Make an equilateral triangle by folding paper and use it to make patterns of your own.
Can you explain why it is impossible to construct this triangle?
Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
If the yellow equilateral triangle is taken as the unit for area, what size is the hole ?
Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?
Using the interactivity, can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?