Rotational Symmetry
Rotational Symmetry
With Rotational Symmetry, the shape or image can be rotated and it still looks the same.
How many matches there are as you go once around is called the Order.

Examples of Different Rotational Symmetry Order
Order  Example Shape  Artwork 

(using Symmetry Artist)


... and there is also Order 5, 6, 7, and ...  
... and then there is Order 9, 10, and so on ... 
Try rotational symmetry yourself with Symmetry Artist ... !
Is there Rotational Symmetry of Order 1 ?
Not really! If a shape only matches itself once as you go around (ie it matches itself after one full rotation) there is really no symmetry at all ...
... because the word "Symmetry" comes from syn together and metron measure, and there can't be "together" if there is just one thing.
Real World Examples
A Dartboard has Rotational Symmetry of Order 10  The US Bronze Star Medal has Order 5  The London Eye has Order ... oops, I lost count! 