Exploring a Basic Origami Move Origami books display many different folding moves that can be made with paper. One common move, especially in geometric folding, is the following: Given two points P1 and p2 and a line L, fold pi onto L so that the resulting crease line passes through p2. Let's explore this basic origami operation by seeing exactly what is happening when we fold a point to a line. Activity: Take a sheet of regular writing paper, and let one side of it be the line L. Choose a point p somewhere on the paper, perhaps like below. Your task is to fold p onto L over and over again. L p It is easier, actually, to fold L to p, by bending the paper until L touches p and then flattening the crease. Do this many times as many as you can stand! choosing different points p' where p lands on L. Question 1: Describe, as clearly as you can, exactly what you see happening. What are the crease lines forming? How does your choice the point p and the line L fit into this? Prove it.