  Twisting sheets as a strategy to form functional yarns relies on millennia of
human practice in making catguts and fabric wearables, but still lacks
overarching principles to guide their intricate architectures. We show that
twisted hyperelastic sheets form multilayered self-scrolled yarns, through
recursive folding and twist localization, that can be reconfigured and
redeployed. We combine weakly nonlinear elasticity and origami to explain the
observed ordered progression beyond the realm of perturbative models.
Incorporating dominant stretching modes with folding kinematics, we explain the
measured torque and energetics originating from geometric nonlinearities due to
large displacements. Complementarily, we show that the resulting structures can
be algorithmically generated using Schl\"afli symbols for star-shaped polygons.
A geometric model is then introduced to explain the formation and structure of
self-scrolled yarns. Our tensional twist-folding framework shows that origami
can be harnessed to understand the transformation of stretchable sheets into
self-assembled architectures with a simple twist.
