Magnetizabilities and magnetically induced current densities have been calculated and analyzed for a series of antiaromatic cyclo[4k]carbons (k=2-11), iso [n]phlorins (n=4-8), expanded porphyrinoids and meso-meso, β-β, β-β triple linked porphyrin and isophlorin arrays. The cyclo[4k]carbons with k=2-6 are predicted to be closed-shell paramagnetic molecules due to the very strong paratropic ring current combined with its large radius.Larger cyclo[4k]carbons with k=6-11 are diamagnetic, because they sustain a paratropic ring current whose strength is weaker than -20 nA T -1 , which seems to be the lower threshold value for closed-shell paramagnetism. This holds not only for cyclo[4k]carbons, but also for other organic molecules like expanded porphyrinoids and oligomers of porphyrinoids.The present study shows that meso-meso, β-β, β-β triple linked linear porphyrin and isophlorin arrays have a domain-like distribution of alternating diatropic and paratropic ring currents. The strength of their local paratropic ring currents is weaker than -20 nA T -1 in each domain. Therefore, linear porphyrin and isophlorin arrays become more diamagnetic with increasing length of the ribbon. For the same reason, square-shaped meso-meso, β-β, β-β triple linked free-base porphyrin and isophlorin tetramers as well as Zn(II) complex of the porphyrin tetramer are diamagnetic. We show that closed-shell molecules with large positive magnetizabilities can be designed by following the principle that a strong paratropic current ring combined with a large ring-current radius leads to closed-shell paramagnetism.of the ring current. The largest member of the series namely iso[8]phlorin has a magnetizability of 3532 a.u., because it sustains a very strong ring current of -617 nA T -1 whose radius is 5.3 Å. Calculations on expanded porphyrins fulfilling Hückel's rule for antiaromaticity show that orangarin, rosarin, amethyrin are diamagnetic, since they sustain paratropic ring currents that a weaker than -20 nA T -1 . The largest member of that series is the hypothetic circle-shaped [40]octaphyrin(1.1.1.1.1.1.1.1) that sustains a strong paratropic ring current of -561 nA T -1 whose radius is 5.3 Å. The circle-shaped [40]octaphyrin(1.1.1.1.1.1.1.1) molecule is therefore strongly paramagnetic with a magnetizability of 3244 a.u.