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 Post subject: Rotational SymmetryPosted: Sat Dec 14, 2013 12:13 pm

Joined: Mon Feb 22, 2010 2:50 pm
Posts: 533
I can't find a definitive answer on the following. If a shape, for example and an isosceles triangle, can only rotate into itself once in 360 degrees, would this be classed as having rotational symmetry of 1 or 0? I have always understood this to be 0 as if it can only rotate once this is not rotational symmetry but DS insists it is 1.

Any feedback greatly appreciated. Thanks.

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 Post subject: Re: Rotational SymmetryPosted: Sat Dec 14, 2013 12:16 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11936
This is a really good question!

Some books say 'rotational symmetry of order 1' and others say no rotational symmetry.

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 Post subject: Re: Rotational SymmetryPosted: Sat Dec 14, 2013 1:09 pm

Joined: Mon Feb 22, 2010 2:50 pm
Posts: 533
Interesting; maybe it is safer then to record it as one as it shows that the child understands that it can only go into itself once. Thanks.

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 Post subject: Re: Rotational SymmetryPosted: Mon Dec 16, 2013 10:51 am

Joined: Fri Oct 11, 2013 8:55 am
Posts: 500
According to wikepdia it looks as thought the answer is 1.

http://en.wikipedia.org/wiki/Rotational_symmetry

Although personally I find this a bit meaningless because that means that ANY random non-symmetrical object or shape has a rotational symmetry of 1.

But I guess that's just the way its defined.

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