  A single-crystal sheet of graphene is synthesized on the low-symmetry
substrate Ir(110) by thermal decomposition of C$_2$H$_4$ at 1500 K. Using
scanning tunneling microscopy, low-energy electron diffraction, angle-resolved
photoemission spectroscopy, and ab initio density functional theory the
structure and electronic properties of the adsorbed graphene sheet and its
moir\'e with the substrate are uncovered. The adsorbed graphene layer forms a
wave pattern of nm wave length with a corresponding modulation of its
electronic properties. This wave pattern is demonstrated to enable the
templated adsorption of aromatic molecules and the uniaxial growth of
organometallic wires. Not limited to this, graphene on Ir(110) is also a
versatile substrate for 2D-layer growth and makes it possible to grow epitaxial
layers on ureconstructed Ir(110).
