Half-square triangle and flying geese calculator

Updated by Khokhar Sab

Half-square triangle and flying geese calculator

Example: Cut 24 squares 3⅞" from each fabric, 48 units

Change these to your numbers. The answer updates as you type.

What are you making?

Finished size is the size the unit shows in the quilt, after it is sewn to its neighbors.

More options fabric width, selvage, exact or trim to size, extra fabric

Cutting bigger uses more fabric but lets you square up each unit, which hides small sewing and pressing errors.

Your cutting list

For 48 half-square triangles, 3" finished, two at a time: cut 24 from Fabric A and 24 from Fabric B.

  • Squares from each fabric24
  • Cut size3⅞"
  • Makes48 units
  • Buy of each fabric⅜ yd
Cutting list
Fabric A24 squares 3⅞"
Fabric B24 squares 3⅞"
Makes48 units, each 3½" before sewing into the quilt
Fabric A to buy⅜ yd (0.4 m), 3 strips 3⅞" wide
Fabric B to buy⅜ yd (0.4 m), 3 strips 3⅞" wide
Sewing diagram
Place the two squares right sides together. Draw a diagonal line, stitch ¼" on each side of it, then cut on the line. Press open for two units. Red dashes are stitching lines; solid dark lines are cuts.

Choose a method and the finished size. The calculator gives the squares to cut, how many units each set makes and how much of each fabric to buy. For 48 half-square triangles finished at 3 inches, two at a time, cut 24 squares of 3⅞ inches from each fabric: about ⅜ yard of each.

Half-square triangle patchwork in yellow prints and dark gray, for the half-square triangle calculator
Half-square triangles pieced in yellow and gray. Photo: Ingrid Scharlau, CC0, via Wikimedia Commons.

How to use the calculator

  1. Pick half-square triangles or flying geese, then the method you want to sew.
  2. Enter the finished size: the size each unit shows in the quilt. For flying geese, enter width and height; geese are usually twice as wide as they are tall.
  3. Enter how many units you need. The calculator rounds up to whole sets.
  4. For half-square triangles, choose exact cut sizes or cut bigger and trim. Check the fabric width, then read the cutting list and yardage for each fabric.

How the methods work

Two at a time. Place two squares right sides together, sew ¼ inch on each side of a drawn diagonal and cut apart on the line. Each pair makes two units with straight grain on the outside edges.

Four at a time. Sew two larger squares together all the way around the edge, then cut on both diagonals. It is quick, but the outer edges of every unit are on the bias, so press gently.

Eight at a time. Sew two squares about twice the size together on both sides of both diagonals. Then cut across the middle in both directions and along the diagonals.

Flying geese. One at a time sews a small square onto each end of a rectangle and trims the corners away. The four at a time method sews small squares to one large square in two rounds and wastes no fabric.

Formulas

Worked example: 48 half-square triangles

A pattern needs 48 HSTs that finish at 3 inches. Two at a time, each pair of squares makes 2 units, so you need 24 pairs: 24 squares of each fabric, cut 3 + ⅞ = 3⅞ inches.

From 40 inches of usable width, 10 squares of 3⅞ inches fit across a strip, so 24 squares take 3 strips 3⅞ inches wide. That is 11⅝ inches of each fabric, and with 10 percent extra the calculator suggests ⅜ yard of each. Made eight at a time instead, the same 48 units need just 6 squares of 7¾ inches from each fabric.

HST cut size chart

Exact cut sizes for each method. Add your trimming allowance if you like to square up.

Square sizes to cut for half-square triangles made two, four and eight at a time
Finished HSTUnfinished2 at a time4 at a time8 at a time
1½"2"2⅜"3⅜"4¾"
2"2½"2⅞"4⅛"5¾"
2½"3"3⅜"4⅞"6¾"
3"3½"3⅞"5½"7¾"
3½"4"4⅜"6¼"8¾"
4"4½"4⅞"7"9¾"
5"5½"5⅞"8⅜"11¾"
6"6½"6⅞"9¾"13¾"

Flying geese cut size chart

Square sizes for flying geese made four at a time
Finished geeseGoose square (1)Sky squares (4)Makes
3" × 1½"4¼"2⅜"4 geese
4" × 2"5¼"2⅞"4 geese
5" × 2½"6¼"3⅜"4 geese
6" × 3"7¼"3⅞"4 geese
8" × 4"9¼"4⅞"4 geese

Flying geese sizes for sawtooth star blocks

Flying geese often go into star blocks. In a sawtooth star, each goose finishes half the block wide and a quarter of the block tall, so a 12 inch star uses 3 by 6 inch geese. A star needs four geese, which is one batch made four at a time.

