  We explore the coupling between the helix-coil and coil-globule transitions
of a helical polymer using Monte Carlo simulations. A very rich state diagram
is found. Each state is characterized by a specific configuration of the chain
which could be a helix, a random coil, an amorphous globule or one of various
other globular states which carry residual helical strands. We study the
boundaries between states and provide further insight into the physics of the
system with a detailed analysis of the order parameter and other properties.
