NCERT Solutions Ganita Prakash (Part 2) Chapter 6 Figure it Out (9)

Region to be tiled Tile

Region to be tiled Tile Tiling the Entire Plane So far we have seen how to tile a given region. What about tiling the entire plane? Can you think of a shape whose copies can tile the entire plane? Clearly, squares can. What about equilateral triangles? another regular polygon. shapes! Here are some examples. (b) (a) These cells are used by the insects to keep their eggs, larvae and pupae safe, as well as to store food. Because the region is tiled, no space is wasted. Scientists still wonder how bees and wasps are able to make hexagonal cells. Next time you see any tiling, pay closer attention to it! Tiling is still one of the most exciting and active areas of research in geometry.