6-Pointed Star

Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green BayXbr> First-time Visitors: Please visit Site Map and Disclaimer. Use "Back" to return here.

Exact methods for creating 6-pointed stars depend on the handy identity cos 60 = 1/2. It's almost as easy to make a 6-pointed star as the more familiar 8-pointed stars. Needless to say, you can repeatedly bisect the angle to make 12- or 24- pointed patterns.

Start with a square piece of paper folded in half as shown. The crease is at bottom.
Fold it in half again
Unfold it to reveal the center crease
Fold one half inward so the end of the paper meets the center crease
Unfold it to reveal the new crease
Fold the lower left corner over to the rightmost crease as shown. Since the upturned lower edge equals 1/2 and the bottom edge of the narrow rectangle equals 1/4, it's easy to see that the upturned edge makes an exact 60-degree angle with the base of the paper.
Fold in the lower right corner to make a 60-degree wedge. This wedge can be the basis for three-fold symmetric designs, or you can bisect the wedge to make 6- or 12- pointed stars.
The wedge bisected to create a 30-degree angle.
Cut the wedge as desired and unfold as shown below.
Below is the process animated.

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Created 22 March 2006, Last Update 14 December 2009