by Brad Simmons
Use geometer's sketchpad to create tessellations.
A tessellation is a tiling pattern made of polygons. The pattern can be extended so that the polygonal tiles cover the plane completely with no gaps. A checkerboard and a honeycomb pattern are examples of tessellations.
Sometimes the same polygon can make more than one tessellation pattern. Both patterns below can be formed from an isosceles triangle.
Please click here for a geometer's sketchpad sketch of the figures shown above.
Draw a tessellation using each polygon.
Draw two different tessellations using each polygon.
Please click here for a geometer's sketchpad sketch containing the figures shown above.