Shady Symmetry
Charlie created a symmetrical pattern by shading in four squares on
a 3 by 3 square grid:
Alison created a symmetrical pattern by shading in two triangles on
a 3 by 3 isometric grid:
How many different symmetrical patterns
can you make?
Here are some questions
you might like to consider:
- How many different patterns can you make if you are only
allowed to shade in one... two... three... four cells?
- How does the number of patterns with 6 cells shaded relate to
the number with 3 cells shaded?
- Can you make patterns with exactly one... two... three... four
lines of symmetry?
- Can you make patterns with rotational symmetry AND lines of
symmetry?
- Can you make patterns with rotational symmetry but NO lines of
symmetry?
- Can you make patterns using more than one colour?
