Half Square Triangle Calculator

Every HST starts from squares, the question is how many at once. Two at a time keeps edges on grain with the famous ⅞ rule; the magic eight turns two big squares into eight identical units. Enter the finished size and your count; both cutting lists follow.

Your HSTs

Method

Cut

32squares

16 pairings of 4″ squares · 32 HSTs

Pair squares, draw one diagonal, sew ¼″ each side, cut the line, two per pairing. Trim to 3 ½″.
  • Starting square4″ (oversize)
  • Squares to cut32, half light, half dark
  • HSTs per pairing2
  • Trim each unit to3 ½″

The Formulas

Two at a Time

starting squares = finished + ⅞  ·  one pair of squares = 2 HSTs

Magic Eight

starting squares = (finished + ⅞) × 2  ·  one pair = 8 HSTs

The ⅞ pays for the diagonal seam’s bias corners. Trimmers round it to a whole inch, finished + 1: sew, and square the unit down: a half-minute per HST that buys perfect points.

Worked Example

Thirty-two HSTs at 3 in finished, magic eight, trimming:

  • Starting square: (3 + 1) × 2 = 8 in: two squares per batch of eight.
  • 32 ÷ 8 = 4 batches: eight 8 in squares in all, four light, four dark.
  • Sew ¼ in on both sides of both diagonals, cut the plus and the X: eight units each, trimmed to 3½.

HST Cut Chart

Finished2-at-a-time exact2-at, trimMagic 8 exactMagic 8, trim
2″2 ⅞″3″5 ¾″6″
2.5″3 ⅜″3 ½″6 ¾″7″
3″3 ⅞″4″7 ¾″8″
3.5″4 ⅜″4 ½″8 ¾″9″
4″4 ⅞″5″9 ¾″10″
5″5 ⅞″6″11 ¾″12″
6″6 ⅞″7″13 ¾″14″

Working Each Method

  • Two at a time: pair squares right sides together, draw one diagonal, sew ¼ in both sides, cut the line. Edges stay on grain, the units barely stretch.
  • Magic eight: same pairing, sew ¼ in beside both diagonals, then cut horizontal, vertical, and both diagonals. Fast, identical, but every edge is bias: press, don’t iron.
  • Trimming: line the ruler’s 45° on the seam, trim two sides, rotate, trim to unfinished size (finished + ½).

Assumptions and Defaults

  • Trim mode rounds the ⅞ to 1 (two-at) and sizes the magic-eight square from it.
  • A pinwheel takes 4 HSTs; the count field times any block’s HST count feeds the batch math.
  • Fabric pairs split evenly between the two prints.

HST Questions, Answered

What size squares do I cut for half square triangles?
For half square triangles made two at a time, cut squares at the finished size + ⅞ in, the well-known rule, and for the magic eight method cut squares at that figure doubled. Quilters who prefer to trim add 1 in instead and square the units down afterward, and the chart lists both columns.
How does the magic 8 HST method work?
The magic 8 method places two large squares right sides together, sews ¼ in on each side of both diagonals, and then makes four cuts: across, down, and along both diagonals. One pairing yields eight identical HSTs, so the example’s 32 units take only four pairings.
Why do HSTs add ⅞ of an inch?
HSTs add ⅞ in because the cut square needs ½ in for the two seam allowances on its outer edges plus about 0.35 in for the ¼ in seam running along the diagonal, which is ¼ × √2. Those add up to about 0.85 in, which quilters round up to the ruler’s ⅞, and that small extra is why careful piecers still trim.
How many HSTs do I need for a pinwheel quilt?
A pinwheel quilt needs four HSTs per pinwheel block, so a 48-block pinwheel throw takes 192 HSTs, or 24 magic eight pairings. Batches like this are exactly why the multi-unit methods exist, since they save hours of cutting and sewing.