Quilt Math

Quilts set on point: setting triangles and size

A block set on point is turned to stand on a corner. It then takes up its diagonal, the side times the square root of two, about 1.414 × the side, so a quilt on point is larger than the same blocks set straight.

The edges are filled with triangles. Side triangles have their long edge on the outside of the quilt, and that edge should be on the straight grain so that it does not stretch; they are cut by slicing a square twice, corner to corner, which gives four. The square is the block's diagonal plus an inch and a quarter. The four corner triangles have their short edges outside and are cut by slicing a smaller square once: the block's side divided by the square root of two, plus seven eighths of an inch.

Neither figure lands on a ruler mark, so they are rounded up, and sources round differently: one worked example goes to the next eighth, a popular chart to the next quarter and in places further. The calculator shows the raw figure and lets you choose the mark. A slightly large triangle is no problem, because the edge of the quilt is trimmed square after the top is sewn.

For a layout counted as blocks along the top edge and blocks down the side, the rows between hold one block fewer. The side triangles number twice the blocks across less one, plus twice the blocks down less one, and every square gives four.

Chart: square for side setting triangles, by block size and rounding

Each cell is the square to cut twice corner to corner for the finished block size in its row, rounded up to the next quarter inch, the next eighth, or not at all.

Round the squares up to
Finished block sizeThe next quarter inchThe next eighth of an inchNo rounding
4 in7.000 in7.000 in6.907 in
5 in8.500 in8.375 in8.321 in
6 in9.750 in9.750 in9.735 in
7 in11.250 in11.250 in11.149 in
8 in12.750 in12.625 in12.564 in
9 in14.000 in14.000 in13.978 in
10 in15.500 in15.500 in15.392 in
12 in18.250 in18.250 in18.221 in
14 in21.250 in21.125 in21.049 in
16 in24.000 in24.000 in23.877 in

Work out your own numbers: Setting triangles calculator

Chart: square for corner setting triangles, by block size and rounding

Each cell is the square to cut once corner to corner for the finished block size in its row. Two squares give the four corners.

Round the squares up to
Finished block sizeThe next quarter inchThe next eighth of an inchNo rounding
4 in3.750 in3.750 in3.703 in
5 in4.500 in4.500 in4.411 in
6 in5.250 in5.125 in5.118 in
7 in6.000 in5.875 in5.825 in
8 in6.750 in6.625 in6.532 in
9 in7.250 in7.250 in7.239 in
10 in8.000 in8.000 in7.946 in
12 in9.500 in9.375 in9.360 in
14 in11.000 in10.875 in10.774 in
16 in12.250 in12.250 in12.189 in

Work out your own numbers: Setting triangles calculator

Chart: width of a quilt set on point, by block size and blocks across

Each cell is the width of the pieced quilt before borders for the block size in its row and the number of blocks along the top edge in its column.

Blocks across
Finished block size2 pcs3 pcs4 pcs5 pcs6 pcs
6 in17.0 in25.5 in33.9 in42.4 in50.9 in
8 in22.6 in33.9 in45.3 in56.6 in67.9 in
9 in25.5 in38.2 in50.9 in63.6 in76.4 in
10 in28.3 in42.4 in56.6 in70.7 in84.9 in
12 in33.9 in50.9 in67.9 in84.9 in101.8 in
14 in39.6 in59.4 in79.2 in99.0 in118.8 in

Work out your own numbers: Setting triangles calculator

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