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Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Tessellation Interactivity

Age 7 to 16
Challenge Level

Use the interactivity to investigate tessellations. You can also find the interactivity on our GeoGebra page.

To get started, click "show" to see the instructions, or watch our introductory video.

  • Choose a polygon from the toolbar at the top of the interactivity.
  • Click on any two points on the "canvas" to create your first polygon.
  • Select the arrow tool and move either of the two points to rotate and/or resize your polygon.
  • You can add more shapes by selecting a polygon tool and clicking any two points.
  • If you want your shapes to join together, click on existing points - the new shape is always drawn in an anti-clockwise direction from the first point you choose.
  • To delete a polygon or point, select the dustbin tool and click on the object to be deleted.
  • If you want to draw a polygon with more than 8 sides click on the octagon to access the rest of the available polygons.