diff --git a/src/ars_wireworks/results/buildsheet.py b/src/ars_wireworks/results/buildsheet.py
index 8ba3c43..8a94e36 100644
--- a/src/ars_wireworks/results/buildsheet.py
+++ b/src/ars_wireworks/results/buildsheet.py
@@ -40,6 +40,8 @@
     CoilBuildSpec,
     InsertedReactanceRow,
     TrapBuildSpec,
+    _coil_labels,
+    _trap_labels,
     coil_build_specs,
     inserted_reactance_rows,
     trap_build_specs,
@@ -171,17 +173,16 @@ def build_sheet(
         raise ValueError("trim_margin and waste_factor must not be negative")
 
     deck, _ = build_deck(model, results.frequency_hz)
-    if isinstance(model, FanDipoleModel):
-        # A fan dipole's deck splits each leg into two feed-gap halves plus a
-        # tiny bridge wire, so the generic by-length cut list lists unlabelled
-        # half-wires and a phantom bridge. Build it from the legs instead: one
-        # full-length wire per band, so every leg gets its own cut entry.
-        cut_list = _fan_dipole_cut_list(model, trim_margin)
-        total_length = sum(leg.length_m for leg in model.legs)
+    cut_list = _compose_cut_list(model, deck, trim_margin)
+    # The cut list is the authoritative wire bill for the model-driven antennas
+    # (fan dipole, vertical, trapped wire); fall back to the deck total only for
+    # the generic by-length path, where the two agree.
+    if _is_model_driven_cut_list(model):
+        total_length = sum(
+            item.quantity * item.modeled_length_m for item in cut_list
+        )
     else:
-        lengths = _wire_lengths(deck)
-        cut_list = _cut_list(lengths, trim_margin)
-        total_length = sum(lengths)
+        total_length = sum(_wire_lengths(deck))
 
     return BuildSheet(
         antenna_name=antenna_name(model),
@@ -269,6 +270,170 @@ def _fan_dipole_cut_list(
     )
 
 
+def _is_model_driven_cut_list(model: AntennaModel) -> bool:
+    """Whether ``model`` gets a cut list built from the model, not the deck."""
+    return isinstance(model, (FanDipoleModel, VerticalModel)) or (
+        _dipole_family_with_loads(model)
+    )
+
+
+def _compose_cut_list(
+    model: AntennaModel, deck: CardDeck, trim_margin: float
+) -> tuple[CutListItem, ...]:
+    """The cut list for ``model``, model-driven where the deck is misleading.
+
+    A trapped antenna's deck is one continuous radiator wire (the traps are
+    loads, not cuts) and a vertical's deck mixes the radiator in with the
+    radial wires, so for those the cut list is built from the model: the
+    radiator split into the sections between its traps/coils, and the radials
+    listed and labelled separately. Everything else groups the deck's wires
+    by length as before.
+    """
+    if isinstance(model, FanDipoleModel):
+        return _fan_dipole_cut_list(model, trim_margin)
+    if isinstance(model, VerticalModel):
+        return _vertical_cut_list(model, trim_margin)
+    if _dipole_family_with_loads(model):
+        return _loaded_dipole_cut_list(model, trim_margin)
+    return _cut_list(_wire_lengths(deck), trim_margin)
+
+
+def _dipole_family_with_loads(model: AntennaModel) -> bool:
+    """A centre-fed dipole/inverted-V carrying traps or loading coils."""
+    return isinstance(model, (DipoleModel, InvertedVeeModel)) and bool(
+        model.traps or model.loading_coils
+    )
+
+
+def _section_item(
+    description: str, length_m: float, quantity: int, trim_margin: float
+) -> CutListItem:
+    """A cut-list item for a labelled wire of ``length_m``."""
+    return CutListItem(
+        description=description,
+        quantity=quantity,
+        modeled_length_m=length_m,
+        cut_length_m=length_m * (1.0 + trim_margin),
+    )
+
+
+def _pair_label(label: str) -> str:
+    """Drop a symmetric-pair side suffix: ``T1L`` -> ``T1``, ``L2`` -> ``L2``."""
