Debasish's blogs

The solution of  how to fold it the equilateral triangle. figure htfi.1 Fold the square in to half from vertical side and half again twice from horizontal figure htfi.2 then open the paper to half you can see three lines of cut marks on the paper as shown. Then take the bottom one to the second fold and get the 3rd part split in to half. figure htfi.3  Consider the 2nd part as the two third of the height of triangle and top half of thrid part as the one third of height of triangle. The red line in the figure htfi.3 as the base of the triangle. Then from the center connect the base by folding the upper part of height of triangle as shown. figure htfi.4 Move point P in the figure  around point O such that it touches the base line of triangle and then we have found our other two vertexes of triangle. figure htfi.5 Fold the paper along the line which joins the newly found vertex Q and the center O. Then cut straight along the base li

I just came across a book named "HOW TO FOLD IT" by Joseph O'Rourke. And I find it very interesting and there is a problem which states: Fold a square paper such that you can cut an equilateral triangle with one cut with a scissor. For example : Cutting a square with one cut: Fold it from diagonal like this Fold it from another diagonal again Then cut straight and you will get a square Observed the example. Now try to do with a equilateral triangle in a square For solution click here .