How Do I Perform a Galilei and Lorentz Transform?

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Homework Statement
How do I prove that the wavefront of a spheric light wave (c^2 * t^2 = x^2 + y^2 + z^2 = r^2) is not Galilei-invariant but Lorentz-invariant?
Relevant Equations
c^2 * t^2 = x^2 + y^2 + z^2 = r^2
c^2 * t^2 = x^2 + y^2 + z^2 = r^2
 
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