In the applet below is a shape that tessellates the plane. That is to say, multiple copies of the shape--when rotated and pieced together--will fill the entire plane as far as you like in any direction.[br][br]This particular shape was created using M.C. Escher's "Hexagon Tessellation Trick". [br][br]Drag any of the red dots to explore M.C. Escher's "Hexagon Tessellation Trick." Different dots do different things. As you move the red dots, ask yourself:[br][br]What do you think is M.C. Escher's "Hexagon Tessellation Trick" for creating tessellating shapes?
Can the 120 degree angles be changed?
Do the big red dots do something different than the little red dots?
Write a draft of the rules that govern M.C. Escher's "Hexagon Tessellation Trick".