Sphere and dome pattern generator

Make the panel (gore) pattern for a ball, dome, hat, foam helmet or sheet-metal dome at exactly your size. Choose a full sphere, a hemisphere or a dome by its span and rise, the number of panels and your material, then print the pattern full size, cut it on a machine from the DXF or SVG, or draw it from the width table.

Shape and material

Units
Material preset

Sets the number of gores, allowance and thickness rule; change anything afterwards.

Shape
Size given as

Straight across the widest part.

More gores = rounder, with narrower pieces. 6–8 suit fabric balls, 12–16 domes and metal.

Size measured to the

For thick foam or metal the pattern is drawn on the middle of the material.

Ends and walls

0 = gores meet at a point.

Seam allowance

Added outside the finished line; it is never scaled with the pattern.

Checks that a gore fits across it.

Gore pattern

Cut
6 gores
no discs
Gore length
31.42 cm
along the centreline
Widest point
10.47 cm
11.67 cm with allowance
Surface area
1256.6 cm²
finished, all gores

The seam allowances bunch up where 6 gores meet at a point. A small top disc (about 2.3 cm across) avoids that.

Gore pattern previewOne gore, 31.42 cm long and 10.47 cm wide, beside a front view of the finished sphere with its 6 gores.
  • cut line
  • stitch / finished line
  • centreline and marks

Download the pattern

Pages

2 pattern pages + 1 instruction page

Width table (draw it without a printer)

Draw the centreline, then at each distance from the top mark half the width on each side and join the marks with a smooth curve. Add the allowance outside that line.

From topFrom bottomWidthEach side
0.00 cm31.42 cm0.00 cm0.00 cm
1.00 cm30.42 cm1.05 cm0.52 cm
2.00 cm29.42 cm2.08 cm1.04 cm
3.00 cm28.42 cm3.09 cm1.55 cm
4.00 cm27.42 cm4.08 cm2.04 cm
5.00 cm26.42 cm5.02 cm2.51 cm
6.00 cm25.42 cm5.91 cm2.96 cm
7.00 cm24.42 cm6.75 cm3.37 cm
8.00 cm23.42 cm7.51 cm3.76 cm
9.00 cm22.42 cm8.20 cm4.10 cm
10.00 cm21.42 cm8.81 cm4.41 cm
11.00 cm20.42 cm9.33 cm4.67 cm
12.00 cm19.42 cm9.76 cm4.88 cm
13.00 cm18.42 cm10.09 cm5.05 cm
14.00 cm17.42 cm10.32 cm5.16 cm
15.00 cm16.42 cm10.45 cm5.22 cm
16.00 cm15.42 cm10.47 cm5.23 cm
17.00 cm14.42 cm10.38 cm5.19 cm
18.00 cm13.42 cm10.20 cm5.10 cm
19.00 cm12.42 cm9.91 cm4.95 cm
20.00 cm11.42 cm9.52 cm4.76 cm
21.00 cm10.42 cm9.04 cm4.52 cm
22.00 cm9.42 cm8.47 cm4.23 cm
23.00 cm8.42 cm7.81 cm3.90 cm
24.00 cm7.42 cm7.07 cm3.54 cm
25.00 cm6.42 cm6.27 cm3.13 cm
26.00 cm5.42 cm5.40 cm2.70 cm
27.00 cm4.42 cm4.48 cm2.24 cm
28.00 cm3.42 cm3.51 cm1.75 cm
29.00 cm2.42 cm2.51 cm1.25 cm
30.00 cm1.42 cm1.48 cm0.74 cm
31.00 cm0.42 cm0.44 cm0.22 cm
31.42 cm0.00 cm0.00 cm0.00 cm
All dimensions
Gores6 (cut 6)
Gore length (centreline)31.42 cm
Widest point (finished)10.47 cm
Widest point with allowance11.67 cm
Pattern sphere diameter20.00 cm
Curved edge of one gore33.47 cm

How to use it

  1. Pick a material preset (sewing, EVA foam, sheet metal, cladding or paper), then the units.
  2. Choose the shape and enter its size. For a ball you can enter the circumference you measured with a tape instead of the diameter. For a dome, enter how wide it is across the opening (the span) and how high it rises.
  3. Enter the number of gores. More gores make a rounder shape with narrower pieces.
  4. For thick foam or metal, say whether your size is to the outside or inside and enter the thickness. Add a seam allowance (sewing) or an overlap on one edge (cladding), a top disc to avoid a bulky point, or a straight wall under a dome.
  5. Download the PDF and print it at 100% / Actual size (measure the rulers first), or the DXF/SVGfor a cutting machine. Every setting is in the page address, so you can share the exact pattern.

How the gore shape is worked out

Each gore is drawn the standard way: a straight centreline, with the width set off square to it. At a distance s from the top, measured along the curve of a sphere of radius R, the gore is as wide as that slice of the sphere's circumference divided by the number of gores N:

width = 2π · R · sin(s / R) / N

So the widest point, at the equator, is the circumference divided by N, and a full gore is half the circumference long. A crown disc of diameter d simply starts the gores where the sphere is d across, and the N gore tops then add up to the disc's circumference.

Worked example: a 160 mm half sphere in 12 gores. Each gore is 125.7 mm long (π × 160 ÷ 4) and 41.9 mm wide at the base (π × 160 ÷ 12). Measured from the base, the width is 41.9 mm at 0 mm.

Many layout videos draw each side of a gore as a single compass arc. That is close for domes but leaves the panels slightly too full, which is why a scaled-up pattern can look like a pumpkin. The curve here is the exact one, sampled every quarter of a degree.

Not sure how many gores to use, or how to get a dome's radius from its span and rise? See how to make a sphere or dome pattern.

Fabric, foam and metal

Examples to start from

Limitations

Frequently asked questions

How many panels should a fabric ball have?
Six is the classic plush ball; 8 to 12 look rounder. With fewer than 6 the ball looks lumpy.
I only know the circumference. Is that enough?
Yes. Choose "Circumference" and enter it; the tool works out the diameter.
Do I add the seam allowance myself?
No. Enter it and the PDF, DXF and SVG include it, with the stitch line marked inside the cut line.
Is anything I enter sent to a server?
No. The pattern and the files are made in your browser. Your settings are kept in the page address so you can share them; see privacy for what the host and analytics receive.

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