Our bodies mediate every interaction with technology, yet - as soma design and feminist HCI remind us - the body is not a neutral canvas. We introduce and examine felt asymmetries - somaesthetic experiences of difference in the body - as a site for generative and critical engagement in interaction design. Through an autobiographical design exploration, and a series of somatic explorations with nine designers including individual inquiries and workshops, we sensitised to, articulated, and shared personal experiences of asymmetry. We draw from these explorations to contribute: (1) Opening a design space exploring the aesthetics of felt asymmetries; (2) Reflections on engaging with asymmetry in design, e.g. as a design material, an estrangement activity or doorway into intimate experience; (3) Considerations for creating technologies that resonate with, rather than erase, the asymmetries of lived experience. We argue that bodily asymmetries are not only to be accommodated in design, but embraced as aesthetic resources - sources of joy, tension, and creativity.