536 Puzzles and Curious Problems

(Elliott) #1
334 Answers


  1. THE DAMAGED RUG


If we cut as in Figure I, the two pieces will fit together, as in Figure 2, and
form a square. The steps are 2 ft. wide and 1 ft. in height.


  1. FOLDING A HEXAGON


Fold through the midpoints of the
opposite sides and get the lines AOB
and COD. Also fold EH and FG, bi-
secting AO and OB. Turn over AK so
that K lies on the line EH, at the
point E, and then fold AE and EOG.
Similarly find H and fold AH and
HOF. Now fold BF, BG, EF and
HG, and EFBGHAE is the regular
hexagon required.


  1. FOLDING A PENTAGON


Fold AB on itself and find the mid-point E. Fold through EC. Lay EB on
EC and fold so as to get EF and FG. Make CH equal to CG. Find K,

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