home angliacampus Curriculum materials for students, schools and colleges created by MathsNet in partnership with AngliaCampus. Info
Tech
Rotation
Use your mouse to rotate the hexagon.

In how many different positions does it cover itself exactly?


Result:
Try the equilateral triangle and the rectangle too.
Please enable Java for an interactive construction (with Cinderella).
Each answer is called the order of rotational symmetry
a0 a1 a2 a1 a1
b0 you are here b2 b3 b4
c0 c1 c2 c3 c4
d0 d1 d2 d3 d4
e0 e1 e2 e3 e4
f0 f1 f2 f3 f4
g0 g1 g2 g3 g4
© MathsNet 2000