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In this paper we study a classical Maxwell question on the existence ofself-stresses for frameworks, which are called tensegrities. We give a completeanswer 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.

Geometric criteria for realizability of tensegrities in higher dimensions