Update on Paper folding polygon challenge

We looked at this problem again today and this time tried to investigate the maximum number of sides on a polygon we could create using one fold starting from paper that was different initial polygons.

With one fold, we found the that the biggest polygons we could make were as below:

Starting with a triangle, one fold produced at most a polygon with 7 sides (heptagon)
With a quadilateral (investigated last time), we got a maximum of 9 sides.
With a pentagon, one fold produced a maximum of 11 sides,
Heptagons folded once produced a maximum of 13 sides,
etc.

We think we have a definite pattern now and think we have a general expresssion to describe the largest polygon that can be made from a piece of paper with x sides using n folds now is:
Maximum number of sides in folded polygon = x(n+1) +1

Well done for trying so many good ideas Y6 to investigate this.

 

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