Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Can you make the most extraordinary, the most amazing, the most
unusual patterns/designs from these triangles which are made in
a Using different numbers of sticks, how many different
triangles are you able to make? Can you make any rules about the
numbers of sticks that make the most triangles? If you split the
square into these two pieces, it is possible to fit the pieces
together again to make a new shape. How many new shapes can you
make? What is the smallest cuboid that you can put in this box
so that you cannot fit another that's the same into it? How can
you arrange the 5 cubes so that you need the smallest number of
Brush Loads of paint to cover them? Try with other numbers of
cubes as well. NRICH December 2006 advent calendar - a new
tangram for each day in the run-up to Christmas. This practical
investigation invites you to make tessellating shapes in a
similar way to the ar