Fold a Regular Pentagon

0105-i

A square and a pentagon seem to inhabit different worlds. The square's right angles seem incompatible with the pentagon's interesting shape. At first glance it doesn't seem likely that you could fold one from the other. The saying "You can't get there from here." comes to mind. Yet, through a shared connection with the golden mean, you can create a regular pentagon from a square piece of paper.


Steps

  1. fold in halfFold a square piece of paper in half. Open.
  2. fold diagonal of halfFold a diagonal of the right half.
  3. fold edge up along creaseFold the bottom edge up so it lines up with the last crease.
  4. fold point to corner of paperFold along the existing crease line so the point touches what was the bottom left corner of the paper. Open.
  5. fold edge to intersectionFold the paper so that the crease goes through the top middle of the paper and the left edge of the paper touches the intersection of the two creases in the right half of the paper.
  6. fold corner backFold the corner of the paper back along the crease line on the paper below it. Open the paper.
  7. fold in halfFold the paper in half again.
  8. fold corner down along creaseFold along the previous crease.
  9. fold edge in halfFold the new crease in half.
  10. fold along edge of paperFold down along the edge of the paper.
  11. fold left edge to meet other edgeFold so the right-hand edge lines up with the edge.
  12. fold back where edges meetFold a mountain fold where the edges meet, folding the lower part back behind the upper part.
  13. fold along edgeFold a sharp crease along the edge of the paper shown. This crease will be the pentagon.
  14. pentagon creases in paperOpen the paper to see a pentagon.

Notes

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