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first the parametric equation of a sphere is X=cos(a)
Y= sin(a)*cos(b)
Z=sin(a)*sin(b)
the equation of a cube is of the same type except that you have to multiply X,Y,and Z by
A=(1+tan(a-pi/2*(floor((a+pi/4)/(pi/2))))²)^(1/2)
and Y and Z by
B=(1+tan(b-pi/2*(floor((b+pi/4)/(pi/2))))²)^(1/2)
And the result should be a cube
Ps: remove Z and take b=0 and you should have the equation of a 2D square, if you want explanations i can give you some but it's a bit long...
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∙ 11y ago
Nnamdi Okpala
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