Strip to Pentagon

 

Solution

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Puzzle 1. Fold the side AB so that it lies along BC, and find E so that BE equals AB. Then unfold the side AB. See Step 1 in the Solution to Puzzle 1.
Now fold the strip as shown in Step 2; point A lies on EC. This will give you the point F.
Fold the strip back as shown in Step 3; its edge AC lies along AB. This will give you the last point G. You already have the shape of a perfect pentagon.
Finally, fold the rest of the strip as shown in Step 4, and a perfect pentagon is ready!

Puzzle 2. Neatly tie the strip in a knot, and then gently press it (while continuing very gently to tighten it). This allows to make the knot flat. See Step 1 in the Solution to Puzzle 2. As you can see the knot itself is a perfect pentagon already. So now fold the ends of the strip along its sides as shown in Step 2, and you get a perfect pentagon again!

 
Last Updated: October 24, 2006
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