  A statistical study of crumpled paper is allowed by a minimal 1D model: a
self-avoiding line bent at sharp angles -- in which resides the elastic energy
-- put in a confining potential. Many independent equilibrium configurations
are generated numerically and their properties are investigated. At small
confinement, the distribution of segment lengths is log-normal in agreement
with previous predictions and experiments. At high confinement, the system
approaches a jammed state with a critical behavior, whereas the length
distribution follows a Gamma law which parameter is predicted as a function of
the number of layers in the system.
