"Circulant weighing matrices" We will put these combinatorial objects in perspective with related combinatorial designs: Symmetric designs, Difference Sets, Hadamard matrices, Weighing matrices, and Finite projective planes. We will briefly mention famous open conjectures and open problems: Hadamard conjecture, Circulant Hadamard conjecture, Multiplier conjecture for Abelian difference sets. We will conclude with surveying the known facts in this field and my discoveries: CW(71,25), CW(87,49) and CW(24,9).