  We describe some regular behavior in the motivic wedge, which is a subalgebra
of the cohomology Ext$_{\mathbf{A}}(\mathbb{M}_2,\mathbb{M}_2)$ of the
$\mathbb{C}$-motivic Steenrod algebra. The key tool is to compare motivic
computations to classical computations, to
Ext$_{\mathbf{A}(2)}(\mathbb{M}_2,\mathbb{M}_2)$, or to $h_1$-localization of
Ext$_{\mathbf{A}}(\mathbb{M}_2,\mathbb{M}_2)$. We also give a conjecture on the
behavior of the family $e_0^tg^k$ in
Ext$_{\mathbf{A}}(\mathbb{M}_2,\mathbb{M}_2)$ which raises naturally from the
study of the motivic wedge.
