  We consider amplituhedron-like geometries which are defined in a similar way
to the intrinsic definition of the amplituhedron but with non-maximal winding
number. We propose that for the cases with minimal number of points the
canonical form of these geometries corresponds to the product of parity
conjugate amplitudes at tree as well as loop level. The product of amplitudes
in superspace lifts to a star product in bosonised superspace which we give a
precise definition of. We give an alternative definition of amplituhedron-like
geometries, analogous to the original amplituhedron definition, and also a
characterisation as a sum over pairs of on-shell diagrams that we use to prove
the conjecture at tree level. The union of all amplituhedron-like geometries
has a very simple definition given by only physical inequalities. Although such
a union does not give a positive geometry, a natural extension of the standard
definition of canonical form, the globally oriented canonical form, acts on
this union and gives the square of the amplitude.
