Far from impossible, it&#x27;s even reasonably intutitive. Wikipedia has an excellent graphic <a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;File:Fourier_transform_time_and_frequency_domains_%28small%29.gif" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;File:Fourier_transform_time_an...</a>.<p>Then for people for which that&#x27;s too abstract, I find this graphic helps a lot in explaining. <a href="http:&#x2F;&#x2F;static.nautil.us&#x2F;1635_42a3964579017f3cb42b26605b9ae8ef.png" rel="nofollow">http:&#x2F;&#x2F;static.nautil.us&#x2F;1635_42a3964579017f3cb42b26605b9ae8e...</a><p>You picked a really bad example for the unintutiveness of mathematics.