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Metamorphoses of small \(k\)-wheel systems for \(k = 3, 4,\) and \(6\) are obtained. In particular, we obtain simultaneous metamorphoses of: \(3\)-wheel systems into Steiner triple systems and into \(K_{1,3}\)-designs; \(4\)-wheel systems into \(4\)-cycle systems, \(K_{1,4}\)-designs, and bowtie systems; \(6\)-wheel systems into \(6\)-cycle systems, \(K_{1,6}\)-designs, and \(3\)-windmill designs or near-\(3\)-windmill designs.