  In this paper we study a classical Maxwell question on the existence of
self-stresses for frameworks, which are called tensegrities. We give a complete
answer on geometric conditions of at most $(d+1)$-valent tensegrities in
$\mathbb{R}^d$ both in terms of discrete multiplicative 1-forms and in terms of
"meet" and "join" operations in the Grassmann-Cayley algebra.
