[Woodcarver] Thirteen Point Star
Edward Cusson
cussed at comcast.net
Fri Oct 1 07:41:41 EDT 2004
Thirteen Point Star:
To create a thirteen point star. Construct a circle whose
circumference is 13 inches. This is a circle of radius 2.069
inches. Recall that dividers are set to the chord length not the arc
length. So to step off 13 one-inch points along this circumference one
needs to calculate the length of the chord whose radius is 2.069 inches and
whose included angle is 27.692 degrees. To set the dividers to properly
step off thirteen points one must use the law of the cosines to calculate
the chord length . Using a radius of 2.069 inches and an included angle of
27.692 degree leads to a chord length of .981 inches. Set your dividers to
this length and now you can step off exactly thirteen points along the
circumference. To generate different star sizes project rays from the
center through the points along the circumference to any desired length and
draw a new circle for the required size and connect the points to form the
wanted star. Hope that this helps.
Ed
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