We present an ultraviolet extension of the Twin Higgs in which the radial
mode of twin symmetry breaking is itself a pseudo-goldstone boson. This
"turtle" structure raises the scale of new colored particles in exchange for
additional states in the Higgs sector, making multiple Higgs-like scalars the
definitive signature of naturalness in this context. We explore the parametrics
and phenomenology of a concrete Twin Turtle model and demonstrate its
robustness in two different supersymmetric completions. Along the way, we also
introduce a new mechanism for inducing hard twin symmetry-breaking quartics via
soft supersymmetry breaking.Comment: 36 pages, 13 figure
