Tiling the Plane.

Activity #1

 Which Regular Plane Figures Tile a Plane? 

A regular plane figure is a plane figure whose sides and interior angles are all the same. A square is a regular plane figure for example. So, in the following activity, you are going to figure out which regular plane figures tile a plane. The instructions are here below.

  • Move the “vertices” slider in the applet below to start at 3.​
  • Use the red circle to rotate the figure to form a tessellation. Any direction you choose is ok.​​
  • Repeat the steps with different number of sides up to 15. (Note: For tiling to occur, there must be no gaps or overlaps.)