Equation for a square

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
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Joined: Thu Nov 05, 2015 12:37 am

Equation for a square

Postby ilan » Thu Nov 05, 2015 12:47 am

Hello, I remember from school that a square is defined by 4 first degree equations (ax + b ) with limits for X and Y ( inequalities).

However, a square is a closed line , as much as a circle. So is there any way to define it with one equation, as we do with a circle x^2 + y ^2 = 1 ?

Suppose the square is within a circle . So have the equation for the circle. I saw in the wikipedia there's a form called astroid x^(2/3) + y^(2/3) = 1. It ressembles already to a square ... So maybe joining both a circle and an astroid can lead to an answer ? It seems to me the usual algebraic definition for a square in a graph , with its inequalties is much less esthetic than one euqation.


thank you

ilan etam

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Joined: Mon Dec 08, 2008 12:32 am

Re: Equation for a square

Postby maggiemagnet » Fri Nov 06, 2015 2:09 am

But that "astroid" is a curve. A square isn't curved, so the same kind of equation probably won't work. The only thing I could find is stuff like here. Good luck!

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