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[Jordi Mas <jmas@xxxxxxxxxxxxxx>]

My understanding is that rhombus and diamond are equivalent. As you
point out, could also rightly be called "square".

See the Cambridge dictionary for rhombus[1]:

"a flat shape which has four sides that are all of equal length"

or the Merriam Webster for rhombus[2]:

"a parallelogram with four equal sides and sometimes one with no right
angles"

It seems basically that the angles property is optional. This actually
briefly mention in the Wikipedia article[3]:

"Every rhombus is a parallelogram, and a rhombus with right angles is a
square. (Euclid's original definition and some English dictionaries'
definition of rhombus excludes squares, but modern mathematicians prefer
the inclusive definition.)"

For me the best solution is to find a well-know shape that cannot be
confused with the others, like for example a Pentagon.

Regards,

Jordi,


[1] http://dictionary.cambridge.org/dictionary/british/rhombus
[2] http://www.merriam-webster.com/dictionary/rhombus
[3] http://en.wikipedia.org/wiki/Rhombus

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a perfect square is called "diamond"
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