Grassmann variables were introduced to make path-integral formalism easier to handle fermionic (anti-commutating) fields.
Mathematically they represent the exterior algebra of forms (or exterior derivatives).
Furthermore they can be represented (matrix representation theory) as matrices of dimension $2^n \times 2^n$.
However a similar concept is found in complex numbers which have both a matrix representation and a geometric one (as $2$-dimensional vectors).
What is the geometric representation/interpretation of a Grassmann number (even in higher dimension if needed)?
More specificaly what would be the geometric intepretation of $\theta^2=0$?
For example a mixed number of the form $a+b\theta$ (in geometric analogy to complex number)