Fernhart Labs.

Half-square triangle, hourglass and flying geese cutting chart

Short answer

With a ¼" seam: half-square triangles = finished size + ⅞" (2 at a time) or 2 × (finished + ⅞") (8 at a time); hourglass (quarter-square) units = finished + 1¼"; no-waste flying geese = one square of width + 1¼" and four of height + ⅞".

If you would rather trim to size, cut half-square triangles at finished + 1" and hourglass units at + 1½", then trim to finished + ½".

Half- and quarter-square triangle chart

Each row is one finished unit size. "2 at a time" means two squares (one of each fabric) sewn ¼" either side of the diagonal give two units; "8 at a time" means two larger squares sewn around both diagonals give eight.

Square to cut for half- and quarter-square triangle units, ¼" seam
Finished unitHST, 2 at a timeHST, 8 at a timeHST, oversizeQST (hourglass), 2 at a timeQST, oversize
1"1 7/8"3 3/4"2", trim to 1 1/2"2 1/4"2 1/2", trim to 1 1/2"
1 1/2"2 3/8"4 3/4"2 1/2", trim to 2"2 3/4"3", trim to 2"
2"2 7/8"5 3/4"3", trim to 2 1/2"3 1/4"3 1/2", trim to 2 1/2"
2 1/2"3 3/8"6 3/4"3 1/2", trim to 3"3 3/4"4", trim to 3"
3"3 7/8"7 3/4"4", trim to 3 1/2"4 1/4"4 1/2", trim to 3 1/2"
3 1/2"4 3/8"8 3/4"4 1/2", trim to 4"4 3/4"5", trim to 4"
4"4 7/8"9 3/4"5", trim to 4 1/2"5 1/4"5 1/2", trim to 4 1/2"
4 1/2"5 3/8"10 3/4"5 1/2", trim to 5"5 3/4"6", trim to 5"
5"5 7/8"11 3/4"6", trim to 5 1/2"6 1/4"6 1/2", trim to 5 1/2"
6"6 7/8"13 3/4"7", trim to 6 1/2"7 1/4"7 1/2", trim to 6 1/2"
7"7 7/8"15 3/4"8", trim to 7 1/2"8 1/4"8 1/2", trim to 7 1/2"
8"8 7/8"17 3/4"9", trim to 8 1/2"9 1/4"9 1/2", trim to 8 1/2"
9"9 7/8"19 3/4"10", trim to 9 1/2"10 1/4"10 1/2", trim to 9 1/2"
10"10 7/8"21 3/4"11", trim to 10 1/2"11 1/4"11 1/2", trim to 10 1/2"
12"12 7/8"25 3/4"13", trim to 12 1/2"13 1/4"13 1/2", trim to 12 1/2"

Computed with Quiltsmith's cutting engine, ¼" seam, rounded up to the ⅛".

Flying geese chart

Flying geese are twice as wide as they are tall. The no-waste method makes four geese from one large square and four small ones; stitch and flip makes one goose from a rectangle and two squares, and trims away the corners.

Flying geese cutting sizes, ¼" seam
Finished goose (w × h)No-waste: goose (makes 4)No-waste: sky (makes 4)Stitch-and-flip: goose rectangleStitch-and-flip: sky
2" × 1"1 square 3 1/4"4 squares 1 7/8"1 1/2" × 2 1/2"2 squares 1 1/2"
3" × 1 1/2"1 square 4 1/4"4 squares 2 3/8"2" × 3 1/2"2 squares 2"
4" × 2"1 square 5 1/4"4 squares 2 7/8"2 1/2" × 4 1/2"2 squares 2 1/2"
5" × 2 1/2"1 square 6 1/4"4 squares 3 3/8"3" × 5 1/2"2 squares 3"
6" × 3"1 square 7 1/4"4 squares 3 7/8"3 1/2" × 6 1/2"2 squares 3 1/2"
7" × 3 1/2"1 square 8 1/4"4 squares 4 3/8"4" × 7 1/2"2 squares 4"
8" × 4"1 square 9 1/4"4 squares 4 7/8"4 1/2" × 8 1/2"2 squares 4 1/2"
9" × 4 1/2"1 square 10 1/4"4 squares 5 3/8"5" × 9 1/2"2 squares 5"
10" × 5"1 square 11 1/4"4 squares 5 7/8"5 1/2" × 10 1/2"2 squares 5 1/2"
12" × 6"1 square 13 1/4"4 squares 6 7/8"6 1/2" × 12 1/2"2 squares 6 1/2"

