How can you represent a sphere with parametric equations?

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1 comment, last by Xgkkp 21 years, 11 months ago
? or, generally and 3-d sphere. Not generating the points, representing them as an equation. ( or set of )
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P=(x0,y0,z0) is the sphere ''s centre , R is the radius

(x-x0)^2+(y-y0)^2+(z-z0)^=r^2

in parametric form we have the spherical coordinates

x=R*sen(a)*cos(b)
y=R*sen(a)*sen(b)
z=R*cos(a)

0<=a<=Pi , 0<=b<=2*Pi

from spherical to carthesian
R=sqrt(x^2+y^2+z?2 ) , a=atan(y/x) , b=atan(sqrt(x^2+y^2))/z


http://www.google.com/search?q=%20How%20can%20you%20represent%20a%20sphere%20with%20parametric%20equations%3F%20

well, to me the result of your topic name looks quite interesting, not?

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