duster",
      "source_year": 1956,
      "source_page": "https://www.movingimagearchive.com/sources/crop-duster-d28d6b6f?clip=c1613029-4190-51f7-a98b-304aed511307",
      "in_s": 0.1,
      "out_s": 3.25,
      "dur_s": 3.3,
      "phase": "OBSERVATION 02 \u00b7 FLIGHT TRAJECTORY ARC",
      "action": "Crop Duster (1956): Aircraft sweeping along a low curved trajectory over an open field",
      "nearmatch": "CAUSE: AERODYNAMIC + GRAVITY ARC",
      "seg_idx": 4,
      "start_sec": 12.0,
      "end_sec": 15.3
    },
    {
      "type": "shot",
      "clip_id": "41941b55-9043-5e05-84d0-75e5f492e35b",
      "source_title": "Small Steps...Giant Strides",
      "source_year": 1973,
      "source_page": "https://www.movingimagearchive.com/sources/small-steps-giant-strides-5ecaea55?clip=41941b55-9043-5e05-84d0-75e5f492e35b",
      "in_s": 2.5,
      "out_s": 6.25,
      "dur_s": 3.8,
      "phase": "OBSERVATION 02B \u00b7 WATER STREAM TRAJECTORY (BALLISTIC PARABOLA)",
      "action": "Small Steps...Giant Strides (1973): Continuous parabolic sheet of water arcing through air",
      "nearmatch": "FLUID BALLISTIC PARABOLA",
      "seg_idx": 5,
      "start_sec": 15.3,
      "end_sec": 19.1
    },
    {
      "type": "shot",
      "clip_id": "0917faaa-dc40-5556-90b5-03e5ee7408c1",
      "source_title": "Under The Tread",
      "source_year": 1934,
      "source_page": "https://www.movingimagearchive.com/sources/under-the-tread-1d8e5b27?clip=0917faaa-dc40-5556-90b5-03e5ee7408c1",
      "in_s": 0.1,
      "out_s": 4.35,
      "dur_s": 4.3,
      "phase": "OBSERVATION 03 \u00b7 HAND-BENT FLEXIBLE TIRE STRIP",
      "action": "Under The Tread (1934): Hands bending a flexible rubber tire strip \u2014 grip and load visible",
      "nearmatch": "CAUSE: ELASTIC BENDING MOMENT",
      "seg_idx": 6,
      "start_sec": 19.1,
      "end_sec": 23.4
    },
    {
      "type": "intertitle",
      "title": "Fitted Hypothesis Guides",
      "phase": "INTERTITLE SLATE",
      "action": "Replaying the three curves with mathematical overlays",
      "dur_s": 2.2,
      "seg_idx": 7,
      "start_sec": 23.4,
      "end_sec": 25.6
    },
    {
      "type": "curve_guide_shot",
      "clip_id": "b9198dcc-e5e1-5e9d-b766-f6819116d77c",
      "source_title": "Boulder Dam",
      "source_year": null,
      "source_page": "https://www.movingimagearchive.com/sources/boulder-dam-770252fd?clip=b9198dcc-e5e1-5e9d-b766-f6819116d77c",
      "dur_s": 4.2,
      "curve_type": "catenary",
      "phase": "",
      "action": "Hypothesis 1: Catenary curve y = a cosh(x/a) fitted to the hanging Boulder Dam cable",
      "nearmatch": "FIT: CATENARY (MINT)",
      "seg_idx": 8,
      "start_sec": 25.6,
      "end_sec": 29.8
    },
    {
      "type": "curve_guide_shot",
      "clip_id": "41941b55-9043-5e05-84d0-75e5f492e35b",
      "source_title": "Small Steps...Giant Strides",
      "source_year": 1973,
      "source_page": "https://www.movingimagearchive.com/sources/small-steps-giant-strides-5ecaea55?clip=41941b55-9043-5e05-84d0-75e5f492e35b",
      "dur_s": 3.8,
      "curve_type": "parabola",
      "phase": "",
      "action": "Hypothesis 2: Ballistic parabola y = ax^2 + bx + c fitted to the arcing water jet",
      "nearmatch": "FIT: PARABOLA (GOLD)",
      "seg_idx": 9,
      "start_sec": 29.8,
      "end_sec": 33.6
    },
    {
      "type": "curve_guide_shot",
      "clip_id": "0917faaa-dc40-5556-90b5-03e5ee7408c1",
      "source_title": "Under The Tread",
      "source_year": 1934,
      "source_page": "https://www.movingimagearchive.com/sources/under-the-tread-1d8e5b27?clip=0917faaa-dc40-5556-90b5-03e5ee7408c1",
      "dur_s": 4.3,
      "curve_type": "depart",
      "phase": "",
      "action": "Hypothesis 3 (Visible Departure): Symmetric parabola (rust) fails to fit asymmetric hand-bent elastica (mint)",
      "nearmatch": "USEFUL FAILURE: OBJECT CORRECTS FORMULA",
      "seg_idx": 10,
      "start_sec": 33.6,
      "end_sec": 37.9
    },
    {
      "type": "shot",
      "clip_id": "b9198dcc-e5e1-5e9d-b766-f6819116d77c",
      "source_title": "Boulder Dam",
      "source_year": null,
      "source_page": "https://www.movingimagearchive.com/sources/boulder-dam-770252fd?clip=b9198dcc-e5e1-5e9d-b766-f6819116d77c",
      "in_s": 0.2,
      "out_s": 4.2,
      "dur_s": 4.0,
      "phase": "RETURN \u00b7 ALL GUIDES REMOVED",
      "action": "Boulder Dam: Returning to the physical cable with all mathematical overlays removed",
      "nearmatch": "OBSERVED OBJECT HAS LAST WORD",
      "seg_idx": 11,
      "start_sec": 37.9,
      "end_sec": 41.9
    },
    {
      "seg_idx": 12,
      "type": "closing_ledger",
      "title": "SOURCE ATTRIBUTION & BOUNDARY NOTE",
      "phase": "CLOSING LEDGER",
      "action": "All three physical curves are seen cleanly in context before fitted hypothesis guides are overlaid. One guide visibly departs from the hand-bent strip.",
      "start_sec": 41.9,
      "end_sec": 45.4,
      "dur_s": 3.5
    }
  ]
}