What happens when quark stars carry both electric and magnetic charge?

Quark stars — hypothetical dense objects made of free quarks — normally trace a characteristic hook shape in mass-radius diagrams. Giving them both electric and magnetic charge (dyonic) within a dark energy framework called quasi-topological electromagnetism births an entirely new second family of solutions: stars with a positive-pressure core wrapped in a negative-pressure envelope. As the charge ratio changes, the two branches merge and deform into a 'paperclip' shape, suggesting exotic stellar configurations that could, in principle, carry observable signatures.