Flying geese finished sizes and cut sizes for sawtooth star blocks
Star blockGeese finish4 at a time: goose square4 at a time: sky squares1 at a time: rectangle1 at a time: sky squares
4"2" × 1"3¼" (1)1⅞" (4)2½" × 1½"1½" (2 per goose)
6"3" × 1½"4¼" (1)2⅜" (4)3½" × 2"2" (2 per goose)
8"4" × 2"5¼" (1)2⅞" (4)4½" × 2½"2½" (2 per goose)
10"5" × 2½"6¼" (1)3⅜" (4)5½" × 3"3" (2 per goose)
12"6" × 3"7¼" (1)3⅞" (4)6½" × 3½"3½" (2 per goose)

Four at a time only works when the goose is exactly twice as wide as it is tall. All four geese come from the diagonals of one square. For other shapes, use one at a time. Sew the corners you trim off into small bonus HSTs, as the Scrapish flying geese tutorial suggests.

How these sizes compare with published charts

Two at a time and eight at a time charts agree almost everywhere: finished plus ⅞ inch, and twice that. Four at a time varies more. Sarah Maker's chart gives 5½ inch squares for a 3 inch HST, the same as this calculator.

For a side-by-side look at the methods, including bias edges and the fabric each one uses, read the half-square triangle methods guide.

Tips for accurate units

Video tutorial

"Sew Easy: 8-at-a-Time Triangle Squares" by Fons & Porter's Love of Quilting, on YouTube. The video loads only when you press play.

Want the background first? Read our guide: Half-square triangles: which method to use.

Assumptions and sources

What the calculator assumes

Sources

See how we calculate for testing and corrections, and our editorial policy for how pages are made.

Frequently asked questions

What size square do I cut for a 3 inch half-square triangle?

For the two at a time method, cut 3⅞ inch squares: the finished size plus ⅞ inch. Two squares make two HSTs, each 3½ inches unfinished and 3 inches once sewn into the quilt. If you prefer to trim, cut 4½" squares and square the units up to 3½ inches.

Why add ⅞ inch for half-square triangles?

Half an inch is the usual seam allowance around the finished square (¼ inch each side). The extra ⅜ inch makes up for the seam that runs along the diagonal, which takes more fabric than a straight edge.

Which HST method should I use?

Two at a time is the easiest to sew accurately and keeps straight grain on the outer edges. Four at a time is quick but leaves the outer edges on the bias, so they stretch. Eight at a time is the fastest way to make a lot of matching units from two fabrics.

What size squares for no-waste flying geese?

Cut one large square the finished width plus 1¼ inches from the goose fabric, and four small squares the finished height plus ⅞ inch from the sky fabric. They make four geese. For 4 by 2 inch geese that is one 5¼ inch square and four 2⅞ inch squares.

Why does the calculator make more units than I asked for?

Each method makes units in sets of 2, 4 or 8. If you need 50 HSTs and make them eight at a time, you have to sew 7 sets, which gives 56. The extras are handy for testing your layout or replacing a unit that came out badly.

Should I cut exact sizes or cut bigger and trim?

Exact sizes use less fabric and need no trimming if your ¼ inch seam is accurate. Cutting bigger and trimming each unit takes longer but gives perfectly sized units even when the seam or pressing drifts a little.

What size flying geese do I need for a 12 inch sawtooth star?

Geese that finish 3 by 6 inches. In a sawtooth star each goose is half the block wide and a quarter of the block tall. Four at a time, cut one 7¼ inch square and four 3⅞ inch squares for every four geese.

Can I make flying geese four at a time if they are not twice as wide as tall?

No. The four at a time method only works for geese that are exactly twice as wide as they are tall. All four geese come from the diagonals of one square. For any other shape, choose one at a time, which is a rectangle with a square sewn on each end.

Guides for this calculator

Handy reference charts