+    if len(label) >= 2 and label[-1] in ("L", "R") and label[-2].isdigit():
+        return label[:-1]
+    return label
+
+
+def _radiator_loads(model: AntennaModel) -> list[tuple[float, str]]:
+    """(position fraction, label) for every trap/coil on the radiator wire."""
+    # A load with no explicit wire_tag sits on the radiator (the default); an
+    # explicit tag points it at another wire (a Yagi element), which doesn't
+    # section the radiator.
+    loads: list[tuple[float, str]] = []
+    if model.traps:
+        for label, trap in zip(_trap_labels(model.traps), model.traps):
+            if getattr(trap, "wire_tag", None) is None:
+                loads.append((trap.position_fraction, _pair_label(label)))
+    if model.loading_coils:
+        for label, coil in zip(_coil_labels(model.loading_coils), model.loading_coils):
+            if getattr(coil, "wire_tag", None) is None:
+                loads.append((coil.position_fraction, _pair_label(label)))
+    return loads
+
+
+def _arm_items(
+    *,
+    feed_fraction: float,
+    end_fraction: float,
+    loads: Sequence[tuple[float, str]],
+    length_m: float,
+    trim_margin: float,
+    quantity: int,
+) -> list[CutListItem]:
+    """Sections of one arm: feedpoint -> each load -> the tip, in order."""
+    boundaries = (
+        [("Feedpoint", feed_fraction)]
+        + [(label, position) for position, label in loads]
+        + [("tip", end_fraction)]
+    )
+    items: list[CutListItem] = []
+    for (name_a, frac_a), (name_b, frac_b) in zip(boundaries, boundaries[1:]):
+        length = abs(frac_b - frac_a) * length_m
+        items.append(
+            _section_item(f"{name_a} → {name_b}", length, quantity, trim_margin)
+        )
+    return items
+
+
+def _radiator_sections(
+    model: AntennaModel,
+    length_m: float,
+    feed_fraction: float,
+    trim_margin: float,
+) -> list[CutListItem]:
+    """The radiator split into the wire sections between its traps/coils.
+
+    Empty when the radiator carries no loads. A base- or end-fed radiator is
+    one arm (quantity 1); a centre-fed one is a symmetric pair (quantity 2),
+    so the loads on the far side describe both legs.
+    """
+    loads = _radiator_loads(model)
+    if not loads:
+        return []
+    end_fed = abs(feed_fraction) < 1e-6 or abs(feed_fraction - 1.0) < 1e-6
+    if end_fed:
+        end = 1.0 if feed_fraction < 0.5 else 0.0
+        ordered = sorted(loads, key=lambda load: abs(load[0] - feed_fraction))
+        return _arm_items(
+            feed_fraction=feed_fraction, end_fraction=end, loads=ordered,
+            length_m=length_m, trim_margin=trim_margin, quantity=1,
+        )
+    far = sorted((load for load in loads if load[0] > feed_fraction))
+    return _arm_items(
+        feed_fraction=feed_fraction, end_fraction=1.0, loads=far,
+        length_m=length_m, trim_margin=trim_margin, quantity=2,
+    )
+
+
+def _loaded_dipole_cut_list(
+    model: AntennaModel, trim_margin: float
+) -> tuple[CutListItem, ...]:
+    """A centre-fed dipole/inverted-V cut into the sections between its traps."""
+    return tuple(
+        _radiator_sections(model, model.length_m, 0.5, trim_margin)
+    )
+
+
+def _vertical_cut_list(
+    model: VerticalModel, trim_margin: float
+) -> tuple[CutListItem, ...]:
+    """Radiator (sectioned if loaded) plus the radials, each labelled.
+
+    Fixes the generic cut list conflating the radiator with same-length
+    radials, and gives a trapped vertical its inter-trap section lengths.
