Can you dissect an equilateral triangle into 6 smaller ones? What
number of smaller equilateral triangles is it NOT possible to
dissect a larger equilateral triangle into?
Can you find out how the 6-triangle shape is transformed in these
tessellations? Will the tessellations go on for ever? Why or why
Investigate these hexagons drawn from different sized equilateral
Find all the DIFFERENT shapes that can be made by joining five
equilateral triangles edge to edge.
Here's an example: