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Calculating the Number of Hexagons for a Quilt

 Calculate the number of hexagons required for a quilt. What you need to know is how big you want the quilt to be and what size hexagons you will be using.

The Variables

W = width of quilt

L = length of quilt

d = size of hexagon (finished)
(decimal, 1/4" hexagon is .25)

 Provide Quilt Parameters Quilt width: W = inch Quilt length: L = inch Hexagon size: d = inch The numbers # of columns: # of rows: # of hexagons: # of half hexagons: Actual size of quilt top Width: inches Length: inches Figure 1

The Equations - Always round up to nearest whole number.

 # columns = X = W / (d * 1.732)
 # rows = Y = (2L - d) / 3d If Y is even, subtract 1 so that Y is odd.
 # hexagons = (((Y3 / 2) + 0.5) * X2) + (((Y3 / 2) - 0.5) * ( X2 - 1))
 # half hexagons = ((Y3 / 2) - 0.5) * 2

Example (Double size quilt)

W = 80", L = 95", d = 1"

 # columns = X = 80 / (1 * 1.732) = 46.189 = 47
 # rows = Y = ((2 * 95) - 1) / (3 * 1) = 63
 # hexagons = (((63 / 2) + 0.5) * 47) + (((63 / 2) - 0.5) * ( 47 - 1)) = 2930
 # half hexagons = ((63 / 2) - 0.5) * 2 = 62

Actual Size of Quilt

 W = Xd(1.732) = 47(1)(1.732) = 81.40"
 L = (((Y - 1) / 2) * 3 d) + 2 d = ((15-1)/2) * (3)(1) + (2)(1) = 23

 Standard Quilt Sizes Crib Twin Twin (Long) Double (Full) Queen King Mattress 27" x 52" 39" x 75" 39" x 80" 54" x 75" 60" x 80" 76" x 80" Quilt with Dust ruffle 30" x 54" 65" x 95" 65" x 100" 80" x 95" 86" x 100" 106" x 106"
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