Page Folding ~ Mimi Pohl © | ???? School District 2 (9/2013) () - (A111_x05) |
Computer circuits are very small; we have difficulty thinking about "length or area" at that scale. As things become small beyond our awareness, we use math to help us "go there." Here are two exercises that pull your mind to the idea "smallness" and how math helps obtain a solution.
1) Below left-most, 1. is a sketch of a square sheet of paper of dimension "L" and area "L x L." Upon "event" the page is folded in a rectangular way so as to have 1/2 its previous area (2.). Events thereafter follow the same the rule - each fold reduces the previous page area to 1/2 of what it was.
Obey this rule and tell us. What greatest number of folds can there be (but not one fold more) such that the after-event page area is: a) less than "1/5th L x L." b) less than "1/40th L X L."