+    """
+    items: list[CutListItem] = []
+    sections = _radiator_sections(
+        model, model.radiator_length_m, 0.0, trim_margin
+    )
+    if sections:
+        items.extend(sections)
+    else:
+        items.append(
+            _section_item("Radiator", model.radiator_length_m, 1, trim_margin)
+        )
+    for group in model.radials:
+        label = (
+            "Ground radials" if group.is_ground_mounted else "Elevated radials"
+        )
+        items.append(
+            _section_item(label, group.length_m, group.count, trim_margin)
+        )
+    for radial in model.individual_radials:
+        items.append(_section_item("Radial", radial.length_m, 1, trim_margin))
+    return tuple(items)
+
+
 def _bill_of_materials(
     model: AntennaModel,
     deck: CardDeck,
diff --git a/tests/test_buildsheet.py b/tests/test_buildsheet.py
index 7a4c8a8..e800fec 100644
--- a/tests/test_buildsheet.py
+++ b/tests/test_buildsheet.py
@@ -9,8 +9,11 @@
     DipoleModel,
     EfhwModel,
     HorizontalLoopModel,
+    RadialGroup,
     RhombicModel,
+    VerticalModel,
 )
+from ars_wireworks.model.trap import Trap
 from ars_wireworks.results.buildsheet import (
     build_sheet,
     render_html,
@@ -176,3 +179,63 @@ def test_build_sheet_honours_the_imperial_unit_system():
     assert " cm |" not in imperial
     assert "ft total" in imperial  # bill of materials
     assert "ft above ground" in imperial  # installation notes
+
+
+# --- multiband / trapped / vertical cut lists -------------------------------
+
+
+def _two_trap_dipole() -> DipoleModel:
+    """A 3-band trapped dipole: two symmetric trap pairs about the centre."""
+    traps = (
+        Trap(resonant_frequency_hz=21.225e6, inductance_h=5e-6, position_fraction=0.5 + 0.17),
+        Trap(resonant_frequency_hz=21.225e6, inductance_h=5e-6, position_fraction=0.5 - 0.17),
+        Trap(resonant_frequency_hz=14.175e6, inductance_h=5e-6, position_fraction=0.5 + 0.25),
+        Trap(resonant_frequency_hz=14.175e6, inductance_h=5e-6, position_fraction=0.5 - 0.25),
+    )
+    return DipoleModel(frequency_hz=FREQ_40M_HZ, height_m=12.0, traps=traps)
+
+
+def test_trapped_dipole_cut_list_is_sectioned_between_traps() -> None:
+    sheet = build_sheet(_two_trap_dipole(), _results())
+    descriptions = [item.description for item in sheet.cut_list]
+    # the radiator is cut into feed -> T1 -> T2 -> tip sections, not one wire
+    assert descriptions == ["Feedpoint → T1", "T1 → T2", "T2 → tip"]
+    # a centre-fed dipole is a symmetric pair: two of each section
+    assert all(item.quantity == 2 for item in sheet.cut_list)
+    assert "Antenna wire" not in descriptions
+
+
+def test_trapped_vertical_separates_radiator_sections_from_radials() -> None:
+    traps = (
+        Trap(resonant_frequency_hz=21.225e6, inductance_h=5e-6, position_fraction=0.34),
+        Trap(resonant_frequency_hz=14.175e6, inductance_h=5e-6, position_fraction=0.5),
+    )
+    model = VerticalModel(
+        frequency_hz=FREQ_40M_HZ,
+        base_height_m=0.3,
+        radials=(RadialGroup(count=32, length_m=10.2, height_m=0.0),),
+        traps=traps,
+    )
+    sheet = build_sheet(model, _results())
+    descriptions = [item.description for item in sheet.cut_list]
+    # radiator sectioned (one arm), radials a distinct labelled line — not the
+    # old single "qty 33" entry that conflated radiator with radials
+    assert "Feedpoint → T1" in descriptions
+    assert "T2 → tip" in descriptions
+    radials = [it for it in sheet.cut_list if it.description == "Ground radials"]
+    assert len(radials) == 1
+    assert radials[0].quantity == 32
+
+
+def test_plain_vertical_labels_radiator_and_radials() -> None:
+    model = VerticalModel(
+        frequency_hz=FREQ_40M_HZ,
+        base_height_m=0.3,
+        radials=(RadialGroup(count=4, length_m=10.1, height_m=0.0),),
+    )
+    sheet = build_sheet(model, _results())
+    by_desc = {item.description: item for item in sheet.cut_list}
+    assert "Radiator" in by_desc and by_desc["Radiator"].quantity == 1
+    assert "Ground radials" in by_desc and by_desc["Ground radials"].quantity == 4
+    # the radiator and radials are never merged into one line
+    assert len(sheet.cut_list) == 2