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 Post subject: Maths helpPosted: Sun Jan 13, 2008 12:38 pm

Joined: Mon Jul 23, 2007 2:01 pm
Posts: 4
Hi

can anyone advise where you can find out the order of rotation of a square?

tks!

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 Post subject: Posted: Sun Jan 13, 2008 1:51 pm

Joined: Tue Jan 01, 2008 1:05 pm
Posts: 515
Visualise a square. That is its first order. Rotate it about its mid-point until it arrives back at the start position. Each time it it looks the same as the start position, that is another order of rotation. Therefore, the order of rotation is 4.

I think.

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 Post subject: Posted: Sun Jan 13, 2008 4:15 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11934
Yes it is order 4 - you rotate 360 degrees and count the number of matches - it's a good idea to mark the start point to help you count!

A rectangle is of order 2.

A kite is order 0 or order 1 depending on the definition ....

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 Post subject: Posted: Mon Jan 14, 2008 5:48 pm

Joined: Tue Jan 01, 2008 1:05 pm
Posts: 515
http://www.bbc.co.uk/schools/ks3bitesiz ... ry_3.shtml

Above may help. I do find the rule of defining a a shape with no rotational symmetry as order 0 unhelpful. It is, in my opinion, inconsistent with the remainder of order definitions.

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 Post subject: Posted: Mon Jan 14, 2008 6:46 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11934
Some books say order 1 so it is confusing!

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