Reticular　chemistry　offers　the　possibility　of　systematic　design　of　porous　materials　with　different　pores　by　varying　the　building　blocks,　while　the　emerging　porous　organic　cage　(POC)　system　remains　generally　unexplored.　A　series　of　new　POCs　with　dimeric　cages　with　odd-even　behaviors,　unprecedented　trimeric　triangular　prisms,　and　the　largest　recorded　hexameric　octahedra　have　been　prepared.　These　POCs　are　all　constructed　from　the　same　tetratopic　tetraformylresorcin[4]arene　cavitand　by　simply　varying　the　diamine　ligands　through　Schiff-base　reactions　and　are　fully　characterized　by　X-ray　crystallography,　gas　sorption　measurements,　NMR　spectroscopy,　and　mass　spectrometry.　The　odd-even　effects　in　the　POC　conformation　changes　of　the　[2　+　4]　dimeric　cages　have　been　confirmed　by　density　functional　theory　calculations,　which　are　the　first　examples　of　odd-even　effects　reported　in　the　cavitand-based　cage　system.　Moreover,　the　＂V＂　shape　phenylenediamine　linkers　are　responsible　for　the　novel　[3　+　6]　triangular　prisms.　The　window　size　and　environment　can　be　easily　functionalized　by　different　groups,　providing　a　promising　platform　for　the　construction　of　multivariate　POCs.　Use　of　linear　phenylenediamines　led　to　record-breakingly　large　[6　+　12]　truncated　octahedral　cages,　the　maximum　inner　cavity　diameters　and　volumes　of　which　could　be　readily　modulated　by　increasing　the　spacer　length　of　the　phenylenediamine　linkers.　This　work　can　lead　to　an　understanding　of　the　self-assembly　behaviors　of　POCs　and　also　sheds　light　on　the　rational　design　of　POC　materials　for　practical　applications.