DrapeCutbeta flat patterns for woven cloth on compound curves

WORKED EXAMPLE · CONE, 300 MM BASE, 200 MM TALL

Composite draping example: cone

A 2D woven fabric cutting pattern generated from a 3D cone using DrapeCut's exact unfolding of a developable surface. Warp at 0°, locking angle 45° (a 2×2 twill), seed on the flank. The part is a cone, 300 mm base, 200 mm tall.

MAX SHEAR0°
CELLS PAST LOCK0
FLAT SIZE386 × 500 mm
CLOTH AREA0.118 m²
PART COVERED100%
Draped woven fabric net on the cone, each cell coloured by shear angle from grey at 0° through gold at 45° to dark red past the locking angle; the blue dot is the seed
The net on the part, coloured by shear angle. Blue dot: seed.
Flat cutting pattern for the cone: the draped cells mapped back to the undeformed cloth, with the cut outline, the seed cross and the warp arrow along x
The flat cut shape, warp along x. This is what the DXF contains.
0°
45°
past lock

What this part shows

A cone is developable: it rolls out flat with no distortion, and the exact pattern is a sector of a circle whose angle is the base circumference over the slant length, here 360° × 150 / 250 = 216°. DrapeCut measures the angle deficit at every vertex of the mesh, finds it zero everywhere but the apex, and unfolds the surface instead of draping it: triangles laid flat one against the next from the seed outward, the seam falling where the two sides meet, opposite the seed.

The result is the sector itself, 0.118 m² of cloth for 0.118 m² of cone, with no shear anywhere and one seam to close. A net draped over a cone instead keeps going round and meets itself, which is why developable parts are recognised and handled on their own. Max shear 0°; part covered 100%.

Open this example in DrapeCut

Change the seed, the warp angle, the weave or the locking angle and the drape re-solves in well under a second. The DXF for an example downloads without an account.

How this page was made

The sample STL (19043 triangles) was draped by the same solver the tool runs, with these settings:

SettingValue
Warp direction0°
Tow pitch10 mm (coarse, so the net is legible; real cloth is 1–5 mm)
Locking angle45°
Seed75, 0, 100 mm (on the flank, away from the apex)
Cells in the ply1090

Shear angle is pitch-independent to within the mesh resolution; cloth area and the flat size are quantised to the pitch.