Setting triangles for blocks on point

When blocks are set on point, the edges are filled with side triangles (from a square cut twice on the diagonal, so the long edge is on the straight grain) and corner triangles (from a square cut once).

Setting triangles for blocks set on point (rounded up to the 1/8")
Finished blockSide triangles: square cut twiceCorner triangles: square cut once
3"5 1/2"3"
4"7"3 3/4"
5"8 3/8"4 1/2"
6"9 3/4"5 1/8"
7"11 1/4"5 7/8"
8"12 5/8"6 5/8"
9"14"7 1/4"
10"15 1/2"8"
12"18 1/4"9 3/8"
14"21 1/8"10 7/8"
15"22 1/2"11 1/2"
16"23 7/8"12 1/4"

Side = block × 1.414 + 1¼", corner = block ÷ 1.414 + ⅞", rounded up to the ⅛" as published charts do.

Where 7/8" and 1 1/4" come from

A triangle cut once on the diagonal loses more than two seam allowances along its long edge: the exact add-on is the seam × (2 + √2), which for a ¼" seam is 0.854", rounded up to ⅞". A triangle cut twice loses seam × (2 + 2√2) = 1.207", rounded up to 1¼". The same geometry gives the metric add-ons: 2.6 cm and 3.7 cm for a 0.75 cm seam.

Questions

What size square for a 3 inch finished half square triangle?

3⅞" squares, two at a time; or 4" squares if you prefer to trim them to 3½".

How do I make 8 half square triangles at once?

Cut two squares at 2 × (finished + ⅞"), for example 7¾" for 3" units, sew ¼" either side of both diagonals, then cut horizontally, vertically and on both diagonals.

What size to cut for 2 x 4 inch flying geese?

No-waste: one 5¼" square and four 2⅞" squares make four geese. Stitch and flip: one 2½" × 4½" rectangle and two 2½" squares make one.

Why do my half square triangles come out too small?

Usually a scant seam or a stretched bias edge. Cutting at finished + 1" and trimming afterwards gives accurate units.

What size square for a quarter square triangle?

Finished + 1¼" for hourglass units made two at a time, or + 1½" to trim down.

Quiltsmith: Quilt Designer

Quilt designer and quilting calculator: cutting plan and yardage.

Quiltsmith uses these exact rules for every block you design: choose 2- or 8-at-a-time triangles, no-waste or stitch-and-flip geese, exact or oversize, and the cutting plan and yardage update for the whole quilt, in inches or centimetres.

Coming to Google Play

Sources

  1. Utah State University Extension, Half Square Triangles (finished + 7/8") extension.usu.edu
  2. Rocky Mountain Sewing, Eight half square triangles made easy (2" finished → 5¾" squares) rockymountainsewing.com
  3. Fons & Porter's Love of Quilting via Quilting Daily, 8-at-a-time triangle squares quiltingdaily.com
  4. OLFA, How to make and trim quarter square triangles (finished + 1¼") olfa.com
  5. Create Whimsy, How to make a quarter-square triangle block (3" → 4¼") createwhimsy.com
  6. Connie Kresin, Flying Geese Four at a Time (4 × 2" → 5¼" and 2⅞") conniekresin.com
  7. OLFA, How to make no-waste flying geese olfa.com
  8. String & Story, How to make flying geese (stitch and flip) stringandstory.com
  9. C&T Publishing, Quilting tips: setting triangles (6" block → 9¾" and 5⅛") ctpub.com
  10. Quilter's Cache (Marcia Hohn), How to make setting triangles, with a 4–16" chart quilterscache.com

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