The notion of twins and twinning involves a multiplicity of meanings and contexts that altogether encompass an unexpectedly wide and significant part of human experience, culture, and endeavor. This cultural polysemy is, to some extent, also an attribute of twin research, which has structured itself around a multiplicity of scientific areas of enquiry, and across time, throughout a multiplicity of births and rebirths, periodically declining and resurging as a phoenix from its ashes. What is proposed is a short voyage through this polysemy and phoenixity of twinning and twin research, and through the structuring process that has accompanied its developments, international scope, and organization. No claim to completeness, but an attempt to dig into personal memory and experience, and share some recollections of the main steps of the process, and particularly the evolution of the journal, the society, the international meetings, and their role in supporting the area's persistence and continuous revivals and adaptations until today.