  A simplified view of the space of optimised stellarators has the potential to
guide and aid the design efforts of magnetic confinement configurations
suitable for future fusion reactors. We present one such view for the class of
quasisymmetric stellarators based on their approximate description near their
centre (magnetic axis). The result is a space that captures existing designs
and presents new ones, providing a common framework to study them. Such a
simplified construction offers a basic topological approach, guided by certain
theoretical and physical choices, which this paper presents in detail.
