Inverse Fourier Transform of a shape

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Hey guys I need some help to inverse fourier transform of this shape. The question is that:

a) determine the minimum sampling density if this signal is sampled with "rectangular sampling matrix"

b) If ahexagonal sampling matrix is applied to the same original signal,what coud be the minimum sampling density?

I have some formulas to solve this question but first of all I need the original signal.I stuck in beginnig


Also this graph: enter image description here